Details

analyze130.0ms (0.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	49.9%	49.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	9
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	10
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	11
93.8%	93.6%	6.2%	0.1%	0%	0%	0%	12

Compiler

Compiled 27 to 21 computations (22.2% saved)

sample3.0s (11.1%)

Results

1.1s	5686×	body	256	valid
868.0ms	908×	body	4096	valid
684.0ms	941×	body	2048	valid
246.0ms	478×	body	1024	valid
88.0ms	243×	body	512	valid

Bogosity

preprocess4.9s (18.1%)

Algorithm

2×	egg-herbie

Rules

3876×	`rational.json-simplify-1`
3796×	`rational.json-simplify-41`
2618×	`rational.json-simplify-35`
16×	`rational.json-simplify-2`
8×	`rational.json-simplify-42`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	284
1	91	284
2	108	284
3	141	284
4	206	284
5	388	284
6	896	284
7	1168	284
8	1185	284
9	1202	284
10	1219	284
11	1236	284
12	1253	284
13	1270	284
14	1287	284
15	1304	284
16	1321	284
17	1338	284
18	1355	284
19	1372	284
20	1389	284
21	1406	284
22	3767	284
23	3784	284
24	3801	284
25	3818	284
26	3835	284
27	3852	284
28	3869	284
29	3886	284
30	3903	284
31	3920	284
32	3937	284
33	3954	284
34	3971	284
35	3988	284
36	5447	284
37	5464	284
38	5481	284
39	5498	284
40	5515	284
41	5532	284
42	5549	284
43	5566	284
44	5583	284
45	5600	284
46	5617	284
47	5634	284
48	5651	284
49	5668	284
50	5685	284
51	5702	284
52	5719	284
53	5736	284
54	5753	284
55	5770	284
56	5787	284
57	5804	284
58	5821	284
59	5838	284
60	5855	284
61	5872	284
62	5889	284
63	5906	284
64	5923	284
65	5940	284
66	5957	284
67	5974	284
68	5991	284
69	6008	284
70	6025	284
71	6042	284
72	6059	284
73	6076	284
74	6093	284
75	6110	284
76	6127	284
77	6144	284
78	6161	284
79	6178	284
80	6195	284
81	6212	284
82	6229	284
83	6246	284
84	6263	284
85	6280	284
86	6297	284
87	6314	284
88	6331	284
89	6348	284
90	6365	284
91	6382	284
92	6399	284
93	6416	284
94	6433	284
95	6450	284
96	6467	284
97	6484	284
98	6501	284
99	6518	284
100	6535	284
101	6552	284
102	6569	284
103	6586	284
104	6603	284
105	6620	284
106	6637	284
107	6654	284
108	6671	284
109	6688	284
110	6705	284
111	6722	284
112	6739	284
113	6756	284
114	6773	284
115	6790	284
116	6807	284
117	6824	284
118	6841	284
119	6858	284
120	6875	284
121	6892	284
122	6909	284
123	6926	284
124	6943	284
125	6960	284
126	6977	284
127	6994	284
128	7011	284
129	7028	284
130	7045	284
131	7062	284
132	7079	284
133	7096	284
134	7113	284
135	7130	284
136	7147	284
137	7164	284
138	7181	284
139	7198	284
140	7215	284
141	7232	284
142	7249	284
143	7249	284
144	7266	284
145	7283	284
146	7300	284
147	7317	284
148	7334	284
149	7351	284
150	7368	284
151	7385	284
152	7402	284
153	7419	284
154	7436	284
155	7453	284
156	7470	284
157	7487	284
158	7504	284
159	7521	284
160	7538	284
161	7555	284
162	7572	284
163	7589	284
164	7606	284
165	7623	284
166	7640	284
167	7657	284
168	7674	284
169	7691	284
170	7708	284
171	7725	284
172	7742	284
173	7759	284
174	7776	284
175	7793	284
176	7810	284
177	7827	284
178	7844	284
179	7861	284
180	7878	284
181	7895	284
182	7912	284
183	7929	284
184	7946	284
185	7963	284
186	7980	284
187	7997	284
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 1 B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 1 A) (-.f64 (-.f64 C B) (sqrt.f64 (+.f64 (pow.f64 (-.f64 B C) 2) (pow.f64 A 2)))))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 1 B) (-.f64 (-.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 C A) 2) (pow.f64 B 2)))))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 1 C) (-.f64 (-.f64 B A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A B) 2) (pow.f64 C 2)))))) (PI.f64)))

Outputs
(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 1 B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 1 A) (-.f64 (-.f64 C B) (sqrt.f64 (+.f64 (pow.f64 (-.f64 B C) 2) (pow.f64 A 2)))))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 1 B) (-.f64 (-.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 C A) 2) (pow.f64 B 2)))))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 1 B) (-.f64 (-.f64 A C) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 (-.f64 C A) 2)))))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 1 C) (-.f64 (-.f64 B A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A B) 2) (pow.f64 C 2)))))) (PI.f64)))

Compiler

Compiled 29 to 23 computations (20.7% saved)

simplify7.6s (28.2%)

Algorithm

1×	egg-herbie

Rules

32808×	`rational.json-simplify-41`
3698×	`rational.json-simplify-1`
1296×	`rational.json-simplify-35`
4×	`rational.json-simplify-2`
2×	`rational.json-simplify-42`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	71
1	34	71
2	41	71
3	54	71
4	79	71
5	148	71
6	334	71
7	915	71
8	1164	71
9	1171	71
10	1178	71
11	1185	71
12	1192	71
13	1199	71
14	1206	71
15	1213	71
16	1220	71
17	1227	71
18	1234	71
19	1241	71
20	1248	71
21	1255	71
22	1262	71
23	1269	71
24	1276	71
25	1283	71
26	1290	71
27	1297	71
28	1304	71
29	1311	71
30	1318	71
31	1325	71
32	1332	71
33	1339	71
34	1346	71
35	1353	71
36	1360	71
37	1367	71
38	1374	71
39	1381	71
40	1388	71
41	1395	71
42	1402	71
43	4277	71
44	4284	71
45	4291	71
46	4298	71
47	4305	71
48	4312	71
49	4319	71
50	4326	71
51	4333	71
52	4340	71
53	4347	71
54	4354	71
55	4361	71
56	4368	71
57	4375	71
58	4382	71
59	5682	71
60	5689	71
61	5696	71
62	5703	71
63	5710	71
64	5717	71
65	5724	71
66	5731	71
67	5738	71
68	5745	71
69	5752	71
70	5759	71
71	5766	71
72	5773	71
73	5780	71
74	5787	71
75	5794	71
76	5801	71
77	5808	71
78	5815	71
79	5822	71
80	5829	71
81	5836	71
82	5843	71
83	5850	71
84	5857	71
85	5864	71
86	5871	71
87	5878	71
88	5885	71
89	5892	71
90	5899	71
91	5906	71
92	5913	71
93	5920	71
94	5927	71
95	5934	71
96	5941	71
97	5948	71
98	5955	71
99	5962	71
100	5969	71
101	5976	71
102	5983	71
103	5990	71
104	5997	71
105	6004	71
106	6011	71
107	6018	71
108	6025	71
109	6032	71
110	6039	71
111	6046	71
112	6053	71
113	6060	71
114	6067	71
115	6074	71
116	6081	71
117	6088	71
118	6095	71
119	6102	71
120	6109	71
121	6116	71
122	6123	71
123	6130	71
124	6137	71
125	6144	71
126	6151	71
127	6158	71
128	6165	71
129	6172	71
130	6179	71
131	6186	71
132	6193	71
133	6200	71
134	6207	71
135	6214	71
136	6221	71
137	6228	71
138	6235	71
139	6242	71
140	6249	71
141	6256	71
142	6263	71
143	6270	71
144	6277	71
145	6284	71
146	6291	71
147	6298	71
148	6305	71
149	6312	71
150	6319	71
151	6326	71
152	6333	71
153	6340	71
154	6347	71
155	6354	71
156	6361	71
157	6368	71
158	6375	71
159	6382	71
160	6389	71
161	6396	71
162	6403	71
163	6410	71
164	6417	71
165	6424	71
166	6431	71
167	6438	71
168	6445	71
169	6452	71
170	6459	71
171	6466	71
172	6473	71
173	6480	71
174	6487	71
175	6494	71
176	6501	71
177	6508	71
178	6515	71
179	6522	71
180	6529	71
181	6536	71
182	6543	71
183	6550	71
184	6557	71
185	6564	71
186	6571	71
187	6578	71
188	6585	71
189	6592	71
190	6599	71
191	6606	71
192	6613	71
193	6620	71
194	6627	71
195	6634	71
196	6641	71
197	6648	71
198	6655	71
199	6662	71
200	6669	71
201	6676	71
202	6683	71
203	6690	71
204	6697	71
205	6704	71
206	6711	71
207	6718	71
208	6725	71
209	6732	71
210	6739	71
211	6746	71
212	6753	71
213	6760	71
214	6767	71
215	6774	71
216	6781	71
217	6788	71
218	6795	71
219	6802	71
220	6809	71
221	6816	71
222	6823	71
223	6830	71
224	6837	71
225	6844	71
226	6851	71
227	6858	71
228	6865	71
229	6872	71
230	6879	71
231	6886	71
232	6893	71
233	6900	71
234	6907	71
235	6914	71
236	6921	71
237	6928	71
238	6935	71
239	6942	71
240	6949	71
241	6956	71
242	6963	71
243	6970	71
244	6977	71
245	6984	71
246	6991	71
247	6998	71
248	7005	71
249	7012	71
250	7019	71
251	7026	71
252	7033	71
253	7040	71
254	7047	71
255	7054	71
256	7061	71
257	7068	71
258	7075	71
259	7082	71
260	7089	71
261	7096	71
262	7103	71
263	7110	71
264	7117	71
265	7124	71
266	7131	71
267	7138	71
268	7145	71
269	7152	71
270	7159	71
271	7166	71
272	7173	71
273	7180	71
274	7187	71
275	7194	71
276	7201	71
277	7208	71
278	7215	71
279	7222	71
280	7229	71
281	7236	71
282	7243	71
283	7250	71
284	7257	71
285	7264	71
286	7271	71
287	7278	71
288	7285	71
289	7292	71
290	7299	71
291	7306	71
292	7313	71
293	7320	71
294	7327	71
295	7334	71
296	7341	71
297	7348	71
298	7355	71
299	7362	71
300	7369	71
301	7376	71
302	7383	71
303	7390	71
304	7397	71
305	7404	71
306	7411	71
307	7418	71
308	7425	71
309	7432	71
310	7439	71
311	7446	71
312	7453	71
313	7460	71
314	7467	71
315	7474	71
316	7481	71
317	7488	71
318	7495	71
319	7502	71
320	7509	71
321	7516	71
322	7523	71
323	7530	71

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 1 B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))))) (PI.f64)))

Outputs
(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 1 B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))))) (PI.f64)))

eval1.0ms (0%)

Compiler: Compiled 26 to 20 computations (23.1% 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

29.8b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.8b	(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 1 B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))))) (PI.f64)))

Compiler

Compiled 26 to 20 computations (23.1% saved)

localize50.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (-.f64 A C) 2)
✓	0.1b	(*.f64 (/.f64 1 B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))))
✓	0.3b	(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))
✓	34.5b	(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))

Compiler

Compiled 141 to 80 computations (43.3% saved)

series17.0ms (0.1%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Point	Expression
2.0ms	C	@	inf	(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))
1.0ms	A	@	-inf	(pow.f64 (-.f64 A C) 2)
1.0ms	C	@	-inf	(*.f64 (/.f64 1 B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))))
1.0ms	A	@	0	(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))
1.0ms	C	@	0	(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))

rewrite99.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1838×	`bool.json-1`
1838×	`bool.json-2`
1802×	`rational.json-1`
1406×	`bool.json-3`
710×	`rational.json-simplify-35`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	136
1	171	130
2	442	130
3	929	130
4	2077	130
5	5635	130

Stop Event

1×	node limit

Counts

4 → 121

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))
(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))
(*.f64 (/.f64 1 B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))))
(pow.f64 (-.f64 A C) 2)

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

simplify201.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1888×	`rational.json-simplify-35`
1218×	`rational.json-simplify-46`
778×	`rational.json-simplify-48`
670×	`rational.json-simplify-51`
636×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	633	14609
1	1616	14323
2	4198	14193
3	6670	14141

Stop Event

1×	node limit

Counts

253 → 478

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2))) (.f64 -1 (.f64 (*.f64 A C) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))))
(+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 A 2) (-.f64 1 (pow.f64 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2))) (.f64 -1 (.f64 (.f64 A C) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2))))))))
(+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 A 3) (.f64 C (-.f64 1 (pow.f64 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) 2)))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) 3))))) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 A 2) (-.f64 1 (pow.f64 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2))) (.f64 -1 (.f64 (.f64 A C) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))))))
A
(+.f64 A (*.f64 -1 C))
(+.f64 A (+.f64 (.f64 -1 C) (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) (pow.f64 (*.f64 -1 C) 2)) A))))
(+.f64 A (+.f64 (.f64 -1 C) (+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) (pow.f64 (.f64 -1 C) 2)) A)) (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) (pow.f64 (.f64 -1 C) 2)) C) (pow.f64 A 2))))))
(*.f64 -1 A)
(+.f64 C (*.f64 -1 A))
(+.f64 C (+.f64 (.f64 -1/2 (/.f64 (pow.f64 B 2) A)) (.f64 -1 A)))
(+.f64 C (+.f64 (.f64 -1/2 (/.f64 (.f64 C (pow.f64 B 2)) (pow.f64 A 2))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 B 2) A)) (.f64 -1 A))))
(sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))
(+.f64 (.f64 -1 (.f64 (*.f64 A C) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))
(+.f64 (.f64 -1 (.f64 (.f64 A C) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))) (.f64 1/2 (.f64 (.f64 (-.f64 1 (pow.f64 (.f64 -1 (.f64 A (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))) 2)) (pow.f64 C 2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))))))
(+.f64 (.f64 -1 (.f64 (.f64 A C) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))) (+.f64 (.f64 1/2 (.f64 (.f64 A (.f64 (pow.f64 C 3) (-.f64 1 (pow.f64 (.f64 -1 (.f64 A (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))) 2)))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) 3))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))) (.f64 1/2 (.f64 (.f64 (-.f64 1 (pow.f64 (.f64 -1 (.f64 A (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))) 2)) (pow.f64 C 2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))))))
C
(+.f64 C (*.f64 -1 A))
(+.f64 C (+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (.f64 -1 A) 2)) C)) (*.f64 -1 A)))
(+.f64 C (+.f64 (.f64 1/2 (/.f64 (.f64 A (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (.f64 -1 A) 2))) (pow.f64 C 2))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (.f64 -1 A) 2)) C)) (.f64 -1 A))))
(*.f64 -1 C)
(+.f64 A (*.f64 -1 C))
(+.f64 A (+.f64 (.f64 -1 C) (.f64 -1/2 (/.f64 (pow.f64 B 2) C))))
(+.f64 A (+.f64 (.f64 -1 C) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 B 2) C)) (.f64 -1/2 (/.f64 (.f64 A (pow.f64 B 2)) (pow.f64 C 2))))))
(-.f64 A C)
(-.f64 (+.f64 A (*.f64 1/2 (/.f64 (pow.f64 B 2) (-.f64 A C)))) C)
(-.f64 (+.f64 A (+.f64 (.f64 1/2 (/.f64 (pow.f64 B 2) (-.f64 A C))) (.f64 -1/8 (/.f64 (pow.f64 B 4) (pow.f64 (-.f64 A C) 3))))) C)
(-.f64 (+.f64 A (+.f64 (.f64 1/16 (/.f64 (pow.f64 B 6) (pow.f64 (-.f64 A C) 5))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 B 2) (-.f64 A C))) (*.f64 -1/8 (/.f64 (pow.f64 B 4) (pow.f64 (-.f64 A C) 3)))))) C)
B
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) B)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (-.f64 A C) 4) (pow.f64 B 3))) B))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (-.f64 A C) 6) (pow.f64 B 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (-.f64 A C) 4) (pow.f64 B 3))) B)))
(*.f64 -1 B)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (.f64 -1 B))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (-.f64 A C) 4) (pow.f64 B 3))) (*.f64 -1 B)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (-.f64 A C) 4) (pow.f64 B 3))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 (-.f64 A C) 6) (pow.f64 B 5))) (.f64 -1 B))))
(*.f64 -1 (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))
(+.f64 (.f64 C (-.f64 1 (.f64 -1 (.f64 A (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))))) (.f64 -1 (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))))
(+.f64 (.f64 C (-.f64 1 (.f64 -1 (.f64 A (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))))) (+.f64 (.f64 -1/2 (.f64 (.f64 (-.f64 1 (pow.f64 (.f64 -1 (.f64 A (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))) 2)) (pow.f64 C 2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))) (*.f64 -1 (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))))
(+.f64 (.f64 C (-.f64 1 (.f64 -1 (.f64 A (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))))) (+.f64 (.f64 -1/2 (.f64 (.f64 A (.f64 (pow.f64 C 3) (-.f64 1 (pow.f64 (.f64 -1 (.f64 A (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))) 2)))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) 3))))) (+.f64 (.f64 -1/2 (.f64 (.f64 (-.f64 1 (pow.f64 (.f64 -1 (.f64 A (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))) 2)) (pow.f64 C 2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))) (*.f64 -1 (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))))))
(.f64 -1 (+.f64 A (.f64 -1 A)))
(+.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (.f64 -1 A) 2)) C)) (.f64 -1 (+.f64 A (.f64 -1 A))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 A (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (.f64 -1 A) 2))) (pow.f64 C 2))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (.f64 -1 A) 2)) C)) (.f64 -1 (+.f64 A (*.f64 -1 A)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 A (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (.f64 -1 A) 2))) (pow.f64 C 2))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 A 2) (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (.f64 -1 A) 2)))) (pow.f64 (.f64 1/2 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (.f64 -1 A) 2))) 2)) (pow.f64 C 3))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (.f64 -1 A) 2)) C)) (.f64 -1 (+.f64 A (*.f64 -1 A))))))
(*.f64 2 C)
(+.f64 (.f64 -2 A) (.f64 2 C))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 B 2) C)) (+.f64 (.f64 -2 A) (*.f64 2 C)))
(+.f64 (.f64 1/2 (/.f64 (.f64 A (pow.f64 B 2)) (pow.f64 C 2))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 B 2) C)) (+.f64 (.f64 -2 A) (*.f64 2 C))))
(-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2))))
(-.f64 (+.f64 (.f64 -1 (.f64 A (+.f64 1 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2))))))))) C) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2))))
(-.f64 (+.f64 (.f64 -1 (.f64 A (+.f64 1 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2))))))))) (+.f64 C (.f64 -1/2 (.f64 (.f64 (pow.f64 A 2) (-.f64 1 (pow.f64 (.f64 -1 (*.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))))) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2))))
(-.f64 (+.f64 (.f64 -1 (.f64 A (+.f64 1 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2))))))))) (+.f64 (.f64 -1/2 (.f64 (.f64 (pow.f64 A 3) (.f64 C (-.f64 1 (pow.f64 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) 2)))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) 3))))) (+.f64 C (.f64 -1/2 (.f64 (.f64 (pow.f64 A 2) (-.f64 1 (pow.f64 (.f64 -1 (*.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2))))))))) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2))))
(*.f64 -2 A)
(-.f64 (+.f64 C (.f64 -2 A)) (.f64 -1 C))
(-.f64 (+.f64 C (+.f64 (.f64 -2 A) (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) (pow.f64 (.f64 -1 C) 2)) A)))) (.f64 -1 C))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) (pow.f64 (.f64 -1 C) 2)) C) (pow.f64 A 2))) (+.f64 C (+.f64 (.f64 -2 A) (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) (pow.f64 (.f64 -1 C) 2)) A))))) (*.f64 -1 C))
(*.f64 1/2 (/.f64 (pow.f64 B 2) A))
(+.f64 (.f64 1/2 (/.f64 (.f64 C (pow.f64 B 2)) (pow.f64 A 2))) (*.f64 1/2 (/.f64 (pow.f64 B 2) A)))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 1/2 (pow.f64 B 2)) 2) (.f64 -1 (.f64 (pow.f64 C 2) (pow.f64 B 2)))) (pow.f64 A 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 C (pow.f64 B 2)) (pow.f64 A 2))) (*.f64 1/2 (/.f64 (pow.f64 B 2) A))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1/2 (.f64 C (pow.f64 B 4))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 C 2) (pow.f64 B 2))) (pow.f64 (.f64 1/2 (pow.f64 B 2)) 2)) C))) (pow.f64 A 4))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 1/2 (pow.f64 B 2)) 2) (.f64 -1 (.f64 (pow.f64 C 2) (pow.f64 B 2)))) (pow.f64 A 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 C (pow.f64 B 2)) (pow.f64 A 2))) (*.f64 1/2 (/.f64 (pow.f64 B 2) A)))))
(-.f64 (.f64 2 C) (.f64 2 A))
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B
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-1
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1
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(neg.f64 (+.f64 (-.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))))
(+.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B) 0)
(+.f64 0 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B))
(-.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B) 0)
(/.f64 2 (*.f64 B (/.f64 2 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))))))
(/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)
(/.f64 1 (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))
(/.f64 1 (.f64 (.f64 1/2 (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))))) 2))
(/.f64 (/.f64 1 B) (/.f64 1 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))
(/.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B) 1)
(/.f64 (*.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) (/.f64 2 B)) 2)
(/.f64 (*.f64 2 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))) (+.f64 B B))
(/.f64 4 (/.f64 (*.f64 B 4) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))
(/.f64 4 (.f64 (.f64 B (/.f64 2 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))))) 2))
(/.f64 4 (.f64 (/.f64 (.f64 B 4) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))) 1))
(/.f64 (/.f64 2 B) (/.f64 2 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))
(/.f64 (+.f64 (-.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) (neg.f64 B))
(/.f64 -1 (/.f64 B (+.f64 (-.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))
(/.f64 -1 (-.f64 0 (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))))))
(/.f64 (.f64 (+.f64 (-.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) -4) (.f64 B 4))
(/.f64 (/.f64 (*.f64 (+.f64 (-.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) -4) B) 4)
(/.f64 8 (+.f64 (/.f64 (.f64 B 4) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))) (/.f64 (.f64 B 4) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))))))
(/.f64 8 (/.f64 (*.f64 B 8) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))
(/.f64 -2 (-.f64 0 (*.f64 B (/.f64 2 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))))
(/.f64 1/2 (*.f64 1/2 (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))))))
(/.f64 (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))) (*.f64 (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))) (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))))))
(/.f64 (.f64 B (/.f64 2 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))))) (.f64 (*.f64 (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))) (/.f64 B (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))))) 2))
(/.f64 (.f64 2 (.f64 (+.f64 (-.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) -4)) (*.f64 B 8))
(/.f64 (.f64 2 (.f64 (+.f64 (-.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) -4)) (*.f64 8 B))
(/.f64 (.f64 2 (+.f64 (-.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))) (.f64 B -2))
(/.f64 (.f64 2 (/.f64 (.f64 (+.f64 (-.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) -4) B)) 8)
(/.f64 (*.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) (/.f64 1/2 B)) 1/2)
(/.f64 (.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) 1/2) (.f64 B 1/2))
(/.f64 (neg.f64 (.f64 2 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))))) (.f64 B -2))
(/.f64 (neg.f64 (*.f64 2 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))))) (neg.f64 (+.f64 B B)))
(/.f64 (+.f64 (.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) (/.f64 1/2 B)) (.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) (/.f64 1/2 B))) 1)
(/.f64 (+.f64 (.f64 2 (+.f64 (-.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))) (.f64 2 (+.f64 (-.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))))) (.f64 2 (.f64 B -2)))
(/.f64 (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (-.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) -4) B)) (.f64 2 (/.f64 (.f64 (+.f64 (-.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) -4) B))) 16)
(/.f64 (+.f64 (neg.f64 (.f64 2 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))))) (neg.f64 (.f64 2 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))) (*.f64 2 (neg.f64 (+.f64 B B))))
(/.f64 (/.f64 (+.f64 (-.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B) -1)
(/.f64 (/.f64 (.f64 2 (.f64 (+.f64 (-.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) -4)) B) 8)
(/.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) (neg.f64 B)) -1)
(/.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) 1/2) (+.f64 B B))
(/.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) (*.f64 B 4)) 1/4)
(/.f64 (neg.f64 (.f64 (+.f64 (-.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) -4)) (neg.f64 (.f64 B 4)))
(/.f64 (neg.f64 (.f64 2 (+.f64 (-.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))))) (-.f64 0 (.f64 B -2)))
(/.f64 (neg.f64 (neg.f64 (*.f64 2 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))) (+.f64 B B))
(/.f64 (neg.f64 (neg.f64 (*.f64 2 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))) (-.f64 0 (neg.f64 (+.f64 B B))))
(+.f64 (pow.f64 (-.f64 A C) 2) 0)
(+.f64 0 (pow.f64 (-.f64 A C) 2))
(-.f64 (pow.f64 (-.f64 A C) 2) 0)
(.f64 2 (.f64 (pow.f64 (-.f64 A C) 2) 1/2))
(*.f64 (pow.f64 (-.f64 A C) 2) 1)
(*.f64 1 (pow.f64 (-.f64 A C) 2))
(.f64 (.f64 2 (pow.f64 (-.f64 A C) 2)) 1/2)
(*.f64 4 (/.f64 (pow.f64 (-.f64 A C) 2) 4))
(.f64 (.f64 (pow.f64 (-.f64 A C) 2) 4) 1/4)
(.f64 1/2 (.f64 2 (pow.f64 (-.f64 A C) 2)))
(.f64 (.f64 (pow.f64 (-.f64 A C) 2) 1/2) 2)
(/.f64 (pow.f64 (-.f64 A C) 2) 1)
(/.f64 (*.f64 2 (pow.f64 (-.f64 A C) 2)) 2)
(/.f64 (*.f64 (pow.f64 (-.f64 A C) 2) 4) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 (-.f64 A C) 2) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (-.f64 A C) 2) 4)) (.f64 2 (.f64 (pow.f64 (-.f64 A C) 2) 4))) 16)

Outputs
(sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2))) (.f64 -1 (.f64 (*.f64 A C) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2))) (.f64 (.f64 C A) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))) -1)))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2))) (.f64 (.f64 C A) (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))))
(+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 A 2) (-.f64 1 (pow.f64 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2))) (.f64 -1 (.f64 (.f64 A C) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2))))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2))) (+.f64 (.f64 (.f64 C A) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))) -1)) (.f64 (.f64 (pow.f64 A 2) (-.f64 1 (pow.f64 (.f64 C (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))) -1)) 2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))) 1/2))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2))) (.f64 (.f64 C A) (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2))))))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))) (.f64 (.f64 (pow.f64 A 2) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))) (neg.f64 C)) 2))) 1/2)))
(+.f64 (.f64 (.f64 C A) (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))) (.f64 (.f64 (pow.f64 A 2) (-.f64 1 (pow.f64 (.f64 C (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) 2))) 1/2)) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))
(+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 A 3) (.f64 C (-.f64 1 (pow.f64 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) 2)))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) 3))))) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 A 2) (-.f64 1 (pow.f64 (.f64 -1 (.f64 C (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2))) (.f64 -1 (.f64 (.f64 A C) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2))) (+.f64 (.f64 (.f64 C A) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))) -1)) (.f64 (.f64 (pow.f64 A 2) (-.f64 1 (pow.f64 (.f64 C (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))) -1)) 2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))) 1/2)))) (.f64 (.f64 C (.f64 (-.f64 1 (pow.f64 (.f64 C (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))) -1)) 2)) (pow.f64 A 3))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) 3))) 1/2)))
(+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2))) (.f64 (.f64 C A) (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2))))))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))) (.f64 (.f64 (pow.f64 A 2) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))) (neg.f64 C)) 2))) 1/2))) (.f64 1/2 (.f64 (pow.f64 A 3) (.f64 (.f64 C (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))) (neg.f64 C)) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) 3)))))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2))) (.f64 (.f64 C A) (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2))))))) (.f64 1/2 (+.f64 (.f64 (-.f64 1 (pow.f64 (.f64 C (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) 2)) (.f64 (pow.f64 A 2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) (.f64 (pow.f64 A 3) (.f64 (.f64 C (-.f64 1 (pow.f64 (.f64 C (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 C 2)))))) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) 3))))))))
A
(+.f64 A (*.f64 -1 C))
(+.f64 A (*.f64 C -1))
(+.f64 A (neg.f64 C))
(+.f64 A (+.f64 (.f64 -1 C) (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) (pow.f64 (*.f64 -1 C) 2)) A))))
(+.f64 A (+.f64 (.f64 C -1) (.f64 1/2 (/.f64 (+.f64 (pow.f64 C 2) (-.f64 (pow.f64 B 2) (pow.f64 (*.f64 C -1) 2))) A))))
(+.f64 A (+.f64 (neg.f64 C) (*.f64 1/2 (/.f64 (+.f64 (pow.f64 C 2) (-.f64 (pow.f64 B 2) (pow.f64 (neg.f64 C) 2))) A))))
(+.f64 (neg.f64 C) (+.f64 A (*.f64 1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 C 2) (pow.f64 (neg.f64 C) 2))) A))))
(+.f64 A (+.f64 (.f64 -1 C) (+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) (pow.f64 (.f64 -1 C) 2)) A)) (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 C 2)) (pow.f64 (.f64 -1 C) 2)) C) (pow.f64 A 2))))))
(+.f64 A (+.f64 (.f64 C -1) (+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 C 2) (-.f64 (pow.f64 B 2) (pow.f64 (.f64 C -1) 2))) A)) (.f64 1/2 (.f64 C (/.f64 (+.f64 (pow.f64 C 2) (-.f64 (pow.f64 B 2) (pow.f64 (.f64 C -1) 2))) (pow.f64 A 2)))))))
(+.f64 A (+.f64 (neg.f64 C) (.f64 1/2 (+.f64 (.f64 C (/.f64 (+.f64 (pow.f64 C 2) (-.f64 (pow.f64 B 2) (pow.f64 (neg.f64 C) 2))) (pow.f64 A 2))) (/.f64 (+.f64 (pow.f64 C 2) (-.f64 (pow.f64 B 2) (pow.f64 (neg.f64 C) 2))) A)))))
(+.f64 (.f64 1/2 (+.f64 (.f64 C (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 C 2) (pow.f64 (neg.f64 C) 2))) (pow.f64 A 2))) (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 C 2) (pow.f64 (neg.f64 C) 2))) A))) (+.f64 A (neg.f64 C)))
(*.f64 -1 A)
(neg.f64 A)
(+.f64 C (*.f64 -1 A))
(+.f64 C (neg.f64 A))
(+.f64 C (+.f64 (.f64 -1/2 (/.f64 (pow.f64 B 2) A)) (.f64 -1 A)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 B 2) A)) (+.f64 C (neg.f64 A)))
(+.f64 C (+.f64 (neg.f64 A) (*.f64 -1/2 (/.f64 (pow.f64 B 2) A))))
(+.f64 (neg.f64 A) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 B 2) A)) C))
(+.f64 C (+.f64 (.f64 -1/2 (/.f64 (.f64 C (pow.f64 B 2)) (pow.f64 A 2))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 B 2) A)) (.f64 -1 A))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 B 2) (/.f64 C (pow.f64 A 2)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 B 2) A)) (+.f64 C (neg.f64 A))))
(+.f64 C (+.f64 (neg.f64 A) (+.f64 (.f64 (pow.f64 B 2) (.f64 (/.f64 C (pow.f64 A 2)) -1/2)) (*.f64 -1/2 (/.f64 (pow.f64 B 2) A)))))
(+.f64 C (+.f64 (neg.f64 A) (.f64 -1/2 (+.f64 (/.f64 (pow.f64 B 2) A) (.f64 (pow.f64 B 2) (/.f64 C (pow.f64 A 2)))))))
(sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))
(+.f64 (.f64 -1 (.f64 (*.f64 A C) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))) (.f64 -1 (.f64 (*.f64 C A) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))) (neg.f64 (.f64 C (.f64 A (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) (neg.f64 (.f64 C A))))
(+.f64 (.f64 -1 (.f64 (.f64 A C) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))) (.f64 1/2 (.f64 (.f64 (-.f64 1 (pow.f64 (.f64 -1 (.f64 A (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))) 2)) (pow.f64 C 2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))) (+.f64 (.f64 (.f64 (pow.f64 C 2) (-.f64 1 (pow.f64 (.f64 -1 (.f64 A (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))) 2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) 1/2)) (.f64 -1 (.f64 (.f64 C A) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))))))
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C
(+.f64 C (*.f64 -1 A))
(+.f64 C (neg.f64 A))
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(+.f64 (+.f64 C (neg.f64 A)) (*.f64 1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)))
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(*.f64 -1 C)
(*.f64 C -1)
(neg.f64 C)
(+.f64 A (*.f64 -1 C))
(+.f64 A (*.f64 C -1))
(+.f64 A (neg.f64 C))
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(-.f64 A C)
(-.f64 (+.f64 A (*.f64 1/2 (/.f64 (pow.f64 B 2) (-.f64 A C)))) C)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 B 2) (-.f64 A C))) (-.f64 A C))
(+.f64 A (-.f64 (*.f64 1/2 (/.f64 (pow.f64 B 2) (-.f64 A C))) C))
(+.f64 (-.f64 A C) (*.f64 1/2 (/.f64 (pow.f64 B 2) (-.f64 A C))))
(-.f64 (+.f64 A (+.f64 (.f64 1/2 (/.f64 (pow.f64 B 2) (-.f64 A C))) (.f64 -1/8 (/.f64 (pow.f64 B 4) (pow.f64 (-.f64 A C) 3))))) C)
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(-.f64 (+.f64 A (+.f64 (.f64 1/16 (/.f64 (pow.f64 B 6) (pow.f64 (-.f64 A C) 5))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 B 2) (-.f64 A C))) (*.f64 -1/8 (/.f64 (pow.f64 B 4) (pow.f64 (-.f64 A C) 3)))))) C)
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B
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) B)
(+.f64 B (*.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (-.f64 A C) 4) (pow.f64 B 3))) B))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (+.f64 B (.f64 -1/8 (/.f64 (pow.f64 (-.f64 A C) 4) (pow.f64 B 3)))))
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(+.f64 (.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (+.f64 (+.f64 B (.f64 -1/8 (/.f64 (pow.f64 (-.f64 A C) 4) (pow.f64 B 3)))) (*.f64 1/16 (/.f64 (pow.f64 (-.f64 A C) 6) (pow.f64 B 5)))))
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(*.f64 -1 B)
(neg.f64 B)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (.f64 -1 B))
(+.f64 (neg.f64 B) (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)))
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(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (-.f64 A C) 4) (pow.f64 B 3))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 (-.f64 A C) 6) (pow.f64 B 5))) (.f64 -1 B))))
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(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (+.f64 (+.f64 (neg.f64 B) (.f64 (/.f64 (pow.f64 (-.f64 A C) 4) (pow.f64 B 3)) 1/8)) (*.f64 (/.f64 (pow.f64 (-.f64 A C) 6) (pow.f64 B 5)) -1/16)))
(*.f64 -1 (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))
(neg.f64 (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))
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(+.f64 (.f64 C (-.f64 1 (.f64 -1 (.f64 A (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))))) (+.f64 (.f64 -1/2 (.f64 (.f64 A (.f64 (pow.f64 C 3) (-.f64 1 (pow.f64 (.f64 -1 (.f64 A (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))) 2)))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) 3))))) (+.f64 (.f64 -1/2 (.f64 (.f64 (-.f64 1 (pow.f64 (.f64 -1 (.f64 A (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))) 2)) (pow.f64 C 2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))) (*.f64 -1 (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))))))
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B
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-1
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1
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(/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 (-.f64 A C) 2)))) B)
(/.f64 (neg.f64 (.f64 (+.f64 (-.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) -4)) (neg.f64 (.f64 B 4)))
(/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 (-.f64 A C) 2)))) B)
(/.f64 (neg.f64 (.f64 2 (+.f64 (-.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))))) (-.f64 0 (.f64 B -2)))
(/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 (-.f64 A C) 2)))) B)
(/.f64 (neg.f64 (neg.f64 (*.f64 2 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))) (+.f64 B B))
(/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 (-.f64 A C) 2)))) B)
(/.f64 (neg.f64 (neg.f64 (*.f64 2 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))) (-.f64 0 (neg.f64 (+.f64 B B))))
(/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 (-.f64 A C) 2)))) B)
(+.f64 (pow.f64 (-.f64 A C) 2) 0)
(pow.f64 (-.f64 A C) 2)
(+.f64 0 (pow.f64 (-.f64 A C) 2))
(pow.f64 (-.f64 A C) 2)
(-.f64 (pow.f64 (-.f64 A C) 2) 0)
(pow.f64 (-.f64 A C) 2)
(.f64 2 (.f64 (pow.f64 (-.f64 A C) 2) 1/2))
(pow.f64 (-.f64 A C) 2)
(*.f64 (pow.f64 (-.f64 A C) 2) 1)
(pow.f64 (-.f64 A C) 2)
(*.f64 1 (pow.f64 (-.f64 A C) 2))
(pow.f64 (-.f64 A C) 2)
(.f64 (.f64 2 (pow.f64 (-.f64 A C) 2)) 1/2)
(pow.f64 (-.f64 A C) 2)
(*.f64 4 (/.f64 (pow.f64 (-.f64 A C) 2) 4))
(pow.f64 (-.f64 A C) 2)
(.f64 (.f64 (pow.f64 (-.f64 A C) 2) 4) 1/4)
(pow.f64 (-.f64 A C) 2)
(.f64 1/2 (.f64 2 (pow.f64 (-.f64 A C) 2)))
(pow.f64 (-.f64 A C) 2)
(.f64 (.f64 (pow.f64 (-.f64 A C) 2) 1/2) 2)
(pow.f64 (-.f64 A C) 2)
(/.f64 (pow.f64 (-.f64 A C) 2) 1)
(pow.f64 (-.f64 A C) 2)
(/.f64 (*.f64 2 (pow.f64 (-.f64 A C) 2)) 2)
(pow.f64 (-.f64 A C) 2)
(/.f64 (*.f64 (pow.f64 (-.f64 A C) 2) 4) 4)
(pow.f64 (-.f64 A C) 2)
(/.f64 (.f64 2 (.f64 (pow.f64 (-.f64 A C) 2) 4)) 8)
(pow.f64 (-.f64 A C) 2)
(/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (-.f64 A C) 2) 4)) (.f64 2 (.f64 (pow.f64 (-.f64 A C) 2) 4))) 16)
(pow.f64 (-.f64 A C) 2)

eval499.0ms (1.9%)

Compiler: Compiled 19066 to 13119 computations (31.2% saved)

prune142.0ms (0.5%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	456	22	478
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	457	22	479

Error

1.8b

Counts

479 → 22

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.8b	(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (PI.f64)))
	32.6b	(*.f64 180 (/.f64 (atan.f64 (-.f64 (/.f64 C B) (+.f64 1 (/.f64 A B)))) (PI.f64)))
	45.8b	(.f64 180 (/.f64 (atan.f64 (+.f64 (+.f64 (.f64 -1/2 (/.f64 B (-.f64 A C))) (.f64 1/8 (/.f64 (pow.f64 B 3) (pow.f64 (-.f64 A C) 3)))) (.f64 2 (-.f64 (/.f64 C B) (/.f64 A B))))) (PI.f64)))
	55.6b	(.f64 180 (/.f64 (atan.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 B (/.f64 C (pow.f64 A 2))) (/.f64 B A))) (.f64 -1/2 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 B 2) 1/2) 2) (.f64 (pow.f64 C 2) (neg.f64 (pow.f64 B 2)))) (pow.f64 A 3)) B)))) (PI.f64)))
	55.9b	(.f64 180 (/.f64 (atan.f64 (+.f64 (.f64 -1/2 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 B 2) 1/2) 2) (.f64 (pow.f64 B 2) (neg.f64 (pow.f64 C 2)))) (pow.f64 A 3)) B)) (.f64 1/2 (+.f64 (/.f64 (/.f64 (.f64 C (+.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (pow.f64 B 2) 1/2) 2) (.f64 (pow.f64 B 2) (neg.f64 (pow.f64 C 2))))) (.f64 -1/2 (pow.f64 B 4)))) (pow.f64 A 4)) B) (+.f64 (.f64 B (/.f64 C (pow.f64 A 2))) (/.f64 B A)))))) (PI.f64)))
	41.4b	(.f64 180 (/.f64 (atan.f64 (+.f64 (.f64 -1/2 (/.f64 B (-.f64 A C))) (*.f64 2 (-.f64 (/.f64 C B) (/.f64 A B))))) (PI.f64)))
	53.0b	(.f64 180 (/.f64 (atan.f64 (+.f64 (neg.f64 (/.f64 (+.f64 A (neg.f64 A)) B)) (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C))))) (PI.f64)))
	53.3b	(.f64 180 (/.f64 (atan.f64 (+.f64 (neg.f64 (/.f64 (+.f64 A (neg.f64 A)) B)) (.f64 -1/2 (+.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)) (.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (/.f64 A (*.f64 B (pow.f64 C 2)))))))) (PI.f64)))
	45.2b	(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 1 B) (-.f64 (-.f64 C A) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) B)))) (PI.f64)))
	32.3b	(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 1 B) (-.f64 (+.f64 C B) A))) (PI.f64)))
	35.6b	(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 1 B) (+.f64 (-.f64 C (-.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))) 1)) (-.f64 -1 A)))) (PI.f64)))
▶	52.7b	(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 1 B) (+.f64 (neg.f64 (+.f64 A (neg.f64 A))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C))))) (PI.f64)))
	53.3b	(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 1 B) (+.f64 (neg.f64 (+.f64 A (neg.f64 A))) (.f64 -1/2 (+.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C) (.f64 A (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (pow.f64 C 2)))))))) (PI.f64)))
	51.3b	(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 1 B) (*.f64 1/2 (/.f64 (pow.f64 B 2) A)))) (PI.f64)))
	48.7b	(.f64 180 (/.f64 (atan.f64 (.f64 2 (/.f64 C B))) (PI.f64)))
	49.1b	(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (/.f64 B A))) (PI.f64)))
▶	45.4b	(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (+.f64 (*.f64 B (/.f64 C (pow.f64 A 2))) (/.f64 B A)))) (PI.f64)))
	48.3b	(.f64 180 (/.f64 (atan.f64 (.f64 -2 (/.f64 A B))) (PI.f64)))
	34.7b	(*.f64 180 (/.f64 (atan.f64 (neg.f64 (/.f64 (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) B))) (PI.f64)))
▶	55.8b	(*.f64 180 (/.f64 (atan.f64 (neg.f64 (/.f64 (+.f64 A (neg.f64 A)) B))) (PI.f64)))
	49.5b	(*.f64 180 (/.f64 (atan.f64 1) (PI.f64)))
▶	50.2b	(*.f64 180 (/.f64 (atan.f64 -1) (PI.f64)))

Compiler

Compiled 1220 to 940 computations (23% saved)

localize92.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (PI.f64))
	0.0b	(pow.f64 (-.f64 A C) 2)
	0.3b	(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))
	34.5b	(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))

Compiler

Compiled 129 to 69 computations (46.5% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	A	@	inf	(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (PI.f64))
1.0ms	C	@	-inf	(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (PI.f64))
1.0ms	A	@	-inf	(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (PI.f64))
1.0ms	C	@	0	(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (PI.f64))
0.0ms	B	@	-inf	(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (PI.f64))

rewrite99.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1130×	`rational.json-simplify-35`
982×	`bool.json-1`
982×	`bool.json-2`
958×	`rational.json-1`
958×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	59
1	185	59
2	496	59
3	1142	59
4	2871	59
5	7580	59

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

Inputs
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (PI.f64))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (.f64 2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 1/2 (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B))) (/.f64 1/2 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B))) (.f64 (/.f64 1 (PI.f64)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (/.f64 2 (PI.f64))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) 4) (/.f64 1 (.f64 (PI.f64) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B))) (/.f64 -1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (PI.f64)) (.f64 2 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (/.f64 2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 (PI.f64)) 1/2) (.f64 2 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (neg.f64 (PI.f64))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (.f64 2 (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (PI.f64) 4)) (.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (PI.f64)) (neg.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 (PI.f64)) (/.f64 1/2 (PI.f64))) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (PI.f64)) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (PI.f64)) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (PI.f64)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (*.f64 2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B))) (/.f64 1/2 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B))) (*.f64 (/.f64 1 (PI.f64)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (/.f64 2 (PI.f64))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) 4) (/.f64 1 (*.f64 (PI.f64) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B))) (/.f64 -1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (PI.f64)) (*.f64 2 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (/.f64 2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (PI.f64)) 1/2) (*.f64 2 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (neg.f64 (PI.f64))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (*.f64 2 (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (PI.f64) 4)) (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (PI.f64)) (neg.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 (PI.f64)) (/.f64 1/2 (PI.f64))) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (PI.f64)) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (PI.f64)) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (PI.f64)))))))

simplify165.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1862×	`rational.json-simplify-35`
866×	`rational.json-simplify-2`
834×	`rational.json-simplify-53`
726×	`rational.json-simplify-1`
614×	`rational.json-simplify-50`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	98	3676
1	183	3636
2	311	3636
3	575	3636
4	1246	3636
5	3291	3636
6	5254	3636
7	7268	3636

Stop Event

1×	node limit

Counts

60 → 37

Calls

Call 1

Inputs
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 (-.f64 A C) 2))))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 (-.f64 A C) 2))))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 (-.f64 A C) 2))))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 (-.f64 A C) 2))))) B)) (PI.f64))
(/.f64 (atan.f64 (.f64 -1 (/.f64 (+.f64 A (+.f64 (.f64 -1 C) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 (+.f64 A (*.f64 -1 C)) 2))))) B))) (PI.f64))
(/.f64 (atan.f64 (.f64 -1 (/.f64 (+.f64 A (+.f64 (.f64 -1 C) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 (+.f64 A (*.f64 -1 C)) 2))))) B))) (PI.f64))
(/.f64 (atan.f64 (.f64 -1 (/.f64 (+.f64 A (+.f64 (.f64 -1 C) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 (+.f64 A (*.f64 -1 C)) 2))))) B))) (PI.f64))
(/.f64 (atan.f64 (.f64 -1 (/.f64 (+.f64 A (+.f64 (.f64 -1 C) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 (+.f64 A (*.f64 -1 C)) 2))))) B))) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 (-.f64 A C) 2))))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 (-.f64 A C) 2))))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 (-.f64 A C) 2))))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 (-.f64 A C) 2))))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 (+.f64 C (.f64 -1 A)) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 (neg.f64 (+.f64 C (.f64 -1 A))) 2)))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 (+.f64 C (.f64 -1 A)) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 (neg.f64 (+.f64 C (.f64 -1 A))) 2)))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 (+.f64 C (.f64 -1 A)) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 (neg.f64 (+.f64 C (.f64 -1 A))) 2)))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 (+.f64 C (.f64 -1 A)) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 (neg.f64 (+.f64 C (.f64 -1 A))) 2)))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))) B)) (PI.f64))
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(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))) B)) (PI.f64))
(+.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (PI.f64)) 0)
(+.f64 0 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (PI.f64)))
(-.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (PI.f64)) 0)
(.f64 2 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (.f64 2 (PI.f64))))
(.f64 2 (.f64 (/.f64 1/2 (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B))))
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (PI.f64)) 1)
(*.f64 1 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (PI.f64)))
(.f64 (.f64 2 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B))) (/.f64 1/2 (PI.f64)))
(.f64 (.f64 2 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B))) (*.f64 (/.f64 1 (PI.f64)) 1/2))
(.f64 (.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (/.f64 2 (PI.f64))) 1/2)
(.f64 (.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) 4) (/.f64 1 (*.f64 (PI.f64) 4)))
(*.f64 (/.f64 1 (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)))
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(.f64 1/2 (.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (/.f64 2 (PI.f64))))
(.f64 (.f64 (/.f64 1 (PI.f64)) 1/2) (*.f64 2 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B))))
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(.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (.f64 2 (PI.f64))) 2)
(.f64 (/.f64 1 (.f64 (PI.f64) 4)) (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) 4))
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(*.f64 (+.f64 (/.f64 1/2 (PI.f64)) (/.f64 1/2 (PI.f64))) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)))
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Outputs
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(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (PI.f64)) 1)
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (PI.f64))
(*.f64 1 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (PI.f64)))
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (PI.f64))
(.f64 (.f64 2 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B))) (/.f64 1/2 (PI.f64)))
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (PI.f64))
(.f64 (.f64 2 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B))) (*.f64 (/.f64 1 (PI.f64)) 1/2))
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (PI.f64))
(.f64 (.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (/.f64 2 (PI.f64))) 1/2)
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (PI.f64))
(.f64 (.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) 4) (/.f64 1 (*.f64 (PI.f64) 4)))
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (PI.f64))
(*.f64 (/.f64 1 (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)))
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (PI.f64))
(*.f64 (neg.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B))) (/.f64 -1 (PI.f64)))
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (PI.f64))
(*.f64 -1 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (neg.f64 (PI.f64))))
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (PI.f64))
(.f64 (/.f64 1/2 (PI.f64)) (.f64 2 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B))))
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (PI.f64))
(.f64 1/2 (.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (/.f64 2 (PI.f64))))
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (PI.f64))
(.f64 (.f64 (/.f64 1 (PI.f64)) 1/2) (*.f64 2 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B))))
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (PI.f64))
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (neg.f64 (PI.f64))) -1)
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (PI.f64))
(.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (.f64 2 (PI.f64))) 2)
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (PI.f64))
(.f64 (/.f64 1 (.f64 (PI.f64) 4)) (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) 4))
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (PI.f64))
(*.f64 (/.f64 -1 (PI.f64)) (neg.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B))))
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (PI.f64))
(*.f64 (+.f64 (/.f64 1/2 (PI.f64)) (/.f64 1/2 (PI.f64))) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)))
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (PI.f64))
(neg.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (neg.f64 (PI.f64))))
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (PI.f64))

localize9.0ms (0%)

Compiler: Compiled 18 to 16 computations (11.1% saved)

localize14.0ms (0.1%)

Compiler: Compiled 56 to 13 computations (76.8% saved)

localize36.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (+.f64 (*.f64 B (/.f64 C (pow.f64 A 2))) (/.f64 B A)))) (PI.f64)))
✓	4.1b	(+.f64 (*.f64 B (/.f64 C (pow.f64 A 2))) (/.f64 B A))
✓	6.6b	(/.f64 C (pow.f64 A 2))
✓	6.7b	(*.f64 B (/.f64 C (pow.f64 A 2)))

Compiler

Compiled 100 to 57 computations (43% saved)

series16.0ms (0.1%)

Counts

4 → 108

Calls

33 calls:

Time	Variable		Point	Expression
2.0ms	A	@	0	(*.f64 B (/.f64 C (pow.f64 A 2)))
1.0ms	C	@	inf	(*.f64 B (/.f64 C (pow.f64 A 2)))
1.0ms	B	@	0	(*.f64 B (/.f64 C (pow.f64 A 2)))
1.0ms	B	@	-inf	(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (+.f64 (*.f64 B (/.f64 C (pow.f64 A 2))) (/.f64 B A)))) (PI.f64)))
1.0ms	A	@	-inf	(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (+.f64 (*.f64 B (/.f64 C (pow.f64 A 2))) (/.f64 B A)))) (PI.f64)))

rewrite75.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1454×	`rational.json-simplify-35`
1178×	`bool.json-1`
1178×	`bool.json-2`
1148×	`rational.json-1`
1148×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	118
1	198	118
2	524	118
3	1222	118
4	3326	118

Stop Event

1×	node limit

Counts

4 → 90

Calls

Call 1

Inputs
(*.f64 B (/.f64 C (pow.f64 A 2)))
(/.f64 C (pow.f64 A 2))
(+.f64 (*.f64 B (/.f64 C (pow.f64 A 2))) (/.f64 B A))
(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (+.f64 (*.f64 B (/.f64 C (pow.f64 A 2))) (/.f64 B A)))) (PI.f64)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 B (/.f64 C (pow.f64 A 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 B (/.f64 C (pow.f64 A 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 B (/.f64 C (pow.f64 A 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 B (/.f64 (pow.f64 A 2) C))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 C (/.f64 (pow.f64 A 2) B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (.f64 2 (/.f64 (pow.f64 A 2) C)) B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (+.f64 (/.f64 (/.f64 (pow.f64 A 2) C) B) (/.f64 (/.f64 (pow.f64 A 2) C) B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 B (/.f64 C (pow.f64 A 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (pow.f64 A 2) C) B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 B B) (.f64 2 (/.f64 (pow.f64 A 2) C)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 C C) (/.f64 (.f64 2 (pow.f64 A 2)) B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 C C) (+.f64 (/.f64 (pow.f64 A 2) B) (/.f64 (pow.f64 A 2) B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 B (.f64 C (/.f64 2 (pow.f64 A 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 C (/.f64 2 (pow.f64 A 2))) (/.f64 2 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 C (/.f64 2 (pow.f64 A 2))) (+.f64 (/.f64 1 B) (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 C 4) (+.f64 (/.f64 (.f64 2 (pow.f64 A 2)) B) (/.f64 (.f64 2 (pow.f64 A 2)) B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 B 4) (.f64 2 (.f64 2 (/.f64 (pow.f64 A 2) C))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 B 4) (.f64 (/.f64 (pow.f64 A 2) C) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 C) (/.f64 (pow.f64 A 2) (neg.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 B) (neg.f64 (/.f64 (pow.f64 A 2) C)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (+.f64 (/.f64 (.f64 2 (/.f64 (pow.f64 A 2) C)) B) (/.f64 (.f64 2 (/.f64 (pow.f64 A 2) C)) B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 C (pow.f64 A 2)) 4) (+.f64 (/.f64 2 B) (/.f64 2 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 B (.f64 (/.f64 C (pow.f64 A 2)) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 B 4)) (+.f64 (.f64 (/.f64 (pow.f64 A 2) C) 4) (.f64 (/.f64 (pow.f64 A 2) C) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 B (pow.f64 A 2)) (/.f64 1 C))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 C -2) (+.f64 (/.f64 (pow.f64 A 2) (neg.f64 B)) (/.f64 (pow.f64 A 2) (neg.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 B -2) (+.f64 (neg.f64 (/.f64 (pow.f64 A 2) C)) (neg.f64 (/.f64 (pow.f64 A 2) C))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 B -2) (-.f64 0 (.f64 2 (/.f64 (pow.f64 A 2) C))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 B (.f64 (/.f64 C (pow.f64 A 2)) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 B 4) (/.f64 (pow.f64 A 2) C)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 C (pow.f64 A 2))) (-.f64 0 (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 B (pow.f64 A 2)) (/.f64 B (pow.f64 A 2))) (+.f64 (/.f64 1 C) (/.f64 1 C)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 B (.f64 (/.f64 C (pow.f64 A 2)) 4))) (.f64 2 (.f64 B (.f64 (/.f64 C (pow.f64 A 2)) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (.f64 B 4) (/.f64 (pow.f64 A 2) C)) (/.f64 (.f64 B 4) (/.f64 (pow.f64 A 2) C))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 B (pow.f64 A 2))) (-.f64 0 (/.f64 1 C)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 B (/.f64 C (pow.f64 A 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 B (/.f64 C (pow.f64 A 2))) (.f64 B (/.f64 C (pow.f64 A 2))))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 B (/.f64 C (pow.f64 A 2))) (*.f64 B (/.f64 C (pow.f64 A 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 C (pow.f64 A 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 C (pow.f64 A 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 C (pow.f64 A 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 C (/.f64 1 (pow.f64 A 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 C (.f64 2 (pow.f64 A 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (/.f64 C (pow.f64 A 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 1/2 (pow.f64 A 2)) C))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 C (pow.f64 A 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 C (/.f64 2 (pow.f64 A 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 C (pow.f64 A 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 C C) (/.f64 1/2 (pow.f64 A 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 C C) (.f64 1/2 (/.f64 1 (pow.f64 A 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 C (/.f64 2 (pow.f64 A 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 C 4) (/.f64 1 (.f64 (pow.f64 A 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 A 2)) C)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 C) (/.f64 -1 (pow.f64 A 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 C (neg.f64 (pow.f64 A 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (pow.f64 A 2)) (+.f64 C C))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (/.f64 1 (pow.f64 A 2))) (+.f64 C C))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 C (neg.f64 (pow.f64 A 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 C (.f64 2 (pow.f64 A 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 C (pow.f64 A 2)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (pow.f64 A 2) 4)) (.f64 C 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (pow.f64 A 2)) (neg.f64 C))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 (pow.f64 A 2)) (/.f64 1/2 (pow.f64 A 2))) C)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 C (neg.f64 (pow.f64 A 2))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 C (pow.f64 A 2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 C (pow.f64 A 2)) (/.f64 C (pow.f64 A 2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 C (pow.f64 A 2)) (/.f64 C (pow.f64 A 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 B (/.f64 C (pow.f64 A 2))) (/.f64 B A)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 B (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)) (/.f64 B 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 B (/.f64 C (pow.f64 A 2))) (/.f64 B A)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)) (+.f64 B B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (.f64 B (/.f64 2 A)) (.f64 B (.f64 C (/.f64 2 (pow.f64 A 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (.f64 B (.f64 C (/.f64 2 (pow.f64 A 2)))) (.f64 B (/.f64 2 A))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)) (/.f64 B 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 B (/.f64 C (pow.f64 A 2))) (/.f64 B A)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 B B) (+.f64 (/.f64 1/2 A) (.f64 (/.f64 C (pow.f64 A 2)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 B B) (+.f64 (/.f64 1/2 A) (/.f64 (/.f64 C (pow.f64 A 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)) (+.f64 B B)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)) B)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 B (/.f64 C (pow.f64 A 2))) (/.f64 B A)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)) (+.f64 B B)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 B (/.f64 C (pow.f64 A 2))) (/.f64 B A)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (.f64 B (/.f64 C (pow.f64 A 2))) (/.f64 B A)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (/.f64 (pow.f64 A 2) C) B) (/.f64 A B)) (.f64 (/.f64 (/.f64 (pow.f64 A 2) C) B) (/.f64 A B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 A B) (/.f64 (/.f64 (pow.f64 A 2) C) B)) (.f64 (/.f64 A B) (/.f64 (/.f64 (pow.f64 A 2) C) B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 B (/.f64 C (pow.f64 A 2))) (/.f64 B A)) 4)) (.f64 2 (.f64 (+.f64 (.f64 B (/.f64 C (pow.f64 A 2))) (/.f64 B A)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (.f64 B (/.f64 C (pow.f64 A 2))) (/.f64 B A))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (.f64 B (/.f64 C (pow.f64 A 2))) (/.f64 B A)) (+.f64 (.f64 B (/.f64 C (pow.f64 A 2))) (/.f64 B A)))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (.f64 B (/.f64 C (pow.f64 A 2))) (/.f64 B A)) (+.f64 (.f64 B (/.f64 C (pow.f64 A 2))) (/.f64 B A)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 180 (/.f64 (atan.f64 (.f64 (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)) (/.f64 B 2))) (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 180 (/.f64 (atan.f64 (.f64 (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)) (/.f64 B 2))) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 180 (/.f64 (atan.f64 (.f64 (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)) (/.f64 B 2))) (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 180 (/.f64 (atan.f64 (.f64 (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)) (/.f64 B 2))) (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (atan.f64 (.f64 (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)) (/.f64 B 2))) (PI.f64)) 360) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (atan.f64 (.f64 (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)) (/.f64 B 2))) (PI.f64)) 720) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (/.f64 (atan.f64 (.f64 (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)) (/.f64 B 2))) (PI.f64)) 720)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (/.f64 (atan.f64 (.f64 (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)) (/.f64 B 2))) (PI.f64)) 720)) (.f64 2 (.f64 (/.f64 (atan.f64 (.f64 (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)) (/.f64 B 2))) (PI.f64)) 720))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 180 (/.f64 (atan.f64 (.f64 (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)) (/.f64 B 2))) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 180 (/.f64 (atan.f64 (.f64 (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)) (/.f64 B 2))) (PI.f64))) (.f64 180 (/.f64 (atan.f64 (.f64 (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)) (/.f64 B 2))) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 180 (/.f64 (atan.f64 (.f64 (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)) (/.f64 B 2))) (PI.f64))) (.f64 180 (/.f64 (atan.f64 (*.f64 (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)) (/.f64 B 2))) (PI.f64))))))))

simplify139.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1390×	`rational.json-simplify-2`
1080×	`rational.json-simplify-35`
1076×	`rational.json-simplify-51`
920×	`rational.json-simplify-41`
704×	`rational.json-simplify-50`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	221	5838
1	547	5826
2	1372	5826
3	4264	5826
4	7127	5826

Stop Event

1×	node limit

Counts

198 → 109

Calls

Call 1

Inputs
(/.f64 (*.f64 C B) (pow.f64 A 2))
(/.f64 (*.f64 C B) (pow.f64 A 2))
(/.f64 (*.f64 C B) (pow.f64 A 2))
(/.f64 (*.f64 C B) (pow.f64 A 2))
(/.f64 (*.f64 C B) (pow.f64 A 2))
(/.f64 (*.f64 C B) (pow.f64 A 2))
(/.f64 (*.f64 C B) (pow.f64 A 2))
(/.f64 (*.f64 C B) (pow.f64 A 2))
(/.f64 (*.f64 C B) (pow.f64 A 2))
(/.f64 (*.f64 C B) (pow.f64 A 2))
(/.f64 (*.f64 C B) (pow.f64 A 2))
(/.f64 (*.f64 C B) (pow.f64 A 2))
(/.f64 (*.f64 C B) (pow.f64 A 2))
(/.f64 (*.f64 C B) (pow.f64 A 2))
(/.f64 (*.f64 C B) (pow.f64 A 2))
(/.f64 (*.f64 C B) (pow.f64 A 2))
(/.f64 (*.f64 C B) (pow.f64 A 2))
(/.f64 (*.f64 C B) (pow.f64 A 2))
(/.f64 (*.f64 C B) (pow.f64 A 2))
(/.f64 (*.f64 C B) (pow.f64 A 2))
(/.f64 (*.f64 C B) (pow.f64 A 2))
(/.f64 (*.f64 C B) (pow.f64 A 2))
(/.f64 (*.f64 C B) (pow.f64 A 2))
(/.f64 (*.f64 C B) (pow.f64 A 2))
(/.f64 (*.f64 C B) (pow.f64 A 2))
(/.f64 (*.f64 C B) (pow.f64 A 2))
(/.f64 (*.f64 C B) (pow.f64 A 2))
(/.f64 (*.f64 C B) (pow.f64 A 2))
(/.f64 (*.f64 C B) (pow.f64 A 2))
(/.f64 (*.f64 C B) (pow.f64 A 2))
(/.f64 (*.f64 C B) (pow.f64 A 2))
(/.f64 (*.f64 C B) (pow.f64 A 2))
(/.f64 (*.f64 C B) (pow.f64 A 2))
(/.f64 (*.f64 C B) (pow.f64 A 2))
(/.f64 (*.f64 C B) (pow.f64 A 2))
(/.f64 (*.f64 C B) (pow.f64 A 2))
(*.f64 (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)) B)
(*.f64 (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)) B)
(*.f64 (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)) B)
(*.f64 (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)) B)
(*.f64 (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)) B)
(*.f64 (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)) B)
(*.f64 (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)) B)
(*.f64 (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)) B)
(.f64 -1 (.f64 (-.f64 (*.f64 -1 (/.f64 C (pow.f64 A 2))) (/.f64 1 A)) B))
(.f64 -1 (.f64 (-.f64 (*.f64 -1 (/.f64 C (pow.f64 A 2))) (/.f64 1 A)) B))
(.f64 -1 (.f64 (-.f64 (*.f64 -1 (/.f64 C (pow.f64 A 2))) (/.f64 1 A)) B))
(.f64 -1 (.f64 (-.f64 (*.f64 -1 (/.f64 C (pow.f64 A 2))) (/.f64 1 A)) B))
(/.f64 B A)
(+.f64 (/.f64 (*.f64 C B) (pow.f64 A 2)) (/.f64 B A))
(+.f64 (/.f64 (*.f64 C B) (pow.f64 A 2)) (/.f64 B A))
(+.f64 (/.f64 (*.f64 C B) (pow.f64 A 2)) (/.f64 B A))
(/.f64 (*.f64 C B) (pow.f64 A 2))
(+.f64 (/.f64 (*.f64 C B) (pow.f64 A 2)) (/.f64 B A))
(+.f64 (/.f64 (*.f64 C B) (pow.f64 A 2)) (/.f64 B A))
(+.f64 (/.f64 (*.f64 C B) (pow.f64 A 2)) (/.f64 B A))
(/.f64 (*.f64 C B) (pow.f64 A 2))
(+.f64 (/.f64 (*.f64 C B) (pow.f64 A 2)) (/.f64 B A))
(+.f64 (/.f64 (*.f64 C B) (pow.f64 A 2)) (/.f64 B A))
(+.f64 (/.f64 (*.f64 C B) (pow.f64 A 2)) (/.f64 B A))
(/.f64 (*.f64 C B) (pow.f64 A 2))
(+.f64 (/.f64 (*.f64 C B) (pow.f64 A 2)) (/.f64 B A))
(+.f64 (/.f64 (*.f64 C B) (pow.f64 A 2)) (/.f64 B A))
(+.f64 (/.f64 (*.f64 C B) (pow.f64 A 2)) (/.f64 B A))
(/.f64 B A)
(+.f64 (/.f64 (*.f64 C B) (pow.f64 A 2)) (/.f64 B A))
(+.f64 (/.f64 (*.f64 C B) (pow.f64 A 2)) (/.f64 B A))
(+.f64 (/.f64 (*.f64 C B) (pow.f64 A 2)) (/.f64 B A))
(/.f64 B A)
(+.f64 (/.f64 (*.f64 C B) (pow.f64 A 2)) (/.f64 B A))
(+.f64 (/.f64 (*.f64 C B) (pow.f64 A 2)) (/.f64 B A))
(+.f64 (/.f64 (*.f64 C B) (pow.f64 A 2)) (/.f64 B A))
(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (+.f64 (/.f64 (*.f64 C B) (pow.f64 A 2)) (/.f64 B A)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (+.f64 (/.f64 (*.f64 C B) (pow.f64 A 2)) (/.f64 B A)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (+.f64 (/.f64 (*.f64 C B) (pow.f64 A 2)) (/.f64 B A)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (+.f64 (/.f64 (*.f64 C B) (pow.f64 A 2)) (/.f64 B A)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (+.f64 (/.f64 (*.f64 C B) (pow.f64 A 2)) (/.f64 B A)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (+.f64 (/.f64 (*.f64 C B) (pow.f64 A 2)) (/.f64 B A)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (+.f64 (/.f64 (*.f64 C B) (pow.f64 A 2)) (/.f64 B A)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (+.f64 (/.f64 (*.f64 C B) (pow.f64 A 2)) (/.f64 B A)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (-.f64 (/.f64 (.f64 C B) (pow.f64 A 2)) (.f64 -1 (/.f64 B A))))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (-.f64 (/.f64 (.f64 C B) (pow.f64 A 2)) (.f64 -1 (/.f64 B A))))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (-.f64 (/.f64 (.f64 C B) (pow.f64 A 2)) (.f64 -1 (/.f64 B A))))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (-.f64 (/.f64 (.f64 C B) (pow.f64 A 2)) (.f64 -1 (/.f64 B A))))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (+.f64 (/.f64 (*.f64 C B) (pow.f64 A 2)) (/.f64 B A)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (+.f64 (/.f64 (*.f64 C B) (pow.f64 A 2)) (/.f64 B A)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (+.f64 (/.f64 (*.f64 C B) (pow.f64 A 2)) (/.f64 B A)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (+.f64 (/.f64 (*.f64 C B) (pow.f64 A 2)) (/.f64 B A)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (+.f64 (/.f64 (*.f64 C B) (pow.f64 A 2)) (/.f64 B A)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (+.f64 (/.f64 (*.f64 C B) (pow.f64 A 2)) (/.f64 B A)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (+.f64 (/.f64 (*.f64 C B) (pow.f64 A 2)) (/.f64 B A)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (+.f64 (/.f64 (*.f64 C B) (pow.f64 A 2)) (/.f64 B A)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (+.f64 (/.f64 (*.f64 C B) (pow.f64 A 2)) (/.f64 B A)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (+.f64 (/.f64 (*.f64 C B) (pow.f64 A 2)) (/.f64 B A)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (+.f64 (/.f64 (*.f64 C B) (pow.f64 A 2)) (/.f64 B A)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (+.f64 (/.f64 (*.f64 C B) (pow.f64 A 2)) (/.f64 B A)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (+.f64 (/.f64 (*.f64 C B) (pow.f64 A 2)) (/.f64 B A)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (+.f64 (/.f64 (*.f64 C B) (pow.f64 A 2)) (/.f64 B A)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (+.f64 (/.f64 (*.f64 C B) (pow.f64 A 2)) (/.f64 B A)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (+.f64 (/.f64 (*.f64 C B) (pow.f64 A 2)) (/.f64 B A)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (+.f64 (/.f64 (*.f64 C B) (pow.f64 A 2)) (/.f64 B A)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (+.f64 (/.f64 (*.f64 C B) (pow.f64 A 2)) (/.f64 B A)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (+.f64 (/.f64 (*.f64 C B) (pow.f64 A 2)) (/.f64 B A)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (+.f64 (/.f64 (*.f64 C B) (pow.f64 A 2)) (/.f64 B A)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (+.f64 (/.f64 (*.f64 C B) (pow.f64 A 2)) (/.f64 B A)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (+.f64 (/.f64 (*.f64 C B) (pow.f64 A 2)) (/.f64 B A)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (+.f64 (/.f64 (*.f64 C B) (pow.f64 A 2)) (/.f64 B A)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (+.f64 (/.f64 (*.f64 C B) (pow.f64 A 2)) (/.f64 B A)))) (PI.f64)))
(+.f64 (*.f64 B (/.f64 C (pow.f64 A 2))) 0)
(+.f64 0 (*.f64 B (/.f64 C (pow.f64 A 2))))
(-.f64 (*.f64 B (/.f64 C (pow.f64 A 2))) 0)
(/.f64 B (/.f64 (pow.f64 A 2) C))
(/.f64 C (/.f64 (pow.f64 A 2) B))
(/.f64 2 (/.f64 (*.f64 2 (/.f64 (pow.f64 A 2) C)) B))
(/.f64 2 (+.f64 (/.f64 (/.f64 (pow.f64 A 2) C) B) (/.f64 (/.f64 (pow.f64 A 2) C) B)))
(/.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 B))
(/.f64 (*.f64 B (/.f64 C (pow.f64 A 2))) 1)
(/.f64 1 (/.f64 (/.f64 (pow.f64 A 2) C) B))
(/.f64 (+.f64 B B) (*.f64 2 (/.f64 (pow.f64 A 2) C)))
(/.f64 (+.f64 C C) (/.f64 (*.f64 2 (pow.f64 A 2)) B))
(/.f64 (+.f64 C C) (+.f64 (/.f64 (pow.f64 A 2) B) (/.f64 (pow.f64 A 2) B)))
(/.f64 (.f64 B (.f64 C (/.f64 2 (pow.f64 A 2)))) 2)
(/.f64 (*.f64 C (/.f64 2 (pow.f64 A 2))) (/.f64 2 B))
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Outputs
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(/.f64 (neg.f64 (/.f64 B (pow.f64 A 2))) (-.f64 0 (/.f64 1 C)))
(/.f64 (*.f64 C B) (pow.f64 A 2))
(*.f64 C (/.f64 B (pow.f64 A 2)))
(+.f64 (/.f64 C (pow.f64 A 2)) 0)
(/.f64 C (pow.f64 A 2))
(+.f64 0 (/.f64 C (pow.f64 A 2)))
(/.f64 C (pow.f64 A 2))
(-.f64 (/.f64 C (pow.f64 A 2)) 0)
(/.f64 C (pow.f64 A 2))
(*.f64 C (/.f64 1 (pow.f64 A 2)))
(/.f64 C (pow.f64 A 2))
(.f64 2 (/.f64 C (.f64 2 (pow.f64 A 2))))
(/.f64 C (pow.f64 A 2))
(*.f64 2 (/.f64 (/.f64 C (pow.f64 A 2)) 2))
(/.f64 C (pow.f64 A 2))
(.f64 2 (.f64 (/.f64 1/2 (pow.f64 A 2)) C))
(/.f64 C (pow.f64 A 2))
(*.f64 (/.f64 C (pow.f64 A 2)) 1)
(/.f64 C (pow.f64 A 2))
(.f64 1/2 (.f64 C (/.f64 2 (pow.f64 A 2))))
(/.f64 C (pow.f64 A 2))
(*.f64 1 (/.f64 C (pow.f64 A 2)))
(/.f64 C (pow.f64 A 2))
(*.f64 (+.f64 C C) (/.f64 1/2 (pow.f64 A 2)))
(/.f64 C (pow.f64 A 2))
(.f64 (+.f64 C C) (.f64 1/2 (/.f64 1 (pow.f64 A 2))))
(/.f64 C (pow.f64 A 2))
(.f64 (.f64 C (/.f64 2 (pow.f64 A 2))) 1/2)
(/.f64 C (pow.f64 A 2))
(.f64 (.f64 C 4) (/.f64 1 (*.f64 (pow.f64 A 2) 4)))
(/.f64 C (pow.f64 A 2))
(*.f64 (/.f64 1 (pow.f64 A 2)) C)
(/.f64 C (pow.f64 A 2))
(*.f64 (neg.f64 C) (/.f64 -1 (pow.f64 A 2)))
(/.f64 C (pow.f64 A 2))
(*.f64 -1 (/.f64 C (neg.f64 (pow.f64 A 2))))
(/.f64 C (pow.f64 A 2))
(*.f64 (/.f64 1/2 (pow.f64 A 2)) (+.f64 C C))
(/.f64 C (pow.f64 A 2))
(.f64 (.f64 1/2 (/.f64 1 (pow.f64 A 2))) (+.f64 C C))
(/.f64 C (pow.f64 A 2))
(*.f64 (/.f64 C (neg.f64 (pow.f64 A 2))) -1)
(/.f64 C (pow.f64 A 2))
(.f64 (/.f64 C (.f64 2 (pow.f64 A 2))) 2)
(/.f64 C (pow.f64 A 2))
(*.f64 (/.f64 (/.f64 C (pow.f64 A 2)) 2) 2)
(/.f64 C (pow.f64 A 2))
(.f64 (/.f64 1 (.f64 (pow.f64 A 2) 4)) (*.f64 C 4))
(/.f64 C (pow.f64 A 2))
(*.f64 (/.f64 -1 (pow.f64 A 2)) (neg.f64 C))
(/.f64 C (pow.f64 A 2))
(*.f64 (+.f64 (/.f64 1/2 (pow.f64 A 2)) (/.f64 1/2 (pow.f64 A 2))) C)
(*.f64 C (+.f64 (/.f64 1/2 (pow.f64 A 2)) (/.f64 1/2 (pow.f64 A 2))))
(neg.f64 (/.f64 C (neg.f64 (pow.f64 A 2))))
(/.f64 C (pow.f64 A 2))
(-.f64 (+.f64 (*.f64 B (/.f64 C (pow.f64 A 2))) (/.f64 B A)) 0)
(+.f64 (/.f64 B A) (/.f64 (*.f64 C B) (pow.f64 A 2)))
(+.f64 (/.f64 B A) (*.f64 C (/.f64 B (pow.f64 A 2))))
(*.f64 B (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)))
(.f64 2 (.f64 (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)) (/.f64 B 2)))
(*.f64 B (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)))
(.f64 (+.f64 (.f64 B (/.f64 C (pow.f64 A 2))) (/.f64 B A)) 1)
(+.f64 (/.f64 B A) (/.f64 (*.f64 C B) (pow.f64 A 2)))
(+.f64 (/.f64 B A) (*.f64 C (/.f64 B (pow.f64 A 2))))
(.f64 1/2 (.f64 (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)) (+.f64 B B)))
(*.f64 B (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)))
(.f64 1/2 (+.f64 (.f64 B (/.f64 2 A)) (.f64 B (.f64 C (/.f64 2 (pow.f64 A 2))))))
(.f64 1/2 (+.f64 (.f64 B (.f64 C (/.f64 2 (pow.f64 A 2)))) (.f64 B (/.f64 2 A))))
(.f64 1/2 (.f64 B (+.f64 (/.f64 2 A) (*.f64 C (/.f64 2 (pow.f64 A 2))))))
(.f64 B (.f64 (+.f64 (*.f64 C (/.f64 2 (pow.f64 A 2))) (/.f64 2 A)) 1/2))
(.f64 B (.f64 1/2 (+.f64 (/.f64 2 A) (*.f64 C (/.f64 2 (pow.f64 A 2))))))
(.f64 1/2 (+.f64 (.f64 B (.f64 C (/.f64 2 (pow.f64 A 2)))) (.f64 B (/.f64 2 A))))
(.f64 1/2 (.f64 B (+.f64 (/.f64 2 A) (*.f64 C (/.f64 2 (pow.f64 A 2))))))
(.f64 B (.f64 (+.f64 (*.f64 C (/.f64 2 (pow.f64 A 2))) (/.f64 2 A)) 1/2))
(.f64 B (.f64 1/2 (+.f64 (/.f64 2 A) (*.f64 C (/.f64 2 (pow.f64 A 2))))))
(.f64 (.f64 (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)) (/.f64 B 2)) 2)
(*.f64 B (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)))
(.f64 1 (+.f64 (.f64 B (/.f64 C (pow.f64 A 2))) (/.f64 B A)))
(+.f64 (/.f64 B A) (/.f64 (*.f64 C B) (pow.f64 A 2)))
(+.f64 (/.f64 B A) (*.f64 C (/.f64 B (pow.f64 A 2))))
(.f64 (+.f64 B B) (+.f64 (/.f64 1/2 A) (.f64 (/.f64 C (pow.f64 A 2)) 1/2)))
(.f64 (+.f64 B B) (+.f64 (.f64 (/.f64 C (pow.f64 A 2)) 1/2) (/.f64 1/2 A)))
(.f64 (+.f64 B B) (+.f64 (.f64 C (/.f64 1/2 (pow.f64 A 2))) (/.f64 1/2 A)))
(*.f64 (+.f64 B B) (+.f64 (/.f64 1/2 A) (/.f64 (/.f64 C (pow.f64 A 2)) 2)))
(.f64 (+.f64 B B) (+.f64 (/.f64 1/2 A) (.f64 (/.f64 C (pow.f64 A 2)) 1/2)))
(.f64 (+.f64 B B) (+.f64 (.f64 (/.f64 C (pow.f64 A 2)) 1/2) (/.f64 1/2 A)))
(.f64 (+.f64 B B) (+.f64 (.f64 C (/.f64 1/2 (pow.f64 A 2))) (/.f64 1/2 A)))
(.f64 (.f64 (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)) (+.f64 B B)) 1/2)
(*.f64 B (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)))
(*.f64 (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)) B)
(*.f64 B (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)))
(/.f64 (+.f64 (*.f64 B (/.f64 C (pow.f64 A 2))) (/.f64 B A)) 1)
(+.f64 (/.f64 B A) (/.f64 (*.f64 C B) (pow.f64 A 2)))
(+.f64 (/.f64 B A) (*.f64 C (/.f64 B (pow.f64 A 2))))
(/.f64 (*.f64 (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)) (+.f64 B B)) 2)
(*.f64 B (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)))
(/.f64 (.f64 (+.f64 (.f64 B (/.f64 C (pow.f64 A 2))) (/.f64 B A)) 4) 4)
(+.f64 (/.f64 B A) (/.f64 (*.f64 C B) (pow.f64 A 2)))
(+.f64 (/.f64 B A) (*.f64 C (/.f64 B (pow.f64 A 2))))
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 B (/.f64 C (pow.f64 A 2))) (/.f64 B A)) 4)) 8)
(+.f64 (/.f64 B A) (/.f64 (*.f64 C B) (pow.f64 A 2)))
(+.f64 (/.f64 B A) (*.f64 C (/.f64 B (pow.f64 A 2))))
(/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 A 2) C) B) (/.f64 A B)) (*.f64 (/.f64 (/.f64 (pow.f64 A 2) C) B) (/.f64 A B)))
(+.f64 (/.f64 B A) (/.f64 (*.f64 C B) (pow.f64 A 2)))
(+.f64 (/.f64 B A) (*.f64 C (/.f64 B (pow.f64 A 2))))
(/.f64 (+.f64 (/.f64 A B) (/.f64 (/.f64 (pow.f64 A 2) C) B)) (*.f64 (/.f64 A B) (/.f64 (/.f64 (pow.f64 A 2) C) B)))
(+.f64 (/.f64 B A) (/.f64 (*.f64 C B) (pow.f64 A 2)))
(+.f64 (/.f64 B A) (*.f64 C (/.f64 B (pow.f64 A 2))))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 B (/.f64 C (pow.f64 A 2))) (/.f64 B A)) 4)) (.f64 2 (.f64 (+.f64 (.f64 B (/.f64 C (pow.f64 A 2))) (/.f64 B A)) 4))) 16)
(+.f64 (/.f64 B A) (/.f64 (*.f64 C B) (pow.f64 A 2)))
(+.f64 (/.f64 B A) (*.f64 C (/.f64 B (pow.f64 A 2))))
(+.f64 (.f64 180 (/.f64 (atan.f64 (.f64 (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)) (/.f64 B 2))) (PI.f64))) 0)
(.f64 180 (/.f64 (atan.f64 (.f64 (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)) (/.f64 B 2))) (PI.f64)))
(+.f64 0 (.f64 180 (/.f64 (atan.f64 (.f64 (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)) (/.f64 B 2))) (PI.f64))))
(.f64 180 (/.f64 (atan.f64 (.f64 (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)) (/.f64 B 2))) (PI.f64)))
(-.f64 (.f64 180 (/.f64 (atan.f64 (.f64 (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)) (/.f64 B 2))) (PI.f64))) 0)
(.f64 180 (/.f64 (atan.f64 (.f64 (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)) (/.f64 B 2))) (PI.f64)))
(/.f64 (.f64 180 (/.f64 (atan.f64 (.f64 (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)) (/.f64 B 2))) (PI.f64))) 1)
(.f64 180 (/.f64 (atan.f64 (.f64 (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)) (/.f64 B 2))) (PI.f64)))
(/.f64 (.f64 (/.f64 (atan.f64 (.f64 (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)) (/.f64 B 2))) (PI.f64)) 360) 2)
(.f64 180 (/.f64 (atan.f64 (.f64 (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)) (/.f64 B 2))) (PI.f64)))
(/.f64 (.f64 (/.f64 (atan.f64 (.f64 (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)) (/.f64 B 2))) (PI.f64)) 720) 4)
(.f64 180 (/.f64 (atan.f64 (.f64 (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)) (/.f64 B 2))) (PI.f64)))
(/.f64 (.f64 2 (.f64 (/.f64 (atan.f64 (*.f64 (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)) (/.f64 B 2))) (PI.f64)) 720)) 8)
(.f64 180 (/.f64 (atan.f64 (.f64 (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)) (/.f64 B 2))) (PI.f64)))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (atan.f64 (.f64 (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)) (/.f64 B 2))) (PI.f64)) 720)) (.f64 2 (.f64 (/.f64 (atan.f64 (.f64 (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)) (/.f64 B 2))) (PI.f64)) 720))) 16)
(.f64 180 (/.f64 (atan.f64 (.f64 (+.f64 (/.f64 C (pow.f64 A 2)) (/.f64 1 A)) (/.f64 B 2))) (PI.f64)))

localize77.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 1 B) (+.f64 (neg.f64 (+.f64 A (neg.f64 A))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C))))) (PI.f64)))
✓	7.5b	(/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)
✓	16.5b	(-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))
✓	16.9b	(.f64 (/.f64 1 B) (+.f64 (neg.f64 (+.f64 A (neg.f64 A))) (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C))))

Compiler

Compiled 220 to 131 computations (40.5% saved)

series69.0ms (0.3%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Point	Expression
51.0ms	A	@	inf	(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 1 B) (+.f64 (neg.f64 (+.f64 A (neg.f64 A))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C))))) (PI.f64)))
2.0ms	A	@	0	(.f64 (/.f64 1 B) (+.f64 (neg.f64 (+.f64 A (neg.f64 A))) (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C))))
1.0ms	B	@	0	(.f64 (/.f64 1 B) (+.f64 (neg.f64 (+.f64 A (neg.f64 A))) (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C))))
1.0ms	B	@	-inf	(.f64 (/.f64 1 B) (+.f64 (neg.f64 (+.f64 A (neg.f64 A))) (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C))))
1.0ms	B	@	inf	(.f64 (/.f64 1 B) (+.f64 (neg.f64 (+.f64 A (neg.f64 A))) (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C))))

rewrite89.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1536×	`rational.json-simplify-35`
1360×	`bool.json-1`
1360×	`bool.json-2`
1320×	`rational.json-1`
1320×	`rational.json-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	240
1	283	220
2	713	188
3	1599	188
4	3957	188

Stop Event

1×	node limit

Counts

4 → 85

Calls

Call 1

Inputs
(.f64 (/.f64 1 B) (+.f64 (neg.f64 (+.f64 A (neg.f64 A))) (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C))))
(-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))
(/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)
(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 1 B) (+.f64 (neg.f64 (+.f64 A (neg.f64 A))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C))))) (PI.f64)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -1/2 (/.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C) B)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 -1/2 (/.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C) B)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 -1/2 (/.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C) B)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 B -1/2) (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (.f64 B (/.f64 4 (neg.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)) B)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1/2 (/.f64 (/.f64 (+.f64 (pow.f64 B 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simplify191.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1428×	`rational.json-simplify-2`
1242×	`rational.json-simplify-44`
1052×	`rational.json-simplify-51`
1000×	`rational.json-simplify-47`
928×	`rational.json-simplify-35`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	200	7353
1	485	7341
2	1260	7341
3	5080	7341
4	7567	7253

Stop Event

1×	node limit

Counts

205 → 98

Calls

Call 1

Inputs
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
0
0
0
0
0
0
0
0
0
0
0
0
(/.f64 (pow.f64 B 2) C)
(/.f64 (pow.f64 B 2) C)
(/.f64 (pow.f64 B 2) C)
(/.f64 (pow.f64 B 2) C)
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(neg.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (neg.f64 C)))
(+.f64 (.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C) B))) (PI.f64))) 0)
(+.f64 0 (.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C) B))) (PI.f64))))
(-.f64 (.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C) B))) (PI.f64))) 0)
(/.f64 (.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C) B))) (PI.f64))) 1)
(/.f64 (.f64 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C) B))) (PI.f64)) 360) 2)
(/.f64 (.f64 (.f64 180 (/.f64 (atan.f64 (*.f64 -1/2 (/.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C) B))) (PI.f64))) 4) 4)
(/.f64 (.f64 2 (.f64 (.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C) B))) (PI.f64))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C) B))) (PI.f64))) 4)) (.f64 2 (.f64 (.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C) B))) (PI.f64))) 4))) 16)

Outputs
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
0
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0
0
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(/.f64 (pow.f64 B 2) C)
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(/.f64 (pow.f64 B 2) C)
(/.f64 (pow.f64 B 2) C)
(/.f64 (pow.f64 B 2) C)
(/.f64 (pow.f64 B 2) C)
(/.f64 (pow.f64 B 2) C)
(/.f64 (pow.f64 B 2) C)
(/.f64 (pow.f64 B 2) C)
(/.f64 (pow.f64 B 2) C)
(/.f64 (pow.f64 B 2) C)
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(/.f64 (pow.f64 B 2) C)
(/.f64 (pow.f64 B 2) C)
(/.f64 (pow.f64 B 2) C)
(/.f64 (pow.f64 B 2) C)
(/.f64 (pow.f64 B 2) C)
(/.f64 (pow.f64 B 2) C)
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(/.f64 (pow.f64 B 2) C)
(/.f64 (pow.f64 B 2) C)
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(.f64 1/2 (.f64 2 (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))))
(+.f64 (pow.f64 A 2) (neg.f64 (pow.f64 (neg.f64 A) 2)))
(-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))
(*.f64 (/.f64 (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2)) 2) 2)
(+.f64 (pow.f64 A 2) (neg.f64 (pow.f64 (neg.f64 A) 2)))
(-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))
(/.f64 (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2)) 1)
(+.f64 (pow.f64 A 2) (neg.f64 (pow.f64 (neg.f64 A) 2)))
(-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))
(/.f64 (*.f64 2 (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) 2)
(+.f64 (pow.f64 A 2) (neg.f64 (pow.f64 (neg.f64 A) 2)))
(-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))
(/.f64 (-.f64 (pow.f64 (neg.f64 A) 2) (pow.f64 A 2)) -1)
(+.f64 (pow.f64 A 2) (neg.f64 (pow.f64 (neg.f64 A) 2)))
(-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))
(/.f64 (*.f64 (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2)) 4) 4)
(+.f64 (pow.f64 A 2) (neg.f64 (pow.f64 (neg.f64 A) 2)))
(-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))
(/.f64 (.f64 2 (.f64 (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2)) 4)) 8)
(+.f64 (pow.f64 A 2) (neg.f64 (pow.f64 (neg.f64 A) 2)))
(-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))
(/.f64 (*.f64 2 (-.f64 (pow.f64 (neg.f64 A) 2) (pow.f64 A 2))) -2)
(+.f64 (pow.f64 A 2) (neg.f64 (pow.f64 (neg.f64 A) 2)))
(-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2)) 4)) (.f64 2 (.f64 (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2)) 4))) 16)
(+.f64 (pow.f64 A 2) (neg.f64 (pow.f64 (neg.f64 A) 2)))
(-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))
(neg.f64 (-.f64 (pow.f64 (neg.f64 A) 2) (pow.f64 A 2)))
(+.f64 (pow.f64 A 2) (neg.f64 (pow.f64 (neg.f64 A) 2)))
(-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))
(+.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C) 0)
(/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)
(+.f64 0 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C))
(/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)
(-.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C) 0)
(/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)
(*.f64 1 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C))
(/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)
(*.f64 2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (+.f64 C C)))
(/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)
(*.f64 2 (/.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C) 2))
(/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)
(*.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (/.f64 1 C))
(/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)
(*.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C) 1)
(/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)
(*.f64 -1 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (neg.f64 C)))
(/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)
(.f64 (.f64 2 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2)))) (/.f64 1/2 C))
(.f64 2 (.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (/.f64 1/2 C)))
(.f64 (.f64 2 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2)))) (*.f64 1/2 (/.f64 1 C)))
(/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)
(.f64 (.f64 2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)) 1/2)
(/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)
(.f64 (.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) 4) (/.f64 1 (*.f64 C 4)))
(.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 4 (/.f64 (/.f64 1 C) 4)))
(.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 4 (/.f64 1/4 C)))
(.f64 1/2 (.f64 2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)))
(/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)
(*.f64 (/.f64 1 C) (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))))
(/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)
(*.f64 (neg.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2)))) (/.f64 1 (neg.f64 C)))
(/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)
(.f64 (/.f64 1/2 C) (.f64 2 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2)))))
(.f64 2 (.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (/.f64 1/2 C)))
(.f64 (.f64 1/2 (/.f64 1 C)) (*.f64 2 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2)))))
(/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)
(*.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (neg.f64 C)) -1)
(/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)
(*.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (+.f64 C C)) 2)
(/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C) 2) 2)
(/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)
(.f64 (/.f64 1 (.f64 C 4)) (*.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) 4))
(.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 4 (/.f64 (/.f64 1 C) 4)))
(.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 4 (/.f64 1/4 C)))
(*.f64 (/.f64 1 (neg.f64 C)) (neg.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2)))))
(/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)
(neg.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (neg.f64 C)))
(/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)
(+.f64 (.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C) B))) (PI.f64))) 0)
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 A 2) (-.f64 (pow.f64 B 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)))) (PI.f64)))
(+.f64 0 (.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C) B))) (PI.f64))))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 A 2) (-.f64 (pow.f64 B 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)))) (PI.f64)))
(-.f64 (.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C) B))) (PI.f64))) 0)
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 A 2) (-.f64 (pow.f64 B 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)))) (PI.f64)))
(/.f64 (.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C) B))) (PI.f64))) 1)
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 A 2) (-.f64 (pow.f64 B 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)))) (PI.f64)))
(/.f64 (.f64 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C) B))) (PI.f64)) 360) 2)
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 A 2) (-.f64 (pow.f64 B 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)))) (PI.f64)))
(/.f64 (.f64 (.f64 180 (/.f64 (atan.f64 (*.f64 -1/2 (/.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C) B))) (PI.f64))) 4) 4)
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 A 2) (-.f64 (pow.f64 B 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)))) (PI.f64)))
(/.f64 (.f64 2 (.f64 (.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C) B))) (PI.f64))) 4)) 8)
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 A 2) (-.f64 (pow.f64 B 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)))) (PI.f64)))
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C) B))) (PI.f64))) 4)) (.f64 2 (.f64 (.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C) B))) (PI.f64))) 4))) 16)
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 A 2) (-.f64 (pow.f64 B 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)))) (PI.f64)))

eval386.0ms (1.4%)

Compiler: Compiled 18290 to 12413 computations (32.1% saved)

prune212.0ms (0.8%)

Pruning

24 alts after pruning (21 fresh and 3 done)

	Pruned	Kept	Total
New	545	14	559
Fresh	10	7	17
Picked	1	0	1
Done	1	3	4
Total	557	24	581

Error

0.4b

Counts

581 → 24

Alt Table

Click to see full alt table

Status	Error	Program
▶	45.2b	(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) B)) B)) (PI.f64)))
✓	29.8b	(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (PI.f64)))
▶	30.8b	(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) B)) (PI.f64)))
	32.3b	(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) B) B)) (PI.f64)))
▶	32.3b	(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (+.f64 C B) A) B)) (PI.f64)))
	53.3b	(.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 (neg.f64 (+.f64 A (neg.f64 A))) (.f64 -1/2 (+.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C) (*.f64 A (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (pow.f64 C 2)))))) B)) (PI.f64)))
	48.3b	(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 A -2) B)) (PI.f64)))
	48.7b	(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 2 C) B)) (PI.f64)))
	51.3b	(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 1/2 (/.f64 (pow.f64 B 2) A)) B)) (PI.f64)))
▶	52.7b	(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)) B)) (PI.f64)))
	34.7b	(*.f64 180 (/.f64 (atan.f64 (/.f64 (neg.f64 (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)))
	45.8b	(.f64 180 (/.f64 (atan.f64 (+.f64 (+.f64 (.f64 -1/2 (/.f64 B (-.f64 A C))) (.f64 1/8 (/.f64 (pow.f64 B 3) (pow.f64 (-.f64 A C) 3)))) (.f64 2 (-.f64 (/.f64 C B) (/.f64 A B))))) (PI.f64)))
	55.6b	(.f64 180 (/.f64 (atan.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 B (/.f64 C (pow.f64 A 2))) (/.f64 B A))) (.f64 -1/2 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 B 2) 1/2) 2) (.f64 (pow.f64 C 2) (neg.f64 (pow.f64 B 2)))) (pow.f64 A 3)) B)))) (PI.f64)))
	55.9b	(.f64 180 (/.f64 (atan.f64 (+.f64 (.f64 -1/2 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 B 2) 1/2) 2) (.f64 (pow.f64 B 2) (neg.f64 (pow.f64 C 2)))) (pow.f64 A 3)) B)) (.f64 1/2 (+.f64 (/.f64 (/.f64 (.f64 C (+.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (pow.f64 B 2) 1/2) 2) (.f64 (pow.f64 B 2) (neg.f64 (pow.f64 C 2))))) (.f64 -1/2 (pow.f64 B 4)))) (pow.f64 A 4)) B) (+.f64 (.f64 B (/.f64 C (pow.f64 A 2))) (/.f64 B A)))))) (PI.f64)))
	41.4b	(.f64 180 (/.f64 (atan.f64 (+.f64 (.f64 -1/2 (/.f64 B (-.f64 A C))) (*.f64 2 (-.f64 (/.f64 C B) (/.f64 A B))))) (PI.f64)))
	53.3b	(.f64 180 (/.f64 (atan.f64 (+.f64 (neg.f64 (/.f64 (+.f64 A (neg.f64 A)) B)) (.f64 -1/2 (+.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)) (.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (/.f64 A (*.f64 B (pow.f64 C 2)))))))) (PI.f64)))
	49.0b	(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 1 B) (+.f64 (neg.f64 (+.f64 A (neg.f64 A))) (*.f64 -1/2 (/.f64 (pow.f64 B 2) C))))) (PI.f64)))
	55.2b	(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 A 2) C) B) (/.f64 A B)) (*.f64 (/.f64 (/.f64 (pow.f64 A 2) C) B) (/.f64 A B))))) (PI.f64)))
	49.1b	(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (/.f64 B A))) (PI.f64)))
✓	45.4b	(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (+.f64 (*.f64 B (/.f64 C (pow.f64 A 2))) (/.f64 B A)))) (PI.f64)))
	53.0b	(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)))) (PI.f64)))
	47.3b	(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 B C))) (PI.f64)))
▶	49.5b	(*.f64 180 (/.f64 (atan.f64 1) (PI.f64)))
✓	50.2b	(*.f64 180 (/.f64 (atan.f64 -1) (PI.f64)))

Compiler

Compiled 1210 to 927 computations (23.4% saved)

localize41.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) B)) (PI.f64)))
✓	0.0b	(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) B)) (PI.f64))
✓	0.4b	(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))
✓	28.5b	(sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))

Compiler

Compiled 110 to 68 computations (38.2% saved)

series12.0ms (0%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Point	Expression
1.0ms	A	@	0	(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) B)) (PI.f64)))
1.0ms	A	@	-inf	(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) B)) (PI.f64))
0.0ms	B	@	-inf	(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) B)) (PI.f64))
0.0ms	C	@	-inf	(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) B)) (PI.f64))
0.0ms	B	@	inf	(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) B)) (PI.f64))

rewrite116.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1144×	`rational.json-simplify-35`
1012×	`bool.json-1`
1012×	`bool.json-2`
982×	`rational.json-1`
982×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	170
1	195	170
2	513	170
3	1178	170
4	2957	170
5	7791	170

Stop Event

1×	node limit

Counts

4 → 83

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))
(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) B)) (PI.f64))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) B)) (PI.f64)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))) 4)) (.f64 2 (.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))))) (#(struct:change #<rule egg-rr> (2) ((x or (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 C (-.f64 (neg.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) A))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 C (-.f64 (neg.f64 A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 C (-.f64 0 (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 C A) (neg.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) (neg.f64 A))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 C (-.f64 (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) (-.f64 C A))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 A) (-.f64 C (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 C (-.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))) 1)) (-.f64 -1 A))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 C (-.f64 A 1)) (-.f64 -1 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) (-.f64 C (-.f64 A 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 C (-.f64 (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 A) (-.f64 C (-.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (-.f64 A C)) (-.f64 1 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (-.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))) C)) (-.f64 1 A))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))) (-.f64 A C)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (+.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))) (-.f64 A C)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))) (-.f64 A C)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (+.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))) (-.f64 A C))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))) (-.f64 A C)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (.f64 2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 1/2 (PI.f64)) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B))) (/.f64 1/2 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B))) (.f64 (/.f64 1 (PI.f64)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (/.f64 2 (PI.f64))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) 4) (/.f64 1 (.f64 (PI.f64) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (PI.f64)) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B))) (/.f64 -1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (/.f64 2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (PI.f64)) (.f64 2 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 (PI.f64)) 1/2) (.f64 2 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (neg.f64 (PI.f64))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (.f64 2 (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (PI.f64) 4)) (.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (PI.f64)) (neg.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 (PI.f64)) (/.f64 1/2 (PI.f64))) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)) (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)) (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)) 180) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)) 180))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)) 180) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)) 180) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)) 360) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)) 720) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)) 720)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)) 720)) (.f64 2 (.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)) 720))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)) 180)))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)) 180) (.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)) 180))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)) 180) (*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)) 180))))))

simplify200.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1588×	`rational.json-simplify-35`
1210×	`rational.json-simplify-1`
1160×	`rational.json-simplify-2`
1032×	`rational.json-simplify-48`
876×	`rational.json-simplify-46`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	281	10067
1	593	9927
2	1234	9895
3	2831	9895
4	4463	9895
5	6642	9727

Stop Event

1×	node limit

Counts

215 → 217

Calls

Call 1

Inputs
A
(+.f64 A (*.f64 1/2 (/.f64 (pow.f64 B 2) A)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 B 4) (pow.f64 A 3))) (+.f64 A (.f64 1/2 (/.f64 (pow.f64 B 2) A))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 B 4) (pow.f64 A 3))) (+.f64 A (+.f64 (.f64 1/16 (/.f64 (pow.f64 B 6) (pow.f64 A 5))) (*.f64 1/2 (/.f64 (pow.f64 B 2) A)))))
B
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 A 2) B)) B)
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(+.f64 (.f64 1/2 (/.f64 (pow.f64 A 2) B)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 A 6) (pow.f64 B 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 A 4) (pow.f64 B 3))) B)))
(*.f64 -1 B)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 A 2) B)) (.f64 -1 B))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 A 2) B)) (+.f64 (.f64 -1 B) (*.f64 1/8 (/.f64 (pow.f64 A 4) (pow.f64 B 3)))))
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B
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 A 2) B)) B)
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A
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(*.f64 -1 A)
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(*.f64 -1 (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))
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(+.f64 C (*.f64 -1 (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))))
C
(+.f64 C (*.f64 -1 (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))))
(+.f64 C (*.f64 -1 (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))))
(+.f64 C (*.f64 -1 (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))))
C
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(+.f64 C (*.f64 -1 (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))))
(+.f64 C (*.f64 -1 (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))))
(-.f64 C B)
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(*.f64 -2 A)
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C
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(*.f64 -1 B)
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B
(-.f64 (+.f64 C B) A)
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(+.f64 (-.f64 -1 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) (-.f64 C (-.f64 A 1)))
(+.f64 (-.f64 C (-.f64 (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) 1)) -1)
(+.f64 (-.f64 -1 A) (-.f64 C (-.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))) 1)))
(+.f64 (-.f64 -1 (-.f64 A C)) (-.f64 1 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))
(+.f64 (-.f64 -1 (-.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))) C)) (-.f64 1 A))
(*.f64 2 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) 2))
(*.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) 1)
(*.f64 1 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))))
(.f64 (.f64 2 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))) 1/2)
(.f64 (.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) 4) 1/4)
(*.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))) (-.f64 A C)) -1)
(*.f64 -1 (+.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))) (-.f64 A C)))
(.f64 1/2 (.f64 2 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))))
(.f64 1/4 (.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) 4))
(*.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) 2) 2)
(/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) 1)
(/.f64 (*.f64 2 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))) 2)
(/.f64 (*.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) 4) 4)
(/.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))) (-.f64 A C)) -1)
(/.f64 (.f64 2 (.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) 4)) 8)
(/.f64 (*.f64 2 (+.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))) (-.f64 A C))) -2)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) 4))) 16)
(neg.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))) (-.f64 A C)))
(+.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)) 0)
(+.f64 0 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)))
(-.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)) 0)
(.f64 2 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (.f64 2 (PI.f64))))
(.f64 2 (.f64 (/.f64 1/2 (PI.f64)) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B))))
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)) 1)
(*.f64 1 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)))
(.f64 (.f64 2 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B))) (/.f64 1/2 (PI.f64)))
(.f64 (.f64 2 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B))) (*.f64 (/.f64 1 (PI.f64)) 1/2))
(.f64 (.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (/.f64 2 (PI.f64))) 1/2)
(.f64 (.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) 4) (/.f64 1 (*.f64 (PI.f64) 4)))
(*.f64 (/.f64 1 (PI.f64)) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)))
(*.f64 (neg.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B))) (/.f64 -1 (PI.f64)))
(*.f64 -1 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (neg.f64 (PI.f64))))
(.f64 1/2 (.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (/.f64 2 (PI.f64))))
(.f64 (/.f64 1/2 (PI.f64)) (.f64 2 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B))))
(.f64 (.f64 (/.f64 1 (PI.f64)) 1/2) (*.f64 2 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B))))
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (neg.f64 (PI.f64))) -1)
(.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (.f64 2 (PI.f64))) 2)
(.f64 (/.f64 1 (.f64 (PI.f64) 4)) (*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) 4))
(*.f64 (/.f64 -1 (PI.f64)) (neg.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B))))
(*.f64 (+.f64 (/.f64 1/2 (PI.f64)) (/.f64 1/2 (PI.f64))) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)))
(neg.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (neg.f64 (PI.f64))))
(+.f64 (*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)) 180) 0)
(+.f64 0 (*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)) 180))
(-.f64 (*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)) 180) 0)
(/.f64 (*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)) 180) 1)
(/.f64 (*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)) 360) 2)
(/.f64 (*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)) 720) 4)
(/.f64 (.f64 2 (.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)) 720)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)) 720)) (.f64 2 (.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)) 720))) 16)

Outputs
A
(+.f64 A (*.f64 1/2 (/.f64 (pow.f64 B 2) A)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 B 4) (pow.f64 A 3))) (+.f64 A (.f64 1/2 (/.f64 (pow.f64 B 2) A))))
(+.f64 A (+.f64 (.f64 1/2 (/.f64 (pow.f64 B 2) A)) (.f64 -1/8 (/.f64 (pow.f64 B 4) (pow.f64 A 3)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 B 4) (pow.f64 A 3))) (+.f64 A (+.f64 (.f64 1/16 (/.f64 (pow.f64 B 6) (pow.f64 A 5))) (*.f64 1/2 (/.f64 (pow.f64 B 2) A)))))
(+.f64 A (+.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 B 2) A)) (.f64 1/16 (/.f64 (pow.f64 B 6) (pow.f64 A 5)))) (*.f64 -1/8 (/.f64 (pow.f64 B 4) (pow.f64 A 3)))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 B 6) (pow.f64 A 5))) (+.f64 A (+.f64 (.f64 1/2 (/.f64 (pow.f64 B 2) A)) (*.f64 -1/8 (/.f64 (pow.f64 B 4) (pow.f64 A 3))))))
(+.f64 A (+.f64 (.f64 1/16 (/.f64 (pow.f64 B 6) (pow.f64 A 5))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 B 2) A)) (*.f64 -1/8 (/.f64 (pow.f64 B 4) (pow.f64 A 3))))))
B
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 A 2) B)) B)
(+.f64 B (*.f64 1/2 (/.f64 (pow.f64 A 2) B)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 A 2) B)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 A 4) (pow.f64 B 3))) B))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 A 2) B)) (+.f64 B (.f64 -1/8 (/.f64 (pow.f64 A 4) (pow.f64 B 3)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 A 2) B)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 A 6) (pow.f64 B 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 A 4) (pow.f64 B 3))) B)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 A 2) B)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 A 4) (pow.f64 B 3))) (+.f64 B (*.f64 1/16 (/.f64 (pow.f64 A 6) (pow.f64 B 5))))))
(+.f64 (+.f64 B (.f64 -1/8 (/.f64 (pow.f64 A 4) (pow.f64 B 3)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 A 2) B)) (*.f64 1/16 (/.f64 (pow.f64 A 6) (pow.f64 B 5)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 A 4) (pow.f64 B 3))) (+.f64 (+.f64 B (.f64 1/2 (/.f64 (pow.f64 A 2) B))) (*.f64 1/16 (/.f64 (pow.f64 A 6) (pow.f64 B 5)))))
(*.f64 -1 B)
(*.f64 B -1)
(neg.f64 B)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 A 2) B)) (.f64 -1 B))
(+.f64 (.f64 B -1) (.f64 (/.f64 (pow.f64 A 2) B) -1/2))
(+.f64 (neg.f64 B) (*.f64 (/.f64 (pow.f64 A 2) B) -1/2))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 A 2) B)) (+.f64 (.f64 -1 B) (*.f64 1/8 (/.f64 (pow.f64 A 4) (pow.f64 B 3)))))
(+.f64 (.f64 (/.f64 (pow.f64 A 2) B) -1/2) (+.f64 (.f64 B -1) (*.f64 (/.f64 (pow.f64 A 4) (pow.f64 B 3)) 1/8)))
(+.f64 (.f64 (/.f64 (pow.f64 A 2) B) -1/2) (+.f64 (neg.f64 B) (.f64 (/.f64 (pow.f64 A 4) (pow.f64 B 3)) 1/8)))
(+.f64 (neg.f64 B) (+.f64 (.f64 (/.f64 (pow.f64 A 2) B) -1/2) (.f64 (/.f64 (pow.f64 A 4) (pow.f64 B 3)) 1/8)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 A 2) B)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 A 6) (pow.f64 B 5))) (+.f64 (.f64 -1 B) (.f64 1/8 (/.f64 (pow.f64 A 4) (pow.f64 B 3))))))
(+.f64 (.f64 (/.f64 (pow.f64 A 2) B) -1/2) (+.f64 (+.f64 (.f64 B -1) (.f64 (/.f64 (pow.f64 A 4) (pow.f64 B 3)) 1/8)) (.f64 (/.f64 (pow.f64 A 6) (pow.f64 B 5)) -1/16)))
(+.f64 (.f64 (/.f64 (pow.f64 A 2) B) -1/2) (+.f64 (.f64 (/.f64 (pow.f64 A 4) (pow.f64 B 3)) 1/8) (+.f64 (neg.f64 B) (*.f64 (/.f64 (pow.f64 A 6) (pow.f64 B 5)) -1/16))))
(+.f64 (.f64 (/.f64 (pow.f64 A 2) B) -1/2) (+.f64 (+.f64 (neg.f64 B) (.f64 (/.f64 (pow.f64 A 4) (pow.f64 B 3)) 1/8)) (*.f64 (/.f64 (pow.f64 A 6) (pow.f64 B 5)) -1/16)))
B
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 A 2) B)) B)
(+.f64 B (*.f64 1/2 (/.f64 (pow.f64 A 2) B)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 A 2) B)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 A 4) (pow.f64 B 3))) B))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 A 2) B)) (+.f64 B (.f64 -1/8 (/.f64 (pow.f64 A 4) (pow.f64 B 3)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 A 2) B)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 A 6) (pow.f64 B 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 A 4) (pow.f64 B 3))) B)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 A 2) B)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 A 4) (pow.f64 B 3))) (+.f64 B (*.f64 1/16 (/.f64 (pow.f64 A 6) (pow.f64 B 5))))))
(+.f64 (+.f64 B (.f64 -1/8 (/.f64 (pow.f64 A 4) (pow.f64 B 3)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 A 2) B)) (*.f64 1/16 (/.f64 (pow.f64 A 6) (pow.f64 B 5)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 A 4) (pow.f64 B 3))) (+.f64 (+.f64 B (.f64 1/2 (/.f64 (pow.f64 A 2) B))) (*.f64 1/16 (/.f64 (pow.f64 A 6) (pow.f64 B 5)))))
A
(+.f64 A (*.f64 1/2 (/.f64 (pow.f64 B 2) A)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 B 4) (pow.f64 A 3))) (+.f64 A (.f64 1/2 (/.f64 (pow.f64 B 2) A))))
(+.f64 A (+.f64 (.f64 1/2 (/.f64 (pow.f64 B 2) A)) (.f64 -1/8 (/.f64 (pow.f64 B 4) (pow.f64 A 3)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 B 4) (pow.f64 A 3))) (+.f64 A (+.f64 (.f64 1/16 (/.f64 (pow.f64 B 6) (pow.f64 A 5))) (*.f64 1/2 (/.f64 (pow.f64 B 2) A)))))
(+.f64 A (+.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 B 2) A)) (.f64 1/16 (/.f64 (pow.f64 B 6) (pow.f64 A 5)))) (*.f64 -1/8 (/.f64 (pow.f64 B 4) (pow.f64 A 3)))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 B 6) (pow.f64 A 5))) (+.f64 A (+.f64 (.f64 1/2 (/.f64 (pow.f64 B 2) A)) (*.f64 -1/8 (/.f64 (pow.f64 B 4) (pow.f64 A 3))))))
(+.f64 A (+.f64 (.f64 1/16 (/.f64 (pow.f64 B 6) (pow.f64 A 5))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 B 2) A)) (*.f64 -1/8 (/.f64 (pow.f64 B 4) (pow.f64 A 3))))))
(*.f64 -1 A)
(neg.f64 A)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 B 2) A)) (.f64 -1 A))
(+.f64 (neg.f64 A) (*.f64 (/.f64 (pow.f64 B 2) A) -1/2))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 B 4) (pow.f64 A 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 B 2) A)) (*.f64 -1 A)))
(+.f64 (+.f64 (neg.f64 A) (.f64 (/.f64 (pow.f64 B 2) A) -1/2)) (.f64 (/.f64 (pow.f64 B 4) (pow.f64 A 3)) 1/8))
(+.f64 (neg.f64 A) (+.f64 (.f64 (/.f64 (pow.f64 B 2) A) -1/2) (.f64 (/.f64 (pow.f64 B 4) (pow.f64 A 3)) 1/8)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 B 4) (pow.f64 A 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 B 2) A)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 B 6) (pow.f64 A 5))) (.f64 -1 A))))
(+.f64 (.f64 (/.f64 (pow.f64 B 4) (pow.f64 A 3)) 1/8) (+.f64 (.f64 (/.f64 (pow.f64 B 2) A) -1/2) (+.f64 (neg.f64 A) (*.f64 (/.f64 (pow.f64 B 6) (pow.f64 A 5)) -1/16))))
(+.f64 (+.f64 (neg.f64 A) (.f64 (/.f64 (pow.f64 B 6) (pow.f64 A 5)) -1/16)) (+.f64 (.f64 (/.f64 (pow.f64 B 2) A) -1/2) (*.f64 (/.f64 (pow.f64 B 4) (pow.f64 A 3)) 1/8)))
(+.f64 (.f64 (/.f64 (pow.f64 B 2) A) -1/2) (+.f64 (.f64 (/.f64 (pow.f64 B 6) (pow.f64 A 5)) -1/16) (+.f64 (neg.f64 A) (*.f64 (/.f64 (pow.f64 B 4) (pow.f64 A 3)) 1/8))))
(+.f64 (neg.f64 A) (+.f64 (.f64 (/.f64 (pow.f64 B 6) (pow.f64 A 5)) -1/16) (+.f64 (.f64 (/.f64 (pow.f64 B 2) A) -1/2) (*.f64 (/.f64 (pow.f64 B 4) (pow.f64 A 3)) 1/8))))
(*.f64 -1 (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))
(neg.f64 (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))
(-.f64 (neg.f64 A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))
(+.f64 C (*.f64 -1 (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))))
(+.f64 (*.f64 -1 (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) C)
(+.f64 C (neg.f64 (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))))
(+.f64 C (-.f64 (neg.f64 A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))
(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))
(+.f64 C (*.f64 -1 (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))))
(+.f64 (*.f64 -1 (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) C)
(+.f64 C (neg.f64 (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))))
(+.f64 C (-.f64 (neg.f64 A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))
(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))
(+.f64 C (*.f64 -1 (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))))
(+.f64 (*.f64 -1 (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) C)
(+.f64 C (neg.f64 (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))))
(+.f64 C (-.f64 (neg.f64 A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))
(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))
C
(+.f64 C (*.f64 -1 (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))))
(+.f64 (*.f64 -1 (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) C)
(+.f64 C (neg.f64 (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))))
(+.f64 C (-.f64 (neg.f64 A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))
(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))
(+.f64 C (*.f64 -1 (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))))
(+.f64 (*.f64 -1 (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) C)
(+.f64 C (neg.f64 (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))))
(+.f64 C (-.f64 (neg.f64 A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))
(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))
(+.f64 C (*.f64 -1 (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))))
(+.f64 (*.f64 -1 (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) C)
(+.f64 C (neg.f64 (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))))
(+.f64 C (-.f64 (neg.f64 A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))
(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))
C
(+.f64 C (*.f64 -1 (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))))
(+.f64 (*.f64 -1 (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) C)
(+.f64 C (neg.f64 (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))))
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(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))
(+.f64 C (*.f64 -1 (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))))
(+.f64 (*.f64 -1 (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) C)
(+.f64 C (neg.f64 (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))))
(+.f64 C (-.f64 (neg.f64 A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))))
(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))
(+.f64 C (*.f64 -1 (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))))
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(+.f64 C (neg.f64 (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))))
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(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))
(-.f64 C B)
(-.f64 (+.f64 C (*.f64 -1 A)) B)
(+.f64 (neg.f64 A) (-.f64 C B))
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(-.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 A 2) B)) (+.f64 C (.f64 -1 A))) B)
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(-.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 A 2) B)) (+.f64 C (+.f64 (.f64 1/8 (/.f64 (pow.f64 A 4) (pow.f64 B 3))) (*.f64 -1 A)))) B)
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(*.f64 -2 A)
(*.f64 A -2)
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C
(+.f64 C (*.f64 1/2 (/.f64 (pow.f64 B 2) A)))
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(-.f64 C (*.f64 2 A))
(-.f64 C (*.f64 A 2))
(-.f64 (+.f64 C (.f64 -1/2 (/.f64 (pow.f64 B 2) A))) (.f64 2 A))
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(*.f64 -1 B)
(*.f64 B -1)
(neg.f64 B)
(-.f64 (+.f64 C (*.f64 -1 B)) A)
(+.f64 (neg.f64 A) (-.f64 C B))
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(+.f64 (+.f64 (.f64 (/.f64 (pow.f64 A 4) (pow.f64 B 3)) 1/8) (+.f64 (neg.f64 A) C)) (-.f64 (.f64 (/.f64 (pow.f64 A 2) B) -1/2) B))
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B
(-.f64 (+.f64 C B) A)
(-.f64 (+.f64 B C) A)
(+.f64 C (-.f64 B A))
(-.f64 (+.f64 C (+.f64 (*.f64 1/2 (/.f64 (pow.f64 A 2) B)) B)) A)
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(+.f64 (*.f64 1/2 (/.f64 (pow.f64 A 2) B)) (+.f64 C (-.f64 B A)))
(-.f64 (+.f64 C (+.f64 (.f64 1/2 (/.f64 (pow.f64 A 2) B)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 A 4) (pow.f64 B 3))) B))) A)
(+.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 A 2) B)) (+.f64 B (.f64 -1/8 (/.f64 (pow.f64 A 4) (pow.f64 B 3))))) (-.f64 C A))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 A 2) B)) (+.f64 (+.f64 B (.f64 -1/8 (/.f64 (pow.f64 A 4) (pow.f64 B 3)))) (-.f64 C A)))
(+.f64 (+.f64 B (.f64 1/2 (/.f64 (pow.f64 A 2) B))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 A 4) (pow.f64 B 3))) (-.f64 C A)))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64))
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(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) B)) (PI.f64))
(/.f64 (atan.f64 (.f64 -1 (/.f64 (+.f64 A (+.f64 (.f64 -1 C) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B))) (PI.f64))
(/.f64 (atan.f64 (.f64 -1 (/.f64 (+.f64 A (+.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))) (.f64 -1 C))) B))) (PI.f64))
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(/.f64 (atan.f64 (.f64 -1 (/.f64 (+.f64 A (+.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))) (.f64 -1 C))) B))) (PI.f64))
(/.f64 (atan.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))) (+.f64 (neg.f64 C) A)) B))) (PI.f64))
(/.f64 (atan.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))) (-.f64 A C)) B))) (PI.f64))
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(/.f64 (atan.f64 (/.f64 (-.f64 (+.f64 C (*.f64 -1 A)) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) B)) (PI.f64))
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(/.f64 (*.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) 4) 4)
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(/.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))) (-.f64 A C)) -1)
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(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))
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(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) 4))) 16)
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(+.f64 C (neg.f64 (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))))
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(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))
(neg.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))) (-.f64 A C)))
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(-.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)) 0)
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(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) B)) (PI.f64))
(.f64 2 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (.f64 2 (PI.f64))))
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(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) B)) (PI.f64))
(.f64 2 (.f64 (/.f64 1/2 (PI.f64)) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B))))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) B)) (PI.f64))
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (/.f64 1 (PI.f64)))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) B)) (PI.f64))
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)) 1)
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) B)) (PI.f64))
(*.f64 1 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) B)) (PI.f64))
(.f64 (.f64 2 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B))) (/.f64 1/2 (PI.f64)))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) B)) (PI.f64))
(.f64 (.f64 2 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B))) (*.f64 (/.f64 1 (PI.f64)) 1/2))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) B)) (PI.f64))
(.f64 (.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (/.f64 2 (PI.f64))) 1/2)
(.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (.f64 (/.f64 2 (PI.f64)) 1/2))
(.f64 1/2 (.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (/.f64 2 (PI.f64))))
(.f64 1/2 (.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) B)) (/.f64 2 (PI.f64))))
(.f64 (.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) 4) (/.f64 1 (*.f64 (PI.f64) 4)))
(.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (.f64 4 (/.f64 1 (*.f64 4 (PI.f64)))))
(.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (.f64 4 (/.f64 1/4 (PI.f64))))
(.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) B)) (.f64 4 (/.f64 1/4 (PI.f64))))
(*.f64 (/.f64 1 (PI.f64)) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) B)) (PI.f64))
(*.f64 (neg.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B))) (/.f64 -1 (PI.f64)))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) B)) (PI.f64))
(*.f64 -1 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (neg.f64 (PI.f64))))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) B)) (PI.f64))
(.f64 1/2 (.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (/.f64 2 (PI.f64))))
(.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (.f64 (/.f64 2 (PI.f64)) 1/2))
(.f64 1/2 (.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) B)) (/.f64 2 (PI.f64))))
(.f64 (/.f64 1/2 (PI.f64)) (.f64 2 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B))))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) B)) (PI.f64))
(.f64 (.f64 (/.f64 1 (PI.f64)) 1/2) (*.f64 2 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B))))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) B)) (PI.f64))
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (neg.f64 (PI.f64))) -1)
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) B)) (PI.f64))
(.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (.f64 2 (PI.f64))) 2)
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) B)) (PI.f64))
(.f64 (/.f64 1 (.f64 (PI.f64) 4)) (*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) 4))
(.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (.f64 4 (/.f64 1 (*.f64 4 (PI.f64)))))
(.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (.f64 4 (/.f64 1/4 (PI.f64))))
(.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) B)) (.f64 4 (/.f64 1/4 (PI.f64))))
(*.f64 (/.f64 -1 (PI.f64)) (neg.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B))))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) B)) (PI.f64))
(*.f64 (+.f64 (/.f64 1/2 (PI.f64)) (/.f64 1/2 (PI.f64))) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) B)) (PI.f64))
(neg.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (neg.f64 (PI.f64))))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) B)) (PI.f64))
(+.f64 (*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)) 180) 0)
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)) 180)
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) B)) (PI.f64)) 180)
(+.f64 0 (*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)) 180))
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)) 180)
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) B)) (PI.f64)) 180)
(-.f64 (*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)) 180) 0)
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)) 180)
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) B)) (PI.f64)) 180)
(/.f64 (*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)) 180) 1)
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)) 180)
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) B)) (PI.f64)) 180)
(/.f64 (*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)) 360) 2)
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)) 180)
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) B)) (PI.f64)) 180)
(/.f64 (*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)) 720) 4)
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)) 180)
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) B)) (PI.f64)) 180)
(/.f64 (.f64 2 (.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)) 720)) 8)
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)) 180)
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) B)) (PI.f64)) 180)
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)) 720)) (.f64 2 (.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)) 720))) 16)
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)) 180)
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) B)) (PI.f64)) 180)

localize8.0ms (0%)

Compiler: Compiled 18 to 16 computations (11.1% saved)

localize61.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 C B) A)
✓	0.0b	(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (+.f64 C B) A) B)) (PI.f64)))
✓	0.0b	(/.f64 (-.f64 (+.f64 C B) A) B)
✓	0.0b	(/.f64 (atan.f64 (/.f64 (-.f64 (+.f64 C B) A) B)) (PI.f64))

Compiler

Compiled 53 to 12 computations (77.4% saved)

series9.0ms (0%)

Counts

4 → 78

Calls

36 calls:

Time	Variable		Point	Expression
0.0ms	B	@	-inf	(/.f64 (atan.f64 (/.f64 (-.f64 (+.f64 C B) A) B)) (PI.f64))
0.0ms	C	@	0	(/.f64 (atan.f64 (/.f64 (-.f64 (+.f64 C B) A) B)) (PI.f64))
0.0ms	A	@	-inf	(/.f64 (atan.f64 (/.f64 (-.f64 (+.f64 C B) A) B)) (PI.f64))
0.0ms	C	@	-inf	(/.f64 (atan.f64 (/.f64 (-.f64 (+.f64 C B) A) B)) (PI.f64))
0.0ms	B	@	inf	(/.f64 (atan.f64 (/.f64 (-.f64 (+.f64 C B) A) B)) (PI.f64))

rewrite106.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1048×	`rational.json-simplify-35`
954×	`bool.json-1`
954×	`bool.json-2`
924×	`rational.json-1`
924×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	100
1	150	100
2	424	100
3	1032	100
4	2735	100
5	7347	100

Stop Event

1×	node limit

Counts

4 → 88

Calls

Call 1

Inputs
(/.f64 (atan.f64 (/.f64 (-.f64 (+.f64 C B) A) B)) (PI.f64))
(/.f64 (-.f64 (+.f64 C B) A) B)
(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (+.f64 C B) A) B)) (PI.f64)))
(-.f64 (+.f64 C B) A)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (atan.f64 (/.f64 (+.f64 C (-.f64 B A)) B)) (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (atan.f64 (/.f64 (+.f64 C (-.f64 B A)) B)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (atan.f64 (/.f64 (+.f64 C (-.f64 B A)) B)) (neg.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (atan.f64 (/.f64 (+.f64 C (-.f64 B A)) B)) (.f64 (PI.f64) 2)) (/.f64 (atan.f64 (/.f64 (+.f64 C (-.f64 B A)) B)) (.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (atan.f64 (/.f64 (+.f64 C (-.f64 B A)) B)) (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (atan.f64 (/.f64 (+.f64 C (-.f64 B A)) B)) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (atan.f64 (/.f64 (+.f64 C (-.f64 B A)) B)) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (atan.f64 (/.f64 (+.f64 C (-.f64 B A)) B)) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (atan.f64 (/.f64 (+.f64 C (-.f64 B A)) B)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (atan.f64 (/.f64 (+.f64 C (-.f64 B A)) B)) 2) (/.f64 1/2 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (atan.f64 (/.f64 (+.f64 C (-.f64 B A)) B)) 2) (.f64 (/.f64 1 (PI.f64)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (atan.f64 (/.f64 (+.f64 C (-.f64 B A)) B)) (.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 1/2 (PI.f64)) (atan.f64 (/.f64 (+.f64 C (-.f64 B A)) B))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (atan.f64 (/.f64 (+.f64 C (-.f64 B A)) B)) (/.f64 2 (PI.f64))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (atan.f64 (/.f64 (+.f64 C (-.f64 B A)) B)) 4) (/.f64 (/.f64 1 (PI.f64)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (PI.f64)) (atan.f64 (/.f64 (+.f64 C (-.f64 B A)) B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (atan.f64 (/.f64 (+.f64 C (-.f64 B A)) B))) (/.f64 -1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (atan.f64 (/.f64 (+.f64 C (-.f64 B A)) B)) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (atan.f64 (/.f64 (+.f64 C (-.f64 B A)) B)) (/.f64 2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (PI.f64)) (.f64 (atan.f64 (/.f64 (+.f64 C (-.f64 B A)) B)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 (PI.f64)) 1/2) (.f64 (atan.f64 (/.f64 (+.f64 C (-.f64 B A)) B)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (atan.f64 (/.f64 (+.f64 C (-.f64 B A)) B)) (neg.f64 (PI.f64))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (atan.f64 (/.f64 (+.f64 C (-.f64 B A)) B)) (.f64 (PI.f64) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (PI.f64)) 4) (.f64 (atan.f64 (/.f64 (+.f64 C (-.f64 B A)) B)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (PI.f64)) (neg.f64 (atan.f64 (/.f64 (+.f64 C (-.f64 B A)) B))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (atan.f64 (/.f64 (+.f64 C (-.f64 B A)) B)) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (atan.f64 (/.f64 (+.f64 C (-.f64 B A)) B)) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (atan.f64 (/.f64 (+.f64 C (-.f64 B A)) B)) (PI.f64)) (/.f64 (atan.f64 (/.f64 (+.f64 C (-.f64 B A)) B)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (atan.f64 (/.f64 (+.f64 C (-.f64 B A)) B)) (PI.f64)) (/.f64 (atan.f64 (/.f64 (+.f64 C (-.f64 B A)) B)) (PI.f64)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 C (-.f64 B A)) B) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 C (-.f64 B A)) B))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (-.f64 A (+.f64 C B)) B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 C (-.f64 B A)) (+.f64 B B)) (/.f64 (+.f64 C (-.f64 B A)) (+.f64 B B)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 C (-.f64 B A)) B) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (-.f64 A (+.f64 C B)) B))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 C (-.f64 B A)) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 C (-.f64 B A)) B) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 C (-.f64 B A)) B))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 C (-.f64 B A)) 2) (/.f64 1/2 B))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 C (-.f64 B A)) 2) (.f64 (/.f64 1 B) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (+.f64 C (-.f64 B A)) (+.f64 B B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 1/2 B) (+.f64 C (-.f64 B A))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 C (-.f64 B A)) (/.f64 B 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 C (-.f64 B A)) 4) (/.f64 1 (.f64 B 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 B) (+.f64 C (-.f64 B A)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 A (+.f64 C B)) (/.f64 -1 B))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (-.f64 A (+.f64 C B)) B))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (/.f64 (+.f64 C (-.f64 B A)) (/.f64 B 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 B) (.f64 (+.f64 C (-.f64 B A)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 B) 1/2) (.f64 (+.f64 C (-.f64 B A)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 A (+.f64 C B)) B) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 C (-.f64 B A)) (+.f64 B B)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 B 4)) (.f64 (+.f64 C (-.f64 B A)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 B) (-.f64 A (+.f64 C B)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 A (+.f64 C B)) B))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (+.f64 C (-.f64 B A)) B)))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (+.f64 C (-.f64 B A)) B) (/.f64 (+.f64 C (-.f64 B A)) B))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (+.f64 C (-.f64 B A)) B) (/.f64 (+.f64 C (-.f64 B A)) B))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (atan.f64 (/.f64 (+.f64 C (-.f64 B A)) B)) (PI.f64)) 180) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (/.f64 (atan.f64 (/.f64 (+.f64 C (-.f64 B A)) B)) (PI.f64)) 180))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 (atan.f64 (/.f64 (+.f64 C (-.f64 B A)) B)) (PI.f64)) 180) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (atan.f64 (/.f64 (+.f64 C (-.f64 B A)) B)) (PI.f64)) 180) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (atan.f64 (/.f64 (+.f64 C (-.f64 B A)) B)) (PI.f64)) 360) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (atan.f64 (/.f64 (+.f64 C (-.f64 B A)) B)) (PI.f64)) 720) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (/.f64 (atan.f64 (/.f64 (+.f64 C (-.f64 B A)) B)) (PI.f64)) 720)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (/.f64 (atan.f64 (/.f64 (+.f64 C (-.f64 B A)) B)) (PI.f64)) 720)) (.f64 2 (.f64 (/.f64 (atan.f64 (/.f64 (+.f64 C (-.f64 B A)) B)) (PI.f64)) 720))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 (/.f64 (atan.f64 (/.f64 (+.f64 C (-.f64 B A)) B)) (PI.f64)) 180)))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (/.f64 (atan.f64 (/.f64 (+.f64 C (-.f64 B A)) B)) (PI.f64)) 180) (.f64 (/.f64 (atan.f64 (/.f64 (+.f64 C (-.f64 B A)) B)) (PI.f64)) 180))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (/.f64 (atan.f64 (/.f64 (+.f64 C (-.f64 B A)) B)) (PI.f64)) 180) (*.f64 (/.f64 (atan.f64 (/.f64 (+.f64 C (-.f64 B A)) B)) (PI.f64)) 180))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 C (-.f64 B A))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 B (-.f64 C A))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 C B) (neg.f64 A))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 C (-.f64 B A)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 C (-.f64 B A)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 C A) B)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 B A) C)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (+.f64 C (-.f64 B A))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 A) (+.f64 C B))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (+.f64 C (-.f64 B A))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 C (-.f64 B A)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 C (-.f64 B A)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 C (-.f64 B A)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (+.f64 C (-.f64 B A)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 C (-.f64 B A)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 A (+.f64 C B)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 A (+.f64 C B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (+.f64 C (-.f64 B A)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 C (-.f64 B A)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 C (-.f64 B A)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 C (-.f64 B A)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 C (-.f64 B A)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 C (-.f64 B A)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 A (+.f64 C B)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (+.f64 C (-.f64 B A)) 2) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 C (-.f64 B A)) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 (+.f64 C (-.f64 B A)) 2) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 A (+.f64 C B)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 C (-.f64 B A))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 C (-.f64 B A)) (+.f64 C (-.f64 B A)))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 C (-.f64 B A)) (+.f64 C (-.f64 B A)))))))

simplify176.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1514×	`rational.json-simplify-39`
1466×	`rational.json-simplify-35`
1306×	`rational.json-simplify-2`
888×	`rational.json-simplify-1`
758×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	191	4128
1	387	4092
2	900	4092
3	2773	3792
4	5195	3792
5	6292	3792

Stop Event

1×	node limit

Counts

166 → 138

Calls

Call 1

Inputs
(/.f64 (atan.f64 (/.f64 (-.f64 B (+.f64 A (*.f64 -1 C))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 B (+.f64 A (*.f64 -1 C))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 B (+.f64 A (*.f64 -1 C))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 B (+.f64 A (*.f64 -1 C))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (*.f64 -1 B))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (*.f64 -1 B))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (*.f64 -1 B))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (*.f64 -1 B))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (+.f64 C (+.f64 (*.f64 -1 A) B)) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (+.f64 C (+.f64 (*.f64 -1 A) B)) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (+.f64 C (+.f64 (*.f64 -1 A) B)) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (+.f64 C (+.f64 (*.f64 -1 A) B)) B)) (PI.f64))
(/.f64 (-.f64 B A) B)
(-.f64 (+.f64 1 (/.f64 C B)) (/.f64 A B))
(-.f64 (+.f64 1 (/.f64 C B)) (/.f64 A B))
(-.f64 (+.f64 1 (/.f64 C B)) (/.f64 A B))
(/.f64 C B)
(-.f64 (+.f64 1 (/.f64 C B)) (/.f64 A B))
(-.f64 (+.f64 1 (/.f64 C B)) (/.f64 A B))
(-.f64 (+.f64 1 (/.f64 C B)) (/.f64 A B))
(/.f64 C B)
(-.f64 (+.f64 1 (/.f64 C B)) (/.f64 A B))
(-.f64 (+.f64 1 (/.f64 C B)) (/.f64 A B))
(-.f64 (+.f64 1 (/.f64 C B)) (/.f64 A B))
(/.f64 (-.f64 C A) B)
(-.f64 (+.f64 1 (/.f64 C B)) (/.f64 A B))
(-.f64 (+.f64 1 (/.f64 C B)) (/.f64 A B))
(-.f64 (+.f64 1 (/.f64 C B)) (/.f64 A B))
1
(-.f64 (+.f64 1 (/.f64 C B)) (/.f64 A B))
(-.f64 (+.f64 1 (/.f64 C B)) (/.f64 A B))
(-.f64 (+.f64 1 (/.f64 C B)) (/.f64 A B))
1
(-.f64 (+.f64 1 (/.f64 C B)) (/.f64 A B))
(-.f64 (+.f64 1 (/.f64 C B)) (/.f64 A B))
(-.f64 (+.f64 1 (/.f64 C B)) (/.f64 A B))
(/.f64 (+.f64 C B) B)
(+.f64 1 (+.f64 (/.f64 C B) (*.f64 -1 (/.f64 A B))))
(+.f64 1 (+.f64 (/.f64 C B) (*.f64 -1 (/.f64 A B))))
(+.f64 1 (+.f64 (/.f64 C B) (*.f64 -1 (/.f64 A B))))
(*.f64 -1 (/.f64 A B))
(+.f64 1 (+.f64 (/.f64 C B) (*.f64 -1 (/.f64 A B))))
(+.f64 1 (+.f64 (/.f64 C B) (*.f64 -1 (/.f64 A B))))
(+.f64 1 (+.f64 (/.f64 C B) (*.f64 -1 (/.f64 A B))))
(*.f64 -1 (/.f64 A B))
(+.f64 1 (+.f64 (/.f64 C B) (*.f64 -1 (/.f64 A B))))
(+.f64 1 (+.f64 (/.f64 C B) (*.f64 -1 (/.f64 A B))))
(+.f64 1 (+.f64 (/.f64 C B) (*.f64 -1 (/.f64 A B))))
(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 B (+.f64 A (.f64 -1 C))) B)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 B (+.f64 A (.f64 -1 C))) B)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 B (+.f64 A (.f64 -1 C))) B)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 B (+.f64 A (.f64 -1 C))) B)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (.f64 -1 B))) B)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (.f64 -1 B))) B)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (.f64 -1 B))) B)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (.f64 -1 B))) B)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 C (+.f64 (.f64 -1 A) B)) B)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 C (+.f64 (.f64 -1 A) B)) B)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 C (+.f64 (.f64 -1 A) B)) B)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 C (+.f64 (.f64 -1 A) B)) B)) (PI.f64)))
(-.f64 B A)
C
C
(-.f64 C A)
B
B
(+.f64 C B)
(+.f64 C (+.f64 (*.f64 -1 A) B))
(+.f64 C (+.f64 (*.f64 -1 A) B))
(+.f64 C (+.f64 (*.f64 -1 A) B))
(*.f64 -1 A)
(+.f64 C (+.f64 B (*.f64 -1 A)))
(+.f64 C (+.f64 B (*.f64 -1 A)))
(+.f64 C (+.f64 B (*.f64 -1 A)))
(*.f64 -1 A)
(+.f64 C (+.f64 B (*.f64 -1 A)))
(+.f64 C (+.f64 B (*.f64 -1 A)))
(+.f64 C (+.f64 B (*.f64 -1 A)))
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(.f64 2 (/.f64 (atan.f64 (/.f64 (+.f64 C (-.f64 B A)) B)) (.f64 (PI.f64) 2)))
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(*.f64 (/.f64 (atan.f64 (/.f64 (+.f64 C (-.f64 B A)) B)) (neg.f64 (PI.f64))) -1)
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(-.f64 (/.f64 (+.f64 C (-.f64 B A)) B) 0)
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(*.f64 (/.f64 (+.f64 C (-.f64 B A)) B) 1)
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(*.f64 (/.f64 (+.f64 C (-.f64 B A)) (/.f64 B 2)) 1/2)
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Outputs
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(/.f64 (atan.f64 (/.f64 (-.f64 B (+.f64 A (neg.f64 C))) B)) (PI.f64))
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(*.f64 (/.f64 (atan.f64 (/.f64 (+.f64 B (+.f64 (neg.f64 A) C)) B)) (PI.f64)) 180)
(*.f64 (/.f64 (atan.f64 (/.f64 (+.f64 B (+.f64 C (neg.f64 A))) B)) (PI.f64)) 180)
(*.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 B (-.f64 C A)) B)) (PI.f64)))
(/.f64 (.f64 2 (.f64 (/.f64 (atan.f64 (/.f64 (+.f64 C (-.f64 B A)) B)) (PI.f64)) 720)) 8)
(*.f64 (/.f64 (atan.f64 (/.f64 (+.f64 B (+.f64 (neg.f64 A) C)) B)) (PI.f64)) 180)
(*.f64 (/.f64 (atan.f64 (/.f64 (+.f64 B (+.f64 C (neg.f64 A))) B)) (PI.f64)) 180)
(*.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 B (-.f64 C A)) B)) (PI.f64)))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (atan.f64 (/.f64 (+.f64 C (-.f64 B A)) B)) (PI.f64)) 720)) (.f64 2 (.f64 (/.f64 (atan.f64 (/.f64 (+.f64 C (-.f64 B A)) B)) (PI.f64)) 720))) 16)
(*.f64 (/.f64 (atan.f64 (/.f64 (+.f64 B (+.f64 (neg.f64 A) C)) B)) (PI.f64)) 180)
(*.f64 (/.f64 (atan.f64 (/.f64 (+.f64 B (+.f64 C (neg.f64 A))) B)) (PI.f64)) 180)
(*.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 B (-.f64 C A)) B)) (PI.f64)))
(+.f64 C (-.f64 B A))
(+.f64 B (+.f64 (neg.f64 A) C))
(+.f64 B (+.f64 C (neg.f64 A)))
(+.f64 B (-.f64 C A))
(+.f64 B (-.f64 C A))
(+.f64 B (+.f64 (neg.f64 A) C))
(+.f64 B (+.f64 C (neg.f64 A)))
(+.f64 (+.f64 C B) (neg.f64 A))
(+.f64 B (+.f64 (neg.f64 A) C))
(+.f64 B (+.f64 C (neg.f64 A)))
(+.f64 B (-.f64 C A))
(+.f64 (+.f64 C (-.f64 B A)) 0)
(+.f64 B (+.f64 (neg.f64 A) C))
(+.f64 B (+.f64 C (neg.f64 A)))
(+.f64 B (-.f64 C A))
(+.f64 0 (+.f64 C (-.f64 B A)))
(+.f64 B (+.f64 (neg.f64 A) C))
(+.f64 B (+.f64 C (neg.f64 A)))
(+.f64 B (-.f64 C A))
(+.f64 (-.f64 C A) B)
(+.f64 B (+.f64 (neg.f64 A) C))
(+.f64 B (+.f64 C (neg.f64 A)))
(+.f64 B (-.f64 C A))
(+.f64 (-.f64 B A) C)
(+.f64 B (+.f64 (neg.f64 A) C))
(+.f64 B (+.f64 C (neg.f64 A)))
(+.f64 B (-.f64 C A))
(+.f64 -1 (+.f64 1 (+.f64 C (-.f64 B A))))
(+.f64 B (+.f64 (neg.f64 A) C))
(+.f64 B (+.f64 C (neg.f64 A)))
(+.f64 B (-.f64 C A))
(+.f64 (neg.f64 A) (+.f64 C B))
(+.f64 B (+.f64 (neg.f64 A) C))
(+.f64 B (+.f64 C (neg.f64 A)))
(+.f64 B (-.f64 C A))
(+.f64 (+.f64 1 (+.f64 C (-.f64 B A))) -1)
(+.f64 B (+.f64 (neg.f64 A) C))
(+.f64 B (+.f64 C (neg.f64 A)))
(+.f64 B (-.f64 C A))
(*.f64 (+.f64 C (-.f64 B A)) 1)
(+.f64 B (+.f64 (neg.f64 A) C))
(+.f64 B (+.f64 C (neg.f64 A)))
(+.f64 B (-.f64 C A))
(*.f64 1 (+.f64 C (-.f64 B A)))
(+.f64 B (+.f64 (neg.f64 A) C))
(+.f64 B (+.f64 C (neg.f64 A)))
(+.f64 B (-.f64 C A))
(.f64 (.f64 (+.f64 C (-.f64 B A)) 2) 1/2)
(+.f64 B (+.f64 (neg.f64 A) C))
(+.f64 B (+.f64 C (neg.f64 A)))
(+.f64 B (-.f64 C A))
(*.f64 2 (/.f64 (+.f64 C (-.f64 B A)) 2))
(+.f64 B (+.f64 (neg.f64 A) C))
(+.f64 B (+.f64 C (neg.f64 A)))
(+.f64 B (-.f64 C A))
(.f64 (.f64 (+.f64 C (-.f64 B A)) 4) 1/4)
(+.f64 B (+.f64 (neg.f64 A) C))
(+.f64 B (+.f64 C (neg.f64 A)))
(+.f64 B (-.f64 C A))
(*.f64 (-.f64 A (+.f64 C B)) -1)
(+.f64 B (+.f64 (neg.f64 A) C))
(+.f64 B (+.f64 C (neg.f64 A)))
(+.f64 B (-.f64 C A))
(*.f64 -1 (-.f64 A (+.f64 C B)))
(+.f64 B (+.f64 (neg.f64 A) C))
(+.f64 B (+.f64 C (neg.f64 A)))
(+.f64 B (-.f64 C A))
(.f64 1/2 (.f64 (+.f64 C (-.f64 B A)) 2))
(+.f64 B (+.f64 (neg.f64 A) C))
(+.f64 B (+.f64 C (neg.f64 A)))
(+.f64 B (-.f64 C A))
(*.f64 (/.f64 (+.f64 C (-.f64 B A)) 2) 2)
(+.f64 B (+.f64 (neg.f64 A) C))
(+.f64 B (+.f64 C (neg.f64 A)))
(+.f64 B (-.f64 C A))
(.f64 1/4 (.f64 (+.f64 C (-.f64 B A)) 4))
(+.f64 B (+.f64 (neg.f64 A) C))
(+.f64 B (+.f64 C (neg.f64 A)))
(+.f64 B (-.f64 C A))
(/.f64 (+.f64 C (-.f64 B A)) 1)
(+.f64 B (+.f64 (neg.f64 A) C))
(+.f64 B (+.f64 C (neg.f64 A)))
(+.f64 B (-.f64 C A))
(/.f64 (*.f64 (+.f64 C (-.f64 B A)) 2) 2)
(+.f64 B (+.f64 (neg.f64 A) C))
(+.f64 B (+.f64 C (neg.f64 A)))
(+.f64 B (-.f64 C A))
(/.f64 (*.f64 (+.f64 C (-.f64 B A)) 4) 4)
(+.f64 B (+.f64 (neg.f64 A) C))
(+.f64 B (+.f64 C (neg.f64 A)))
(+.f64 B (-.f64 C A))
(/.f64 (-.f64 A (+.f64 C B)) -1)
(+.f64 B (+.f64 (neg.f64 A) C))
(+.f64 B (+.f64 C (neg.f64 A)))
(+.f64 B (-.f64 C A))
(/.f64 (.f64 (.f64 (+.f64 C (-.f64 B A)) 2) 4) 8)
(+.f64 B (+.f64 (neg.f64 A) C))
(+.f64 B (+.f64 C (neg.f64 A)))
(+.f64 B (-.f64 C A))
(/.f64 (*.f64 (+.f64 C (-.f64 B A)) -2) -2)
(+.f64 B (+.f64 (neg.f64 A) C))
(+.f64 B (+.f64 C (neg.f64 A)))
(+.f64 B (-.f64 C A))
(/.f64 (.f64 2 (.f64 (*.f64 (+.f64 C (-.f64 B A)) 2) 4)) 16)
(+.f64 B (+.f64 (neg.f64 A) C))
(+.f64 B (+.f64 C (neg.f64 A)))
(+.f64 B (-.f64 C A))
(neg.f64 (-.f64 A (+.f64 C B)))
(+.f64 B (+.f64 (neg.f64 A) C))
(+.f64 B (+.f64 C (neg.f64 A)))
(+.f64 B (-.f64 C A))

localize48.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) B)) B)) (PI.f64))
	0.0b	(pow.f64 (-.f64 A C) 2)
✓	3.1b	(/.f64 (-.f64 (-.f64 C A) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) B)) B)
✓	7.4b	(/.f64 (pow.f64 (-.f64 A C) 2) B)

Compiler

Compiled 140 to 71 computations (49.3% saved)

series13.0ms (0%)

Counts

3 → 96

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	A	@	-inf	(/.f64 (-.f64 (-.f64 C A) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) B)) B)
1.0ms	C	@	-inf	(/.f64 (-.f64 (-.f64 C A) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) B)) B)
1.0ms	C	@	0	(/.f64 (-.f64 (-.f64 C A) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) B)) B)
1.0ms	B	@	-inf	(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) B)) B)) (PI.f64))
1.0ms	C	@	-inf	(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) B)) B)) (PI.f64))

rewrite73.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1392×	`rational.json-simplify-35`
1168×	`bool.json-1`
1168×	`bool.json-2`
1144×	`rational.json-1`
1144×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	129
1	197	129
2	531	129
3	1253	129
4	3364	129

Stop Event

1×	node limit

Counts

3 → 77

Calls

Call 1

Inputs

(/.f64 (pow.f64 (-.f64 A C) 2) B)

(/.f64 (-.f64 (-.f64 C A) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) B)) B)

(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) B)) B)) (PI.f64))

Outputs

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

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simplify224.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1674×	`rational.json-simplify-35`
1282×	`rational.json-simplify-41`
836×	`rational.json-simplify-49`
824×	`rational.json-simplify-61`
778×	`rational.json-simplify-2`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	258	9087
1	524	8977
2	942	8977
3	1696	8953
4	3781	8933
5	7037	8885
6	7921	8885

Stop Event

1×	node limit

Counts

173 → 196

Calls

Call 1

Inputs
(/.f64 (pow.f64 C 2) B)
(+.f64 (.f64 -2 (/.f64 (.f64 A C) B)) (/.f64 (pow.f64 C 2) B))
(+.f64 (/.f64 (pow.f64 A 2) B) (+.f64 (.f64 -2 (/.f64 (.f64 A C) B)) (/.f64 (pow.f64 C 2) B)))
(+.f64 (/.f64 (pow.f64 A 2) B) (+.f64 (.f64 -2 (/.f64 (.f64 A C) B)) (/.f64 (pow.f64 C 2) B)))
(/.f64 (pow.f64 A 2) B)
(+.f64 (/.f64 (pow.f64 A 2) B) (.f64 -2 (/.f64 (.f64 A C) B)))
(+.f64 (/.f64 (pow.f64 A 2) B) (+.f64 (.f64 -2 (/.f64 (.f64 A C) B)) (/.f64 (pow.f64 C 2) B)))
(+.f64 (/.f64 (pow.f64 A 2) B) (+.f64 (.f64 -2 (/.f64 (.f64 A C) B)) (/.f64 (pow.f64 C 2) B)))
(/.f64 (pow.f64 A 2) B)
(+.f64 (/.f64 (pow.f64 A 2) B) (.f64 -2 (/.f64 (.f64 A C) B)))
(+.f64 (/.f64 (pow.f64 A 2) B) (+.f64 (.f64 -2 (/.f64 (.f64 A C) B)) (/.f64 (pow.f64 C 2) B)))
(+.f64 (/.f64 (pow.f64 A 2) B) (+.f64 (.f64 -2 (/.f64 (.f64 A C) B)) (/.f64 (pow.f64 C 2) B)))
(/.f64 (pow.f64 A 2) B)
(+.f64 (/.f64 (pow.f64 A 2) B) (.f64 -2 (/.f64 (.f64 A C) B)))
(+.f64 (/.f64 (pow.f64 A 2) B) (+.f64 (.f64 -2 (/.f64 (.f64 A C) B)) (/.f64 (pow.f64 C 2) B)))
(+.f64 (/.f64 (pow.f64 A 2) B) (+.f64 (.f64 -2 (/.f64 (.f64 A C) B)) (/.f64 (pow.f64 C 2) B)))
(/.f64 (pow.f64 C 2) B)
(+.f64 (.f64 -2 (/.f64 (.f64 A C) B)) (/.f64 (pow.f64 C 2) B))
(+.f64 (/.f64 (pow.f64 A 2) B) (+.f64 (.f64 -2 (/.f64 (.f64 A C) B)) (/.f64 (pow.f64 C 2) B)))
(+.f64 (/.f64 (pow.f64 A 2) B) (+.f64 (.f64 -2 (/.f64 (.f64 A C) B)) (/.f64 (pow.f64 C 2) B)))
(/.f64 (pow.f64 C 2) B)
(+.f64 (.f64 -2 (/.f64 (.f64 A C) B)) (/.f64 (pow.f64 C 2) B))
(+.f64 (/.f64 (pow.f64 A 2) B) (+.f64 (.f64 -2 (/.f64 (.f64 A C) B)) (/.f64 (pow.f64 C 2) B)))
(+.f64 (/.f64 (pow.f64 A 2) B) (+.f64 (.f64 -2 (/.f64 (.f64 A C) B)) (/.f64 (pow.f64 C 2) B)))
(.f64 -1 (/.f64 (+.f64 A (+.f64 (.f64 1/2 (/.f64 (pow.f64 A 2) B)) B)) B))
(+.f64 (.f64 (-.f64 (/.f64 1 B) (.f64 -1 (/.f64 A (pow.f64 B 2)))) C) (.f64 -1 (/.f64 (+.f64 A (+.f64 (.f64 1/2 (/.f64 (pow.f64 A 2) B)) B)) B)))
(+.f64 (.f64 (-.f64 (/.f64 1 B) (.f64 -1 (/.f64 A (pow.f64 B 2)))) C) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 C 2) (pow.f64 B 2))) (.f64 -1 (/.f64 (+.f64 A (+.f64 (*.f64 1/2 (/.f64 (pow.f64 A 2) B)) B)) B))))
(+.f64 (.f64 (-.f64 (/.f64 1 B) (.f64 -1 (/.f64 A (pow.f64 B 2)))) C) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 C 2) (pow.f64 B 2))) (.f64 -1 (/.f64 (+.f64 A (+.f64 (*.f64 1/2 (/.f64 (pow.f64 A 2) B)) B)) B))))
(*.f64 -1/2 (/.f64 (pow.f64 C 2) (pow.f64 B 2)))
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(.f64 -1 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (.f64 (pow.f64 (-.f64 A C) 2) (/.f64 1/2 B)) (+.f64 B A))) B)) (neg.f64 (PI.f64))))
(.f64 (/.f64 1/2 (PI.f64)) (.f64 2 (atan.f64 (/.f64 (-.f64 C (+.f64 (*.f64 (pow.f64 (-.f64 A C) 2) (/.f64 1/2 B)) (+.f64 B A))) B))))
(.f64 (.f64 1/2 (/.f64 1 (PI.f64))) (.f64 2 (atan.f64 (/.f64 (-.f64 C (+.f64 (.f64 (pow.f64 (-.f64 A C) 2) (/.f64 1/2 B)) (+.f64 B A))) B))))
(.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (.f64 (pow.f64 (-.f64 A C) 2) (/.f64 1/2 B)) (+.f64 B A))) B)) (neg.f64 (PI.f64))) -1)
(.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (.f64 (pow.f64 (-.f64 A C) 2) (/.f64 1/2 B)) (+.f64 B A))) B)) (*.f64 2 (PI.f64))) 2)
(.f64 (/.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (.f64 (pow.f64 (-.f64 A C) 2) (/.f64 1/2 B)) (+.f64 B A))) B)) (PI.f64)) 2) 2)
(.f64 (/.f64 1 (.f64 (PI.f64) 4)) (.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (.f64 (pow.f64 (-.f64 A C) 2) (/.f64 1/2 B)) (+.f64 B A))) B)) 4))
(.f64 (/.f64 -1 (PI.f64)) (neg.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (.f64 (pow.f64 (-.f64 A C) 2) (/.f64 1/2 B)) (+.f64 B A))) B))))
(neg.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (*.f64 (pow.f64 (-.f64 A C) 2) (/.f64 1/2 B)) (+.f64 B A))) B)) (neg.f64 (PI.f64))))

Outputs
(/.f64 (pow.f64 C 2) B)
(+.f64 (.f64 -2 (/.f64 (.f64 A C) B)) (/.f64 (pow.f64 C 2) B))
(+.f64 (/.f64 (pow.f64 C 2) B) (.f64 -2 (/.f64 (.f64 C A) B)))
(+.f64 (/.f64 (pow.f64 C 2) B) (.f64 C (.f64 -2 (/.f64 A B))))
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(+.f64 (/.f64 (pow.f64 A 2) B) (+.f64 (.f64 -2 (/.f64 (.f64 A C) B)) (/.f64 (pow.f64 C 2) B)))
(+.f64 (.f64 -2 (/.f64 (.f64 C A) B)) (+.f64 (/.f64 (pow.f64 C 2) B) (/.f64 (pow.f64 A 2) B)))
(+.f64 (/.f64 (pow.f64 C 2) B) (+.f64 (.f64 C (.f64 -2 (/.f64 A B))) (/.f64 (pow.f64 A 2) B)))
(+.f64 (/.f64 (pow.f64 C 2) B) (+.f64 (.f64 -2 (.f64 A (/.f64 C B))) (/.f64 (pow.f64 A 2) B)))
(+.f64 (/.f64 (pow.f64 A 2) B) (+.f64 (.f64 -2 (/.f64 (.f64 A C) B)) (/.f64 (pow.f64 C 2) B)))
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(+.f64 (/.f64 (pow.f64 C 2) B) (+.f64 (.f64 -2 (.f64 A (/.f64 C B))) (/.f64 (pow.f64 A 2) B)))
(/.f64 (pow.f64 A 2) B)
(+.f64 (/.f64 (pow.f64 A 2) B) (.f64 -2 (/.f64 (.f64 A C) B)))
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(/.f64 (pow.f64 A 2) B)
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(/.f64 (pow.f64 A 2) B)
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(/.f64 (pow.f64 C 2) B)
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(/.f64 (pow.f64 C 2) B)
(+.f64 (.f64 -2 (/.f64 (.f64 A C) B)) (/.f64 (pow.f64 C 2) B))
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(.f64 -1 (/.f64 (+.f64 A (+.f64 (.f64 1/2 (/.f64 (pow.f64 A 2) B)) B)) B))
(.f64 -1 (/.f64 (+.f64 A (+.f64 B (.f64 (/.f64 (pow.f64 A 2) B) 1/2))) B))
(neg.f64 (/.f64 (+.f64 B (+.f64 (*.f64 (/.f64 (pow.f64 A 2) B) 1/2) A)) B))
(neg.f64 (/.f64 (+.f64 B (+.f64 A (*.f64 (/.f64 (pow.f64 A 2) B) 1/2))) B))
(/.f64 (+.f64 B (+.f64 A (*.f64 (/.f64 (pow.f64 A 2) B) 1/2))) (neg.f64 B))
(/.f64 (+.f64 (*.f64 (/.f64 (pow.f64 A 2) B) 1/2) (+.f64 B A)) (neg.f64 B))
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(+.f64 (.f64 -1 (/.f64 (+.f64 A (+.f64 B (.f64 (/.f64 (pow.f64 A 2) B) 1/2))) B)) (.f64 C (-.f64 (/.f64 1 B) (.f64 -1 (/.f64 A (pow.f64 B 2))))))
(+.f64 (neg.f64 (/.f64 (+.f64 B (+.f64 (.f64 (/.f64 (pow.f64 A 2) B) 1/2) A)) B)) (.f64 C (-.f64 (/.f64 1 B) (neg.f64 (/.f64 A (pow.f64 B 2))))))
(+.f64 (neg.f64 (/.f64 (+.f64 B (+.f64 A (.f64 (/.f64 (pow.f64 A 2) B) 1/2))) B)) (.f64 C (-.f64 (/.f64 1 B) (neg.f64 (/.f64 A (pow.f64 B 2))))))
(+.f64 (/.f64 (+.f64 B (+.f64 A (.f64 (/.f64 (pow.f64 A 2) B) 1/2))) (neg.f64 B)) (.f64 C (-.f64 (/.f64 1 B) (/.f64 (neg.f64 A) (pow.f64 B 2)))))
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(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (+.f64 B A))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (+.f64 A (*.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B))))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (*.f64 (pow.f64 (-.f64 A C) 2) (/.f64 1/2 B)) (+.f64 B A))) B)) (PI.f64))
(.f64 (/.f64 1 (.f64 (PI.f64) 4)) (.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (.f64 (pow.f64 (-.f64 A C) 2) (/.f64 1/2 B)) (+.f64 B A))) B)) 4))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (+.f64 B A))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (+.f64 A (*.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B))))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (*.f64 (pow.f64 (-.f64 A C) 2) (/.f64 1/2 B)) (+.f64 B A))) B)) (PI.f64))
(.f64 (/.f64 -1 (PI.f64)) (neg.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (.f64 (pow.f64 (-.f64 A C) 2) (/.f64 1/2 B)) (+.f64 B A))) B))))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (+.f64 B A))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (+.f64 A (*.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B))))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (*.f64 (pow.f64 (-.f64 A C) 2) (/.f64 1/2 B)) (+.f64 B A))) B)) (PI.f64))
(neg.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (*.f64 (pow.f64 (-.f64 A C) 2) (/.f64 1/2 B)) (+.f64 B A))) B)) (neg.f64 (PI.f64))))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) (+.f64 B A))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (+.f64 A (*.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B))))) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (*.f64 (pow.f64 (-.f64 A C) 2) (/.f64 1/2 B)) (+.f64 B A))) B)) (PI.f64))

localize65.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)) B)) (PI.f64)))
	7.5b	(/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)
	16.5b	(-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))
✓	16.9b	(/.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)) B)

Compiler

Compiled 153 to 102 computations (33.3% saved)

series7.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	B	@	-inf	(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)) B)) (PI.f64)))
1.0ms	B	@	-inf	(/.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)) B)
0.0ms	B	@	0	(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)) B)) (PI.f64)))
0.0ms	C	@	inf	(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)) B)) (PI.f64)))
0.0ms	A	@	-inf	(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)) B)) (PI.f64)))

rewrite84.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1742×	`bool.json-1`
1742×	`bool.json-2`
1702×	`rational.json-1`
1702×	`rational.json-2`
1382×	`bool.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	124
1	230	124
2	631	124
3	1561	124
4	4808	124

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

Inputs

(/.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)) B)

(*.f64 180 (/.f64 (atan.f64 (/.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)) B)) (PI.f64)))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 180 (/.f64 (atan.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)))) (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 180 (/.f64 (atan.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)))) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 180 (/.f64 (atan.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)))) (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 180 (/.f64 (atan.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)))) (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (atan.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)))) (PI.f64)) 360) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 180 (/.f64 (atan.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)))) (PI.f64))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 180 (/.f64 (atan.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)))) (PI.f64))) 4) (*.f64 (*.f64 180 (/.f64 (atan.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)))) (PI.f64))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 180 (/.f64 (atan.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)))) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 180 (/.f64 (atan.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)))) (PI.f64))) (*.f64 180 (/.f64 (atan.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)))) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 180 (/.f64 (atan.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)))) (PI.f64))) (*.f64 180 (/.f64 (atan.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)))) (PI.f64))))))))

simplify226.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1094×	`rational.json-simplify-44`
1076×	`rational.json-simplify-49`
1068×	`rational.json-simplify-47`
1006×	`rational.json-simplify-35`
950×	`rational.json-simplify-53`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	154	6012
1	348	6012
2	737	6012
3	1747	6012
4	5307	6012
5	6448	6012
6	7659	6012

Stop Event

1×	node limit

Counts

126 → 59

Calls

Call 1

Inputs
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
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(*.f64 -1/2 (/.f64 B C))
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(+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C))) 0)
(+.f64 0 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C))))
(-.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C))) 0)
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(.f64 2 (/.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C))) 2))
(*.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (/.f64 (/.f64 -1/2 B) C))
(.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 (/.f64 (/.f64 -1/2 B) C) 1))
(.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 (*.f64 -1/2 (/.f64 1 C)) (/.f64 1 B)))
(.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (/.f64 (/.f64 1 C) (.f64 B -2)))
(*.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C) (/.f64 -1/2 B))
(.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C) (.f64 (/.f64 1 B) -1/2))
(.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C) (.f64 -1/2 (/.f64 1 B)))
(.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)) (/.f64 1 B))
(.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C))) 1)
(.f64 1 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C))))
(.f64 -1 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 C (+.f64 B B))))
(.f64 -1 (.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 C (+.f64 B B))) 1))
(.f64 -1 (.f64 (*.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (/.f64 1/2 C)) (/.f64 1 B)))
(.f64 -1 (/.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)) (neg.f64 B)))
(*.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)) (/.f64 1/2 B))
(.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)) (.f64 (/.f64 1/2 B) 1))
(.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)) (.f64 1/2 (/.f64 1 B)))
(.f64 (.f64 2 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2)))) (*.f64 (/.f64 1/2 C) (/.f64 -1/2 B)))
(*.f64 (/.f64 -1/2 B) (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C))
(.f64 (.f64 2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)) (/.f64 -1/4 B))
(.f64 (.f64 2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)) (*.f64 (/.f64 -1/4 B) 1))
(.f64 (.f64 2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)) (*.f64 -1/4 (/.f64 1 B)))
(*.f64 (/.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)) B) 1/2)
(.f64 (.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C) -2) (/.f64 1 (*.f64 B 4)))
(.f64 (/.f64 1 C) (.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) B) -1/2))
(.f64 (/.f64 1 C) (.f64 (/.f64 -1/2 B) (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2)))))
(.f64 (/.f64 1 C) (.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (/.f64 -1/2 B)))
(.f64 (/.f64 1 C) (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B -2)))
(.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)) -1/2)
(.f64 (/.f64 1 B) (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)))
(*.f64 1/2 (/.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)) B))
(.f64 (.f64 2 (/.f64 -1/2 B)) (*.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (/.f64 1/2 C)))
(.f64 (.f64 -1/2 (/.f64 1 C)) (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) B))
(*.f64 (/.f64 (/.f64 -1/2 B) C) (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))))
(.f64 (/.f64 1/2 C) (/.f64 (.f64 2 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2)))) (*.f64 B -2)))
(.f64 -1/4 (.f64 2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C))))
(.f64 (.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (/.f64 1/2 C)) (/.f64 -1 B))
(.f64 (.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (/.f64 1/2 C)) (/.f64 1 (neg.f64 B)))
(.f64 (/.f64 -1/4 B) (.f64 2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)))
(.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 C (+.f64 B B))) -1)
(*.f64 (/.f64 1/2 B) (neg.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)))
(+.f64 (.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)))) (PI.f64))) 0)
(+.f64 0 (.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)))) (PI.f64))))
(-.f64 (.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)))) (PI.f64))) 0)
(/.f64 (.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)))) (PI.f64))) 1)
(/.f64 (.f64 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)))) (PI.f64)) 360) 2)
(/.f64 (.f64 (.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)))) (PI.f64))) 4) 4)
(/.f64 (+.f64 (.f64 (.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)))) (PI.f64))) 4) (.f64 (.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)))) (PI.f64))) 4)) 8)

Outputs
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(*.f64 -1/2 (/.f64 B C))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (neg.f64 A) 2)) (*.f64 C B)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (neg.f64 A) 2)) (*.f64 B C)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (neg.f64 A) 2)) (*.f64 C B)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (neg.f64 A) 2)) (*.f64 B C)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (neg.f64 A) 2)) (*.f64 C B)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (neg.f64 A) 2)) (*.f64 B C)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)))) (PI.f64)))
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(.f64 2 (/.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C))) 2))
(.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)))
(*.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (/.f64 (/.f64 -1/2 B) C))
(.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)))
(.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 (/.f64 (/.f64 -1/2 B) C) 1))
(.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)))
(.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 (*.f64 -1/2 (/.f64 1 C)) (/.f64 1 B)))
(.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)))
(.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (/.f64 (/.f64 1 C) (.f64 B -2)))
(.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)))
(*.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C) (/.f64 -1/2 B))
(.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)))
(.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C) (.f64 (/.f64 1 B) -1/2))
(.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)))
(.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C) (.f64 -1/2 (/.f64 1 B)))
(.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)))
(.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)) (/.f64 1 B))
(.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)))
(.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C))) 1)
(.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)))
(.f64 1 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C))))
(.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)))
(.f64 -1 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 C (+.f64 B B))))
(.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)))
(.f64 -1 (.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 C (+.f64 B B))) 1))
(.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)))
(.f64 -1 (.f64 (*.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (/.f64 1/2 C)) (/.f64 1 B)))
(.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)))
(.f64 -1 (/.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)) (neg.f64 B)))
(.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)))
(*.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)) (/.f64 1/2 B))
(.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)))
(.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)) (.f64 (/.f64 1/2 B) 1))
(.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)))
(.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)) (.f64 1/2 (/.f64 1 B)))
(.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)))
(.f64 (.f64 2 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2)))) (*.f64 (/.f64 1/2 C) (/.f64 -1/2 B)))
(.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)))
(*.f64 (/.f64 -1/2 B) (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C))
(.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)))
(.f64 (.f64 2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)) (/.f64 -1/4 B))
(.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)))
(.f64 (.f64 2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)) (*.f64 (/.f64 -1/4 B) 1))
(.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)))
(.f64 (.f64 2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)) (*.f64 -1/4 (/.f64 1 B)))
(.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)))
(*.f64 (/.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)) B) 1/2)
(.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)))
(.f64 (.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C) -2) (/.f64 1 (*.f64 B 4)))
(.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)))
(.f64 (/.f64 1 C) (.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) B) -1/2))
(.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)))
(.f64 (/.f64 1 C) (.f64 (/.f64 -1/2 B) (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2)))))
(.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)))
(.f64 (/.f64 1 C) (.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (/.f64 -1/2 B)))
(.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)))
(.f64 (/.f64 1 C) (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B -2)))
(.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)))
(.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)) -1/2)
(.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)))
(.f64 (/.f64 1 B) (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)))
(.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)))
(*.f64 1/2 (/.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)) B))
(.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)))
(.f64 (.f64 2 (/.f64 -1/2 B)) (*.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (/.f64 1/2 C)))
(.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)))
(.f64 (.f64 -1/2 (/.f64 1 C)) (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) B))
(.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)))
(*.f64 (/.f64 (/.f64 -1/2 B) C) (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))))
(.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)))
(.f64 (/.f64 1/2 C) (/.f64 (.f64 2 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2)))) (*.f64 B -2)))
(.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)))
(.f64 -1/4 (.f64 2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C))))
(.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)))
(.f64 (.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (/.f64 1/2 C)) (/.f64 -1 B))
(.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)))
(.f64 (.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (/.f64 1/2 C)) (/.f64 1 (neg.f64 B)))
(.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)))
(.f64 (/.f64 -1/4 B) (.f64 2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)))
(.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)))
(.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 C (+.f64 B B))) -1)
(.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)))
(*.f64 (/.f64 1/2 B) (neg.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)))
(.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)))
(+.f64 (.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)))) (PI.f64))) 0)
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (neg.f64 A) 2)) (*.f64 B C)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)))) (PI.f64)))
(+.f64 0 (.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)))) (PI.f64))))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (neg.f64 A) 2)) (*.f64 B C)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)))) (PI.f64)))
(-.f64 (.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)))) (PI.f64))) 0)
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (neg.f64 A) 2)) (*.f64 B C)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)))) (PI.f64)))
(/.f64 (.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)))) (PI.f64))) 1)
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (neg.f64 A) 2)) (*.f64 B C)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)))) (PI.f64)))
(/.f64 (.f64 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)))) (PI.f64)) 360) 2)
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (neg.f64 A) 2)) (*.f64 B C)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)))) (PI.f64)))
(/.f64 (.f64 (.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)))) (PI.f64))) 4) 4)
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (neg.f64 A) 2)) (*.f64 B C)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)))) (PI.f64)))
(/.f64 (+.f64 (.f64 (.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)))) (PI.f64))) 4) (.f64 (.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)))) (PI.f64))) 4)) 8)
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (neg.f64 A) 2)) (*.f64 B C)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)))) (PI.f64)))

eval656.0ms (2.4%)

Compiler: Compiled 16294 to 10472 computations (35.7% saved)

prune262.0ms (1%)

Pruning

29 alts after pruning (24 fresh and 5 done)

	Pruned	Kept	Total
New	681	10	691
Fresh	2	14	16
Picked	1	0	1
Done	2	5	7
Total	686	29	715

Error

0.4b

Counts

715 → 29

Alt Table

Click to see full alt table

Status	Error	Program
✓	29.8b	(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (PI.f64)))
✓	30.8b	(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) B)) (PI.f64)))
▶	32.3b	(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) B) B)) (PI.f64)))
	34.7b	(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) B)) (PI.f64)))
▶	45.7b	(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (.f64 1/2 (/.f64 (pow.f64 C 2) B)) B)) B)) (PI.f64)))
	37.7b	(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C B) B)) (PI.f64)))
	37.6b	(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 B A) B)) (PI.f64)))
	45.5b	(.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 (.f64 (/.f64 (pow.f64 A 2) B) 1/2) (+.f64 B A)) (neg.f64 B))) (PI.f64)))
	53.3b	(.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 (neg.f64 (+.f64 A (neg.f64 A))) (.f64 -1/2 (+.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C) (*.f64 A (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (pow.f64 C 2)))))) B)) (PI.f64)))
▶	37.8b	(*.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64)))
	48.3b	(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 A -2) B)) (PI.f64)))
	48.7b	(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 2 C) B)) (PI.f64)))
	51.3b	(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 1/2 (/.f64 (pow.f64 B 2) A)) B)) (PI.f64)))
	49.0b	(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 -1/2 (/.f64 (pow.f64 B 2) C)) B)) (PI.f64)))
	48.5b	(*.f64 180 (/.f64 (atan.f64 (/.f64 (neg.f64 A) B)) (PI.f64)))
▶	48.7b	(*.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)))
	45.8b	(.f64 180 (/.f64 (atan.f64 (+.f64 (+.f64 (.f64 -1/2 (/.f64 B (-.f64 A C))) (.f64 1/8 (/.f64 (pow.f64 B 3) (pow.f64 (-.f64 A C) 3)))) (.f64 2 (-.f64 (/.f64 C B) (/.f64 A B))))) (PI.f64)))
	55.6b	(.f64 180 (/.f64 (atan.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 B (/.f64 C (pow.f64 A 2))) (/.f64 B A))) (.f64 -1/2 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 B 2) 1/2) 2) (.f64 (pow.f64 C 2) (neg.f64 (pow.f64 B 2)))) (pow.f64 A 3)) B)))) (PI.f64)))
	55.9b	(.f64 180 (/.f64 (atan.f64 (+.f64 (.f64 -1/2 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 B 2) 1/2) 2) (.f64 (pow.f64 B 2) (neg.f64 (pow.f64 C 2)))) (pow.f64 A 3)) B)) (.f64 1/2 (+.f64 (/.f64 (/.f64 (.f64 C (+.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (pow.f64 B 2) 1/2) 2) (.f64 (pow.f64 B 2) (neg.f64 (pow.f64 C 2))))) (.f64 -1/2 (pow.f64 B 4)))) (pow.f64 A 4)) B) (+.f64 (.f64 B (/.f64 C (pow.f64 A 2))) (/.f64 B A)))))) (PI.f64)))
	41.4b	(.f64 180 (/.f64 (atan.f64 (+.f64 (.f64 -1/2 (/.f64 B (-.f64 A C))) (*.f64 2 (-.f64 (/.f64 C B) (/.f64 A B))))) (PI.f64)))
	53.3b	(.f64 180 (/.f64 (atan.f64 (+.f64 (neg.f64 (/.f64 (+.f64 A (neg.f64 A)) B)) (.f64 -1/2 (+.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)) (.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (/.f64 A (*.f64 B (pow.f64 C 2)))))))) (PI.f64)))
▶	53.0b	(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)) -1/2)) (PI.f64)))
	49.0b	(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 1 B) (+.f64 (neg.f64 (+.f64 A (neg.f64 A))) (*.f64 -1/2 (/.f64 (pow.f64 B 2) C))))) (PI.f64)))
	55.2b	(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 A 2) C) B) (/.f64 A B)) (*.f64 (/.f64 (/.f64 (pow.f64 A 2) C) B) (/.f64 A B))))) (PI.f64)))
	49.1b	(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (/.f64 B A))) (PI.f64)))
✓	45.4b	(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (+.f64 (*.f64 B (/.f64 C (pow.f64 A 2))) (/.f64 B A)))) (PI.f64)))
	47.3b	(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 B C))) (PI.f64)))
✓	49.5b	(*.f64 180 (/.f64 (atan.f64 1) (PI.f64)))
✓	50.2b	(*.f64 180 (/.f64 (atan.f64 -1) (PI.f64)))

Compiler

Compiled 1291 to 993 computations (23.1% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 (-.f64 C A) B) B)
✓	0.0b	(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) B) B)) (PI.f64))
✓	0.0b	(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) B) B)) (PI.f64)))

Compiler

Compiled 53 to 12 computations (77.4% saved)

series21.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
13.0ms	B	@	inf	(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) B) B)) (PI.f64)))
1.0ms	B	@	-inf	(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) B) B)) (PI.f64)))
1.0ms	C	@	-inf	(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) B) B)) (PI.f64)))
1.0ms	A	@	-inf	(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) B) B)) (PI.f64)))
1.0ms	C	@	0	(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) B) B)) (PI.f64)))

rewrite103.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1028×	`rational.json-simplify-35`
894×	`bool.json-1`
894×	`bool.json-2`
864×	`rational.json-1`
864×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	87
1	149	87
2	422	87
3	1018	87
4	2602	87
5	7483	87

Stop Event

1×	node limit

Counts

3 → 58

Calls

Call 1

Inputs
(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) B) B)) (PI.f64)))
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) B) B)) (PI.f64))
(/.f64 (-.f64 (-.f64 C A) B) B)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) (PI.f64)) 360) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) (PI.f64)) 720) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) (PI.f64)) 720)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) (PI.f64)) 720)) (*.f64 2 (*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) (PI.f64)) 720))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) (PI.f64))) (*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) (PI.f64))) (*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) (PI.f64))))))))

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

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

simplify173.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1434×	`rational.json-simplify-35`
984×	`rational.json-simplify-1`
982×	`rational.json-simplify-2`
770×	`rational.json-simplify-51`
640×	`rational.json-simplify-41`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	155	5276
1	309	5170
2	587	5170
3	1149	5170
4	3022	5122
5	5772	5122
6	6668	5122

Stop Event

1×	node limit

Counts

166 → 106

Calls

Call 1

Inputs
(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1 (/.f64 (+.f64 A (+.f64 (*.f64 -1 C) B)) B))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1 (/.f64 (+.f64 A (+.f64 (*.f64 -1 C) B)) B))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1 (/.f64 (+.f64 A (+.f64 (*.f64 -1 C) B)) B))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1 (/.f64 (+.f64 A (+.f64 (*.f64 -1 C) B)) B))) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (+.f64 C (.f64 -1 A)) B) B)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (+.f64 C (.f64 -1 A)) B) B)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (+.f64 C (.f64 -1 A)) B) B)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (+.f64 C (.f64 -1 A)) B) B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (+.f64 C (.f64 -1 B)) A) B)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (+.f64 C (.f64 -1 B)) A) B)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (+.f64 C (.f64 -1 B)) A) B)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (+.f64 C (.f64 -1 B)) A) B)) (PI.f64)))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) (PI.f64))
(/.f64 (atan.f64 (.f64 -1 (/.f64 (+.f64 A (+.f64 (.f64 -1 C) B)) B))) (PI.f64))
(/.f64 (atan.f64 (.f64 -1 (/.f64 (+.f64 A (+.f64 (.f64 -1 C) B)) B))) (PI.f64))
(/.f64 (atan.f64 (.f64 -1 (/.f64 (+.f64 A (+.f64 (.f64 -1 C) B)) B))) (PI.f64))
(/.f64 (atan.f64 (.f64 -1 (/.f64 (+.f64 A (+.f64 (.f64 -1 C) B)) B))) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) (PI.f64))
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(*.f64 (/.f64 (+.f64 A (-.f64 B C)) B) -1)
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Outputs
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(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) (PI.f64)))
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(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) (PI.f64)))
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(.f64 (.f64 (-.f64 C (+.f64 A B)) 2) (*.f64 (/.f64 1 B) 1/2))
(*.f64 (-.f64 C (+.f64 A B)) (/.f64 1 B))
(*.f64 2 (/.f64 (-.f64 C (+.f64 A B)) (+.f64 B B)))
(.f64 2 (.f64 (/.f64 1/2 B) (-.f64 C (+.f64 A B))))
(.f64 (-.f64 C (+.f64 A B)) (.f64 2 (/.f64 1/2 B)))
(.f64 (.f64 (-.f64 C (+.f64 A B)) (/.f64 2 B)) 1/2)
(.f64 (-.f64 C (+.f64 A B)) (.f64 (/.f64 2 B) 1/2))
(.f64 (-.f64 C (+.f64 A B)) (.f64 1/2 (/.f64 2 B)))
(.f64 (.f64 (-.f64 C (+.f64 A B)) 4) (/.f64 (/.f64 1 B) 4))
(.f64 (-.f64 C (+.f64 A B)) (.f64 4 (/.f64 1/4 B)))
(*.f64 (+.f64 A (-.f64 B C)) (/.f64 -1 B))
(*.f64 (/.f64 1 B) (-.f64 C (+.f64 A B)))
(*.f64 (-.f64 C (+.f64 A B)) (/.f64 1 B))
(*.f64 -1 (/.f64 (+.f64 A (-.f64 B C)) B))
(neg.f64 (/.f64 (+.f64 A (-.f64 B C)) B))
(/.f64 (+.f64 A (-.f64 B C)) (neg.f64 B))
(.f64 1/2 (.f64 (-.f64 C (+.f64 A B)) (/.f64 2 B)))
(.f64 (-.f64 C (+.f64 A B)) (.f64 (/.f64 2 B) 1/2))
(.f64 (-.f64 C (+.f64 A B)) (.f64 1/2 (/.f64 2 B)))
(.f64 (/.f64 1/2 B) (.f64 (-.f64 C (+.f64 A B)) 2))
(.f64 (-.f64 C (+.f64 A B)) (.f64 2 (/.f64 1/2 B)))
(.f64 (.f64 (/.f64 1 B) 1/2) (*.f64 (-.f64 C (+.f64 A B)) 2))
(*.f64 (-.f64 C (+.f64 A B)) (/.f64 1 B))
(*.f64 (/.f64 (+.f64 A (-.f64 B C)) B) -1)
(neg.f64 (/.f64 (+.f64 A (-.f64 B C)) B))
(/.f64 (+.f64 A (-.f64 B C)) (neg.f64 B))
(*.f64 (/.f64 (-.f64 C (+.f64 A B)) (+.f64 B B)) 2)
(*.f64 2 (/.f64 (-.f64 C (+.f64 A B)) (+.f64 B B)))
(.f64 (/.f64 (/.f64 1 B) 4) (.f64 (-.f64 C (+.f64 A B)) 4))
(.f64 (-.f64 C (+.f64 A B)) (.f64 4 (/.f64 1/4 B)))
(*.f64 (/.f64 -1 B) (+.f64 A (-.f64 B C)))
(*.f64 (+.f64 A (-.f64 B C)) (/.f64 -1 B))
(neg.f64 (/.f64 (+.f64 A (-.f64 B C)) B))
(/.f64 (+.f64 A (-.f64 B C)) (neg.f64 B))

localize11.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(atan.f64 (/.f64 C B))
✓	0.1b	(/.f64 (atan.f64 (/.f64 C B)) (PI.f64))
✓	0.1b	(*.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)))

Compiler

Compiled 28 to 10 computations (64.3% saved)

series6.0ms (0%)

Counts

3 → 0

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	B	@	-inf	(*.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)))
1.0ms	C	@	0	(*.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)))
1.0ms	C	@	inf	(*.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)))
1.0ms	C	@	-inf	(*.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)))
1.0ms	B	@	inf	(*.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)))

rewrite99.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

944×	`rational.json-simplify-35`
880×	`rational.json-simplify-61`
830×	`rational.json-simplify-1`
770×	`bool.json-1`
770×	`bool.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	55
1	120	55
2	346	55
3	826	55
4	2205	55
5	6810	55

Stop Event

1×	node limit

Counts

3 → 74

Calls

Call 1

Inputs
(*.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)))
(/.f64 (atan.f64 (/.f64 C B)) (PI.f64))
(atan.f64 (/.f64 C B))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) 2) (/.f64 (*.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)) 360) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)) 720) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)) 720)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)) 720))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) (*.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) (*.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))))))))

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

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

simplify133.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1224×	`rational.json-simplify-51`
1030×	`rational.json-simplify-35`
944×	`rational.json-simplify-1`
878×	`rational.json-simplify-52`
824×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	138	1244
1	291	1244
2	804	1244
3	2024	1244
4	4471	1244
5	5451	1244
6	6397	1244

Stop Event

1×	node limit

Counts

74 → 77

Calls

Call 1

Inputs
(+.f64 (*.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) 0)
(+.f64 0 (*.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))))
(+.f64 (/.f64 (.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) 2) (/.f64 (.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) 2))
(-.f64 (*.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) 0)
(/.f64 (*.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) 1)
(/.f64 (*.f64 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)) 360) 2)
(/.f64 (*.f64 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)) 720) 4)
(/.f64 (.f64 2 (.f64 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)) 720)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)) 720))) 16)
(+.f64 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)) 0)
(+.f64 0 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 (atan.f64 (/.f64 C B))) (PI.f64))))
(+.f64 (/.f64 (atan.f64 (/.f64 C B)) (.f64 (PI.f64) 2)) (/.f64 (atan.f64 (/.f64 C B)) (.f64 (PI.f64) 2)))
(-.f64 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)) 0)
(-.f64 0 (/.f64 (neg.f64 (atan.f64 (/.f64 C B))) (PI.f64)))
(*.f64 (atan.f64 (/.f64 C B)) (/.f64 1 (PI.f64)))
(.f64 (atan.f64 (/.f64 C B)) (.f64 (*.f64 2 (/.f64 1 (PI.f64))) 1/2))
(.f64 (atan.f64 (/.f64 C B)) (.f64 (/.f64 2 (PI.f64)) 1/2))
(*.f64 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)) 1)
(*.f64 1 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)))
(.f64 (.f64 (atan.f64 (/.f64 C B)) 2) (/.f64 1/2 (PI.f64)))
(.f64 (.f64 (atan.f64 (/.f64 C B)) 2) (*.f64 (/.f64 1 (PI.f64)) 1/2))
(.f64 (.f64 (atan.f64 (/.f64 C B)) 2) (.f64 (.f64 (/.f64 1 (PI.f64)) 1/2) 1))
(.f64 2 (/.f64 (atan.f64 (/.f64 C B)) (.f64 (PI.f64) 2)))
(.f64 2 (.f64 (/.f64 (atan.f64 (/.f64 C B)) (*.f64 (PI.f64) 2)) 1))
(.f64 2 (.f64 (/.f64 (atan.f64 (/.f64 C B)) 2) (/.f64 1 (PI.f64))))
(.f64 2 (.f64 (atan.f64 (/.f64 C B)) (/.f64 1/2 (PI.f64))))
(.f64 2 (.f64 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)) 1/2))
(.f64 2 (.f64 (/.f64 1/2 (PI.f64)) (atan.f64 (/.f64 C B))))
(.f64 (.f64 (atan.f64 (/.f64 C B)) (/.f64 2 (PI.f64))) 1/2)
(.f64 (.f64 (atan.f64 (/.f64 C B)) 4) (/.f64 (/.f64 1 (PI.f64)) 4))
(.f64 (.f64 (atan.f64 (/.f64 C B)) 4) (*.f64 (/.f64 (/.f64 1 (PI.f64)) 4) 1))
(.f64 (.f64 (atan.f64 (/.f64 C B)) 4) (*.f64 1/4 (/.f64 1 (PI.f64))))
(.f64 (.f64 (atan.f64 (/.f64 C B)) 4) (*.f64 1/2 (/.f64 1/2 (PI.f64))))
(*.f64 (/.f64 1 (PI.f64)) (atan.f64 (/.f64 C B)))
(*.f64 (neg.f64 (atan.f64 (/.f64 C B))) (/.f64 -1 (PI.f64)))
(.f64 (neg.f64 (atan.f64 (/.f64 C B))) (.f64 (/.f64 -1 (PI.f64)) 1))
(*.f64 -1 (/.f64 (neg.f64 (atan.f64 (/.f64 C B))) (PI.f64)))
(.f64 -1 (.f64 (/.f64 (neg.f64 (atan.f64 (/.f64 C B))) (PI.f64)) 1))
(.f64 (/.f64 1/2 (PI.f64)) (.f64 (atan.f64 (/.f64 C B)) 2))
(.f64 1/2 (.f64 (atan.f64 (/.f64 C B)) (/.f64 2 (PI.f64))))
(.f64 (.f64 (/.f64 1 (PI.f64)) 1/2) (*.f64 (atan.f64 (/.f64 C B)) 2))
(*.f64 (/.f64 (neg.f64 (atan.f64 (/.f64 C B))) (PI.f64)) -1)
(.f64 (/.f64 (atan.f64 (/.f64 C B)) (.f64 (PI.f64) 2)) 2)
(.f64 (/.f64 (/.f64 1 (PI.f64)) 4) (.f64 (atan.f64 (/.f64 C B)) 4))
(*.f64 (/.f64 -1 (PI.f64)) (neg.f64 (atan.f64 (/.f64 C B))))
(neg.f64 (/.f64 (neg.f64 (atan.f64 (/.f64 C B))) (PI.f64)))
(+.f64 (atan.f64 (/.f64 C B)) 0)
(+.f64 0 (atan.f64 (/.f64 C B)))
(+.f64 -1 (-.f64 1 (neg.f64 (atan.f64 (/.f64 C B)))))
(+.f64 (/.f64 (atan.f64 (/.f64 C B)) 2) (/.f64 (atan.f64 (/.f64 C B)) 2))
(+.f64 (-.f64 1 (neg.f64 (atan.f64 (/.f64 C B)))) -1)
(-.f64 (atan.f64 (/.f64 C B)) 0)
(-.f64 0 (neg.f64 (atan.f64 (/.f64 C B))))
(*.f64 (atan.f64 (/.f64 C B)) 1)
(*.f64 1 (atan.f64 (/.f64 C B)))
(.f64 (.f64 (atan.f64 (/.f64 C B)) 2) 1/2)
(*.f64 2 (/.f64 (atan.f64 (/.f64 C B)) 2))
(.f64 2 (.f64 (/.f64 (atan.f64 (/.f64 C B)) 2) 1))
(.f64 2 (.f64 (atan.f64 (/.f64 C B)) 1/2))
(.f64 (.f64 (atan.f64 (/.f64 C B)) 4) 1/4)
(*.f64 (neg.f64 (atan.f64 (/.f64 C B))) -1)
(*.f64 -1 (neg.f64 (atan.f64 (/.f64 C B))))
(.f64 1/2 (.f64 (atan.f64 (/.f64 C B)) 2))
(*.f64 (/.f64 (atan.f64 (/.f64 C B)) 2) 2)
(.f64 1/4 (.f64 (atan.f64 (/.f64 C B)) 4))
(/.f64 (atan.f64 (/.f64 C B)) 1)
(/.f64 (*.f64 (atan.f64 (/.f64 C B)) 2) 2)
(/.f64 (*.f64 (atan.f64 (/.f64 C B)) 4) 4)
(/.f64 (neg.f64 (atan.f64 (/.f64 C B))) -1)
(/.f64 (*.f64 (atan.f64 (/.f64 C B)) 8) 8)
(/.f64 (*.f64 (atan.f64 (/.f64 C B)) -2) -2)
(/.f64 (.f64 2 (.f64 (atan.f64 (/.f64 C B)) 8)) 16)
(neg.f64 (neg.f64 (atan.f64 (/.f64 C B))))

Outputs
(+.f64 (*.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) 0)
(*.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)))
(+.f64 0 (*.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))))
(*.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)))
(+.f64 (/.f64 (.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) 2) (/.f64 (.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) 2))
(*.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)))
(-.f64 (*.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) 0)
(*.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)))
(/.f64 (*.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) 1)
(*.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)))
(/.f64 (*.f64 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)) 360) 2)
(*.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)))
(/.f64 (*.f64 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)) 720) 4)
(*.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)))
(/.f64 (.f64 2 (.f64 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)) 720)) 8)
(*.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)) 720))) 16)
(*.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)))
(+.f64 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)) 0)
(/.f64 (atan.f64 (/.f64 C B)) (PI.f64))
(+.f64 0 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)))
(/.f64 (atan.f64 (/.f64 C B)) (PI.f64))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 (atan.f64 (/.f64 C B))) (PI.f64))))
(/.f64 (atan.f64 (/.f64 C B)) (PI.f64))
(+.f64 (/.f64 (atan.f64 (/.f64 C B)) (.f64 (PI.f64) 2)) (/.f64 (atan.f64 (/.f64 C B)) (.f64 (PI.f64) 2)))
(/.f64 (atan.f64 (/.f64 C B)) (PI.f64))
(-.f64 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)) 0)
(/.f64 (atan.f64 (/.f64 C B)) (PI.f64))
(-.f64 0 (/.f64 (neg.f64 (atan.f64 (/.f64 C B))) (PI.f64)))
(/.f64 (atan.f64 (/.f64 C B)) (PI.f64))
(*.f64 (atan.f64 (/.f64 C B)) (/.f64 1 (PI.f64)))
(/.f64 (atan.f64 (/.f64 C B)) (PI.f64))
(.f64 (atan.f64 (/.f64 C B)) (.f64 (*.f64 2 (/.f64 1 (PI.f64))) 1/2))
(/.f64 (atan.f64 (/.f64 C B)) (PI.f64))
(.f64 (atan.f64 (/.f64 C B)) (.f64 (/.f64 2 (PI.f64)) 1/2))
(/.f64 (atan.f64 (/.f64 C B)) (PI.f64))
(*.f64 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)) 1)
(/.f64 (atan.f64 (/.f64 C B)) (PI.f64))
(*.f64 1 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)))
(/.f64 (atan.f64 (/.f64 C B)) (PI.f64))
(.f64 (.f64 (atan.f64 (/.f64 C B)) 2) (/.f64 1/2 (PI.f64)))
(/.f64 (atan.f64 (/.f64 C B)) (PI.f64))
(.f64 (.f64 (atan.f64 (/.f64 C B)) 2) (*.f64 (/.f64 1 (PI.f64)) 1/2))
(/.f64 (atan.f64 (/.f64 C B)) (PI.f64))
(.f64 (.f64 (atan.f64 (/.f64 C B)) 2) (.f64 (.f64 (/.f64 1 (PI.f64)) 1/2) 1))
(/.f64 (atan.f64 (/.f64 C B)) (PI.f64))
(.f64 2 (/.f64 (atan.f64 (/.f64 C B)) (.f64 (PI.f64) 2)))
(/.f64 (atan.f64 (/.f64 C B)) (PI.f64))
(.f64 2 (.f64 (/.f64 (atan.f64 (/.f64 C B)) (*.f64 (PI.f64) 2)) 1))
(/.f64 (atan.f64 (/.f64 C B)) (PI.f64))
(.f64 2 (.f64 (/.f64 (atan.f64 (/.f64 C B)) 2) (/.f64 1 (PI.f64))))
(/.f64 (atan.f64 (/.f64 C B)) (PI.f64))
(.f64 2 (.f64 (atan.f64 (/.f64 C B)) (/.f64 1/2 (PI.f64))))
(/.f64 (atan.f64 (/.f64 C B)) (PI.f64))
(.f64 2 (.f64 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)) 1/2))
(/.f64 (atan.f64 (/.f64 C B)) (PI.f64))
(.f64 2 (.f64 (/.f64 1/2 (PI.f64)) (atan.f64 (/.f64 C B))))
(/.f64 (atan.f64 (/.f64 C B)) (PI.f64))
(.f64 (.f64 (atan.f64 (/.f64 C B)) (/.f64 2 (PI.f64))) 1/2)
(/.f64 (atan.f64 (/.f64 C B)) (PI.f64))
(.f64 (.f64 (atan.f64 (/.f64 C B)) 4) (/.f64 (/.f64 1 (PI.f64)) 4))
(/.f64 (atan.f64 (/.f64 C B)) (PI.f64))
(.f64 (.f64 (atan.f64 (/.f64 C B)) 4) (*.f64 (/.f64 (/.f64 1 (PI.f64)) 4) 1))
(/.f64 (atan.f64 (/.f64 C B)) (PI.f64))
(.f64 (.f64 (atan.f64 (/.f64 C B)) 4) (*.f64 1/4 (/.f64 1 (PI.f64))))
(/.f64 (atan.f64 (/.f64 C B)) (PI.f64))
(.f64 (.f64 (atan.f64 (/.f64 C B)) 4) (*.f64 1/2 (/.f64 1/2 (PI.f64))))
(/.f64 (atan.f64 (/.f64 C B)) (PI.f64))
(*.f64 (/.f64 1 (PI.f64)) (atan.f64 (/.f64 C B)))
(/.f64 (atan.f64 (/.f64 C B)) (PI.f64))
(*.f64 (neg.f64 (atan.f64 (/.f64 C B))) (/.f64 -1 (PI.f64)))
(/.f64 (atan.f64 (/.f64 C B)) (PI.f64))
(.f64 (neg.f64 (atan.f64 (/.f64 C B))) (.f64 (/.f64 -1 (PI.f64)) 1))
(/.f64 (atan.f64 (/.f64 C B)) (PI.f64))
(*.f64 -1 (/.f64 (neg.f64 (atan.f64 (/.f64 C B))) (PI.f64)))
(/.f64 (atan.f64 (/.f64 C B)) (PI.f64))
(.f64 -1 (.f64 (/.f64 (neg.f64 (atan.f64 (/.f64 C B))) (PI.f64)) 1))
(/.f64 (atan.f64 (/.f64 C B)) (PI.f64))
(.f64 (/.f64 1/2 (PI.f64)) (.f64 (atan.f64 (/.f64 C B)) 2))
(/.f64 (atan.f64 (/.f64 C B)) (PI.f64))
(.f64 1/2 (.f64 (atan.f64 (/.f64 C B)) (/.f64 2 (PI.f64))))
(/.f64 (atan.f64 (/.f64 C B)) (PI.f64))
(.f64 (.f64 (/.f64 1 (PI.f64)) 1/2) (*.f64 (atan.f64 (/.f64 C B)) 2))
(/.f64 (atan.f64 (/.f64 C B)) (PI.f64))
(*.f64 (/.f64 (neg.f64 (atan.f64 (/.f64 C B))) (PI.f64)) -1)
(/.f64 (atan.f64 (/.f64 C B)) (PI.f64))
(.f64 (/.f64 (atan.f64 (/.f64 C B)) (.f64 (PI.f64) 2)) 2)
(/.f64 (atan.f64 (/.f64 C B)) (PI.f64))
(.f64 (/.f64 (/.f64 1 (PI.f64)) 4) (.f64 (atan.f64 (/.f64 C B)) 4))
(/.f64 (atan.f64 (/.f64 C B)) (PI.f64))
(*.f64 (/.f64 -1 (PI.f64)) (neg.f64 (atan.f64 (/.f64 C B))))
(/.f64 (atan.f64 (/.f64 C B)) (PI.f64))
(neg.f64 (/.f64 (neg.f64 (atan.f64 (/.f64 C B))) (PI.f64)))
(/.f64 (atan.f64 (/.f64 C B)) (PI.f64))
(+.f64 (atan.f64 (/.f64 C B)) 0)
(atan.f64 (/.f64 C B))
(+.f64 0 (atan.f64 (/.f64 C B)))
(atan.f64 (/.f64 C B))
(+.f64 -1 (-.f64 1 (neg.f64 (atan.f64 (/.f64 C B)))))
(atan.f64 (/.f64 C B))
(+.f64 (/.f64 (atan.f64 (/.f64 C B)) 2) (/.f64 (atan.f64 (/.f64 C B)) 2))
(atan.f64 (/.f64 C B))
(+.f64 (-.f64 1 (neg.f64 (atan.f64 (/.f64 C B)))) -1)
(atan.f64 (/.f64 C B))
(-.f64 (atan.f64 (/.f64 C B)) 0)
(atan.f64 (/.f64 C B))
(-.f64 0 (neg.f64 (atan.f64 (/.f64 C B))))
(atan.f64 (/.f64 C B))
(*.f64 (atan.f64 (/.f64 C B)) 1)
(atan.f64 (/.f64 C B))
(*.f64 1 (atan.f64 (/.f64 C B)))
(atan.f64 (/.f64 C B))
(.f64 (.f64 (atan.f64 (/.f64 C B)) 2) 1/2)
(atan.f64 (/.f64 C B))
(*.f64 2 (/.f64 (atan.f64 (/.f64 C B)) 2))
(atan.f64 (/.f64 C B))
(.f64 2 (.f64 (/.f64 (atan.f64 (/.f64 C B)) 2) 1))
(atan.f64 (/.f64 C B))
(.f64 2 (.f64 (atan.f64 (/.f64 C B)) 1/2))
(atan.f64 (/.f64 C B))
(.f64 (.f64 (atan.f64 (/.f64 C B)) 4) 1/4)
(atan.f64 (/.f64 C B))
(*.f64 (neg.f64 (atan.f64 (/.f64 C B))) -1)
(atan.f64 (/.f64 C B))
(*.f64 -1 (neg.f64 (atan.f64 (/.f64 C B))))
(atan.f64 (/.f64 C B))
(.f64 1/2 (.f64 (atan.f64 (/.f64 C B)) 2))
(atan.f64 (/.f64 C B))
(*.f64 (/.f64 (atan.f64 (/.f64 C B)) 2) 2)
(atan.f64 (/.f64 C B))
(.f64 1/4 (.f64 (atan.f64 (/.f64 C B)) 4))
(atan.f64 (/.f64 C B))
(/.f64 (atan.f64 (/.f64 C B)) 1)
(atan.f64 (/.f64 C B))
(/.f64 (*.f64 (atan.f64 (/.f64 C B)) 2) 2)
(atan.f64 (/.f64 C B))
(/.f64 (*.f64 (atan.f64 (/.f64 C B)) 4) 4)
(atan.f64 (/.f64 C B))
(/.f64 (neg.f64 (atan.f64 (/.f64 C B))) -1)
(atan.f64 (/.f64 C B))
(/.f64 (*.f64 (atan.f64 (/.f64 C B)) 8) 8)
(atan.f64 (/.f64 C B))
(/.f64 (*.f64 (atan.f64 (/.f64 C B)) -2) -2)
(atan.f64 (/.f64 C B))
(/.f64 (.f64 2 (.f64 (atan.f64 (/.f64 C B)) 8)) 16)
(atan.f64 (/.f64 C B))
(neg.f64 (neg.f64 (atan.f64 (/.f64 C B))))
(atan.f64 (/.f64 C B))

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(atan.f64 (/.f64 (+.f64 C B) B))
✓	0.0b	(*.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64)))
✓	0.0b	(/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64))
✓	0.0b	(/.f64 (+.f64 C B) B)

Compiler

Compiled 39 to 11 computations (71.8% saved)

series6.0ms (0%)

Counts

4 → 48

Calls

24 calls:

Time	Variable		Point	Expression
0.0ms	B	@	-inf	(/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64))
0.0ms	C	@	-inf	(/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64))
0.0ms	B	@	inf	(/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64))
0.0ms	C	@	inf	(/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64))
0.0ms	C	@	0	(/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64))

rewrite112.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

986×	`rational.json-simplify-35`
890×	`rational.json-simplify-61`
838×	`bool.json-1`
838×	`bool.json-2`
808×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	86
1	130	86
2	370	86
3	895	86
4	2385	86
5	7375	86

Stop Event

1×	node limit

Counts

4 → 113

Calls

Call 1

Inputs
(/.f64 (+.f64 C B) B)
(/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64)))
(atan.f64 (/.f64 (+.f64 C B) B))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 C B) B) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 C B) B))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (+.f64 C B) (neg.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 C B) (+.f64 B B)) (/.f64 (+.f64 C B) (+.f64 B B)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 C B) B) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (+.f64 C B) (neg.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 C B) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 C B) (.f64 2 (/.f64 1/2 B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 C B) (.f64 (.f64 2 (/.f64 1 B)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 C B) (.f64 (/.f64 2 B) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 C B) B) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 C B) B))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 C B) 2) (/.f64 1/2 B))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 C B) 2) (.f64 (/.f64 1 B) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 C B) 2) (.f64 (.f64 (/.f64 1 B) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 C B) 2) (.f64 (.f64 2 (/.f64 1/2 B)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (+.f64 C B) (+.f64 B B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 (+.f64 C B) (+.f64 B B)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 (+.f64 C B) 2) (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 (+.f64 C B) B) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 C B) (/.f64 1/2 B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 1/2 B) (+.f64 C B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 C B) (/.f64 2 B)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 C B) 4) (/.f64 2 (.f64 B 8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 C B) 4) (.f64 (/.f64 2 (.f64 B 8)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 C B) 4) (.f64 1/4 (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 C B) 4) (.f64 1/2 (/.f64 1/2 B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 B) (+.f64 C B))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (+.f64 C B)) (/.f64 -1 B))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (+.f64 C B)) (.f64 (/.f64 -1 B) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (+.f64 C B) (neg.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (.f64 (/.f64 (+.f64 C B) (neg.f64 B)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (+.f64 C B) (/.f64 2 B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 B) (.f64 (+.f64 C B) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 B) 1/2) (.f64 (+.f64 C B) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 C B) (neg.f64 B)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 C B) (+.f64 B B)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (.f64 B 8)) (.f64 (+.f64 C B) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 B) (neg.f64 (+.f64 C B)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 C B) (neg.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (+.f64 C B) B)))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (+.f64 C B) B) (/.f64 (+.f64 C B) B))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (+.f64 C B) B) (/.f64 (+.f64 C B) B))))))
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simplify164.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1484×	`rational.json-simplify-35`
1438×	`rational.json-simplify-51`
1180×	`rational.json-simplify-2`
970×	`rational.json-simplify-61`
856×	`rational.json-simplify-46`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	228	3551
1	467	3485
2	1171	3413
3	2699	3413
4	6482	3413
5	7716	3413

Stop Event

1×	node limit

Counts

161 → 146

Calls

Call 1

Inputs
1
(+.f64 1 (/.f64 C B))
(+.f64 1 (/.f64 C B))
(+.f64 1 (/.f64 C B))
(/.f64 C B)
(+.f64 1 (/.f64 C B))
(+.f64 1 (/.f64 C B))
(+.f64 1 (/.f64 C B))
(/.f64 C B)
(+.f64 1 (/.f64 C B))
(+.f64 1 (/.f64 C B))
(+.f64 1 (/.f64 C B))
(/.f64 C B)
(+.f64 1 (/.f64 C B))
(+.f64 1 (/.f64 C B))
(+.f64 1 (/.f64 C B))
1
(+.f64 1 (/.f64 C B))
(+.f64 1 (/.f64 C B))
(+.f64 1 (/.f64 C B))
1
(+.f64 1 (/.f64 C B))
(+.f64 1 (/.f64 C B))
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(/.f64 (atan.f64 (/.f64 (-.f64 B (*.f64 -1 C)) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 B (*.f64 -1 C)) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 B (*.f64 -1 C)) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 B (*.f64 -1 C)) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 C (*.f64 -1 B)) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 C (*.f64 -1 B)) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 C (*.f64 -1 B)) B)) (PI.f64))
(/.f64 (atan.f64 (/.f64 (-.f64 C (*.f64 -1 B)) B)) (PI.f64))
(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 B (.f64 -1 C)) B)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 B (.f64 -1 C)) B)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 B (.f64 -1 C)) B)) (PI.f64)))
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(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C (.f64 -1 B)) B)) (PI.f64)))
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(.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (.f64 (/.f64 2 (PI.f64)) 1/2))
(/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64))
(*.f64 (/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64)) 1)
(/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64))
(*.f64 1 (/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64)))
(/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64))
(.f64 (.f64 (atan.f64 (/.f64 (+.f64 C B) B)) 2) (/.f64 1/2 (PI.f64)))
(/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64))
(.f64 (.f64 (atan.f64 (/.f64 (+.f64 C B) B)) 2) (*.f64 (/.f64 1 (PI.f64)) 1/2))
(/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64))
(.f64 (.f64 (atan.f64 (/.f64 (+.f64 C B) B)) 2) (.f64 (.f64 (/.f64 1 (PI.f64)) 1/2) 1))
(/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64))
(.f64 (.f64 (atan.f64 (/.f64 (+.f64 C B) B)) 2) (.f64 (.f64 2 (/.f64 1/2 (PI.f64))) 1/2))
(/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64))
(.f64 2 (/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (.f64 (PI.f64) 2)))
(/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64))
(.f64 2 (.f64 (/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (*.f64 (PI.f64) 2)) 1))
(/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64))
(.f64 2 (.f64 (/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) 2) (/.f64 1 (PI.f64))))
(/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64))
(.f64 2 (.f64 (/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64)) 1/2))
(/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64))
(.f64 2 (.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (/.f64 1/2 (PI.f64))))
(/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64))
(.f64 2 (.f64 (/.f64 1/2 (PI.f64)) (atan.f64 (/.f64 (+.f64 C B) B))))
(/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64))
(.f64 (.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (/.f64 2 (PI.f64))) 1/2)
(/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64))
(.f64 (.f64 (atan.f64 (/.f64 (+.f64 C B) B)) 4) (/.f64 1 (*.f64 (PI.f64) 4)))
(/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64))
(.f64 (.f64 (atan.f64 (/.f64 (+.f64 C B) B)) 4) (.f64 (/.f64 1 (.f64 (PI.f64) 4)) 1))
(/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64))
(.f64 (.f64 (atan.f64 (/.f64 (+.f64 C B) B)) 4) (*.f64 1/4 (/.f64 1 (PI.f64))))
(/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64))
(.f64 (.f64 (atan.f64 (/.f64 (+.f64 C B) B)) 4) (*.f64 1/2 (/.f64 1/2 (PI.f64))))
(/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64))
(*.f64 (/.f64 1 (PI.f64)) (atan.f64 (/.f64 (+.f64 C B) B)))
(/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64))
(*.f64 (neg.f64 (atan.f64 (/.f64 (+.f64 C B) B))) (/.f64 -1 (PI.f64)))
(/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64))
(.f64 (neg.f64 (atan.f64 (/.f64 (+.f64 C B) B))) (.f64 (/.f64 -1 (PI.f64)) 1))
(/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64))
(*.f64 -1 (/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (neg.f64 (PI.f64))))
(/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64))
(.f64 -1 (.f64 (/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (neg.f64 (PI.f64))) 1))
(/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64))
(.f64 1/2 (.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (/.f64 2 (PI.f64))))
(/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64))
(.f64 (/.f64 1/2 (PI.f64)) (.f64 (atan.f64 (/.f64 (+.f64 C B) B)) 2))
(/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64))
(.f64 (.f64 (/.f64 1 (PI.f64)) 1/2) (*.f64 (atan.f64 (/.f64 (+.f64 C B) B)) 2))
(/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64))
(*.f64 (/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (neg.f64 (PI.f64))) -1)
(/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64))
(.f64 (/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (.f64 (PI.f64) 2)) 2)
(/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64))
(.f64 (/.f64 1 (.f64 (PI.f64) 4)) (*.f64 (atan.f64 (/.f64 (+.f64 C B) B)) 4))
(/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64))
(*.f64 (/.f64 -1 (PI.f64)) (neg.f64 (atan.f64 (/.f64 (+.f64 C B) B))))
(/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64))
(neg.f64 (/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (neg.f64 (PI.f64))))
(/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64))
(+.f64 (*.f64 (/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64)) 180) 0)
(*.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64)))
(+.f64 0 (*.f64 (/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64)) 180))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64)))
(-.f64 (*.f64 (/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64)) 180) 0)
(*.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64)))
(/.f64 (*.f64 (/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64)) 180) 1)
(*.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64)))
(/.f64 (*.f64 (/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64)) 360) 2)
(*.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64)))
(/.f64 (*.f64 (/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64)) 720) 4)
(*.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64)))
(/.f64 (.f64 2 (.f64 (/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64)) 720)) 8)
(*.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64)))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64)) 720)) (.f64 2 (.f64 (/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64)) 720))) 16)
(*.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64)))
(+.f64 (atan.f64 (/.f64 (+.f64 C B) B)) 0)
(atan.f64 (/.f64 (+.f64 C B) B))
(+.f64 0 (atan.f64 (/.f64 (+.f64 C B) B)))
(atan.f64 (/.f64 (+.f64 C B) B))
(+.f64 -1 (-.f64 1 (neg.f64 (atan.f64 (/.f64 (+.f64 C B) B)))))
(atan.f64 (/.f64 (+.f64 C B) B))
(-.f64 (atan.f64 (/.f64 (+.f64 C B) B)) 0)
(atan.f64 (/.f64 (+.f64 C B) B))
(-.f64 0 (neg.f64 (atan.f64 (/.f64 (+.f64 C B) B))))
(atan.f64 (/.f64 (+.f64 C B) B))
(*.f64 (atan.f64 (/.f64 (+.f64 C B) B)) 1)
(atan.f64 (/.f64 (+.f64 C B) B))
(*.f64 1 (atan.f64 (/.f64 (+.f64 C B) B)))
(atan.f64 (/.f64 (+.f64 C B) B))
(.f64 (.f64 (atan.f64 (/.f64 (+.f64 C B) B)) 2) 1/2)
(atan.f64 (/.f64 (+.f64 C B) B))
(*.f64 2 (/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) 2))
(atan.f64 (/.f64 (+.f64 C B) B))
(.f64 2 (.f64 (/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) 2) 1))
(atan.f64 (/.f64 (+.f64 C B) B))
(.f64 2 (.f64 (atan.f64 (/.f64 (+.f64 C B) B)) 1/2))
(atan.f64 (/.f64 (+.f64 C B) B))
(.f64 (.f64 (atan.f64 (/.f64 (+.f64 C B) B)) 4) 1/4)
(atan.f64 (/.f64 (+.f64 C B) B))
(*.f64 (neg.f64 (atan.f64 (/.f64 (+.f64 C B) B))) -1)
(atan.f64 (/.f64 (+.f64 C B) B))
(*.f64 -1 (neg.f64 (atan.f64 (/.f64 (+.f64 C B) B))))
(atan.f64 (/.f64 (+.f64 C B) B))
(.f64 1/2 (.f64 (atan.f64 (/.f64 (+.f64 C B) B)) 2))
(atan.f64 (/.f64 (+.f64 C B) B))
(*.f64 (/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) 2) 2)
(atan.f64 (/.f64 (+.f64 C B) B))
(.f64 1/4 (.f64 (atan.f64 (/.f64 (+.f64 C B) B)) 4))
(atan.f64 (/.f64 (+.f64 C B) B))
(/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) 1)
(atan.f64 (/.f64 (+.f64 C B) B))
(/.f64 (*.f64 (atan.f64 (/.f64 (+.f64 C B) B)) 2) 2)
(atan.f64 (/.f64 (+.f64 C B) B))
(/.f64 (*.f64 (atan.f64 (/.f64 (+.f64 C B) B)) 4) 4)
(atan.f64 (/.f64 (+.f64 C B) B))
(/.f64 (neg.f64 (atan.f64 (/.f64 (+.f64 C B) B))) -1)
(atan.f64 (/.f64 (+.f64 C B) B))
(/.f64 (*.f64 (atan.f64 (/.f64 (+.f64 C B) B)) 8) 8)
(atan.f64 (/.f64 (+.f64 C B) B))
(/.f64 (*.f64 (atan.f64 (/.f64 (+.f64 C B) B)) -2) -2)
(atan.f64 (/.f64 (+.f64 C B) B))
(/.f64 (.f64 2 (.f64 (atan.f64 (/.f64 (+.f64 C B) B)) 8)) 16)
(atan.f64 (/.f64 (+.f64 C B) B))
(neg.f64 (neg.f64 (atan.f64 (/.f64 (+.f64 C B) B))))
(atan.f64 (/.f64 (+.f64 C B) B))

localize45.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (.f64 1/2 (/.f64 (pow.f64 C 2) B)) B)) B)) (PI.f64)))
✓	0.0b	(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (*.f64 1/2 (/.f64 (pow.f64 C 2) B)) B)) B)) (PI.f64))
✓	1.7b	(/.f64 (-.f64 C (+.f64 (*.f64 1/2 (/.f64 (pow.f64 C 2) B)) B)) B)
✓	7.9b	(/.f64 (pow.f64 C 2) B)

Compiler

Compiled 105 to 69 computations (34.3% saved)

series11.0ms (0%)

Counts

4 → 40

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	C	@	-inf	(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (.f64 1/2 (/.f64 (pow.f64 C 2) B)) B)) B)) (PI.f64)))
0.0ms	C	@	-inf	(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (*.f64 1/2 (/.f64 (pow.f64 C 2) B)) B)) B)) (PI.f64))
0.0ms	B	@	-inf	(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (*.f64 1/2 (/.f64 (pow.f64 C 2) B)) B)) B)) (PI.f64))
0.0ms	B	@	0	(/.f64 (pow.f64 C 2) B)
0.0ms	C	@	0	(/.f64 (pow.f64 C 2) B)

rewrite111.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2134×	`bool.json-1`
2134×	`bool.json-2`
1320×	`rational.json-simplify-35`
1044×	`rational.json-1`
1044×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	154
1	187	154
2	493	154
3	1146	154
4	3100	154
5	7428	154

Stop Event

1×	node limit

Counts

4 → 93

Calls

Call 1

Inputs
(/.f64 (pow.f64 C 2) B)
(/.f64 (-.f64 C (+.f64 (*.f64 1/2 (/.f64 (pow.f64 C 2) B)) B)) B)
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (*.f64 1/2 (/.f64 (pow.f64 C 2) B)) B)) B)) (PI.f64))
(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (.f64 1/2 (/.f64 (pow.f64 C 2) B)) B)) B)) (PI.f64)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 C 2) B) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 C 2) (/.f64 1/2 B)) (.f64 (pow.f64 C 2) (/.f64 1/2 B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 C 2) B))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 C 2) B) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (pow.f64 C 2) (/.f64 1/2 B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 C 2) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 C 2) (.f64 2 (.f64 1/2 (/.f64 1 B))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 C 2) (+.f64 (.f64 1/2 (/.f64 1 B)) (.f64 1/2 (/.f64 1 B))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 C 2) (+.f64 (/.f64 1/2 B) (/.f64 1/2 B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 C 2) (+.f64 (/.f64 1/2 B) (.f64 1/2 (/.f64 1 B))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 C 2) (+.f64 (.f64 1/2 (/.f64 1 B)) (/.f64 1/2 B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 C 2) B) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (/.f64 (pow.f64 C 2) B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 C 2) (/.f64 1/2 B)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (pow.f64 C 2) B))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (pow.f64 C 2)) (.f64 1/2 (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (pow.f64 C 2)) (/.f64 1/2 B))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (/.f64 (pow.f64 C 2) B)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 C 2) 4) (/.f64 1 (.f64 B 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 B) (pow.f64 C 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (pow.f64 C 2)) (/.f64 -1 B))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (pow.f64 C 2) (neg.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (/.f64 1 B)) (.f64 2 (pow.f64 C 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 B) (.f64 2 (pow.f64 C 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (/.f64 1 B)) (.f64 (pow.f64 C 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 1/2 (/.f64 1 B))) (pow.f64 C 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 C 2) (neg.f64 B)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 B 4)) (.f64 (pow.f64 C 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 B) (neg.f64 (pow.f64 C 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 1/2 B) (/.f64 1/2 B)) (pow.f64 C 2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 C 2) (neg.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (pow.f64 C 2) B)))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (pow.f64 C 2) B) (/.f64 (pow.f64 C 2) B))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (pow.f64 C 2) B) (/.f64 (pow.f64 C 2) B))))))
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simplify182.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1852×	`rational.json-simplify-35`
1242×	`rational.json-simplify-2`
1066×	`rational.json-simplify-51`
860×	`rational.json-simplify-1`
644×	`rational.json-simplify-47`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	197	5181
1	378	5089
2	715	5089
3	1400	5021
4	3836	5021
5	6263	5021
6	7464	5021

Stop Event

1×	node limit

Counts

133 → 135

Calls

Call 1

Inputs
-1
(-.f64 (/.f64 C B) 1)
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 C 2) (pow.f64 B 2))) (/.f64 C B)) 1)
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 C 2) (pow.f64 B 2))) (/.f64 C B)) 1)
(*.f64 -1/2 (/.f64 (pow.f64 C 2) (pow.f64 B 2)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 C 2) (pow.f64 B 2))) (/.f64 C B))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 C 2) (pow.f64 B 2))) (/.f64 C B)) 1)
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 C 2) (pow.f64 B 2))) (/.f64 C B)) 1)
(*.f64 -1/2 (/.f64 (pow.f64 C 2) (pow.f64 B 2)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 C 2) (pow.f64 B 2))) (/.f64 C B))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 C 2) (pow.f64 B 2))) (/.f64 C B)) 1)
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 C 2) (pow.f64 B 2))) (/.f64 C B)) 1)
(*.f64 -1/2 (/.f64 (pow.f64 C 2) (pow.f64 B 2)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 C 2) (pow.f64 B 2))) (/.f64 C B))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 C 2) (pow.f64 B 2))) (/.f64 C B)) 1)
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 C 2) (pow.f64 B 2))) (/.f64 C B)) 1)
-1
(-.f64 (/.f64 C B) 1)
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 C 2) (pow.f64 B 2))) (/.f64 C B)) 1)
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 C 2) (pow.f64 B 2))) (/.f64 C B)) 1)
-1
(-.f64 (/.f64 C B) 1)
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 C 2) (pow.f64 B 2))) (/.f64 C B)) 1)
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 C 2) (pow.f64 B 2))) (/.f64 C B)) 1)
(/.f64 (atan.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 C) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 C 2) B)) B)) B))) (PI.f64))
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(/.f64 (atan.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 C) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 C 2) B)) B)) B))) (PI.f64))
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Outputs
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(.f64 2 (.f64 (.f64 1/2 (/.f64 1 B)) (-.f64 C (+.f64 B (.f64 (pow.f64 C 2) (/.f64 1/2 B))))))
(.f64 (-.f64 C (+.f64 B (.f64 (pow.f64 C 2) (/.f64 1/2 B)))) (*.f64 (/.f64 1 B) 1))
(.f64 (/.f64 1 B) (.f64 (-.f64 C (+.f64 B (*.f64 (pow.f64 C 2) (/.f64 1/2 B)))) 1))
(.f64 (+.f64 (.f64 (pow.f64 C 2) (/.f64 1/2 B)) (-.f64 B C)) (/.f64 -1 B))
(.f64 (/.f64 -1 B) (+.f64 (.f64 (pow.f64 C 2) (/.f64 1/2 B)) (-.f64 B C)))
(.f64 -1 (/.f64 (+.f64 (.f64 (pow.f64 C 2) (/.f64 1/2 B)) (-.f64 B C)) B))
(neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 C 2) (/.f64 1/2 B)) (-.f64 B C)) B))
(/.f64 (+.f64 (*.f64 (pow.f64 C 2) (/.f64 1/2 B)) (-.f64 B C)) (neg.f64 B))
(.f64 (.f64 1/2 (/.f64 1 B)) (.f64 2 (-.f64 C (+.f64 B (.f64 (pow.f64 C 2) (/.f64 1/2 B))))))
(.f64 2 (.f64 (.f64 1/2 (/.f64 1 B)) (-.f64 C (+.f64 B (.f64 (pow.f64 C 2) (/.f64 1/2 B))))))
(.f64 (-.f64 C (+.f64 B (.f64 (pow.f64 C 2) (/.f64 1/2 B)))) (*.f64 (/.f64 1 B) 1))
(.f64 (/.f64 1 B) (.f64 (-.f64 C (+.f64 B (*.f64 (pow.f64 C 2) (/.f64 1/2 B)))) 1))
(.f64 (/.f64 1 B) (-.f64 C (+.f64 B (.f64 (pow.f64 C 2) (/.f64 1/2 B)))))
(.f64 (/.f64 1/2 B) (.f64 2 (-.f64 C (+.f64 B (*.f64 (pow.f64 C 2) (/.f64 1/2 B))))))
(.f64 2 (.f64 (/.f64 1/2 B) (-.f64 C (+.f64 B (*.f64 (pow.f64 C 2) (/.f64 1/2 B))))))
(.f64 (.f64 2 (/.f64 1 B)) (.f64 1/2 (-.f64 C (+.f64 B (.f64 (pow.f64 C 2) (/.f64 1/2 B))))))
(.f64 2 (.f64 (.f64 1/2 (/.f64 1 B)) (-.f64 C (+.f64 B (.f64 (pow.f64 C 2) (/.f64 1/2 B))))))
(.f64 (-.f64 C (+.f64 B (.f64 (pow.f64 C 2) (/.f64 1/2 B)))) (*.f64 (/.f64 1 B) 1))
(.f64 (/.f64 1 B) (.f64 (-.f64 C (+.f64 B (*.f64 (pow.f64 C 2) (/.f64 1/2 B)))) 1))
(.f64 (/.f64 1 B) (-.f64 C (+.f64 B (.f64 (pow.f64 C 2) (/.f64 1/2 B)))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 C 2) (/.f64 1/2 B)) (-.f64 B C)) B) -1)
(neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 C 2) (/.f64 1/2 B)) (-.f64 B C)) B))
(/.f64 (+.f64 (*.f64 (pow.f64 C 2) (/.f64 1/2 B)) (-.f64 B C)) (neg.f64 B))
(.f64 (/.f64 (-.f64 C (+.f64 B (.f64 (pow.f64 C 2) (/.f64 1/2 B)))) (+.f64 B B)) 2)
(/.f64 (-.f64 C (+.f64 B (*.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)
(.f64 (/.f64 (/.f64 (-.f64 C (+.f64 B (.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B) 2) 2)
(/.f64 (-.f64 C (+.f64 B (*.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)
(.f64 (/.f64 1 (.f64 B 4)) (.f64 (-.f64 C (+.f64 B (.f64 (pow.f64 C 2) (/.f64 1/2 B)))) 4))
(.f64 (/.f64 1 (.f64 B 4)) (.f64 4 (-.f64 C (+.f64 B (.f64 (pow.f64 C 2) (/.f64 1/2 B))))))
(.f64 4 (.f64 (-.f64 C (+.f64 B (*.f64 (pow.f64 C 2) (/.f64 1/2 B)))) (/.f64 1/4 B)))
(.f64 4 (.f64 (/.f64 1/4 B) (-.f64 C (+.f64 B (*.f64 (pow.f64 C 2) (/.f64 1/2 B))))))
(.f64 (/.f64 -1 B) (+.f64 (.f64 (pow.f64 C 2) (/.f64 1/2 B)) (-.f64 B C)))
(.f64 (+.f64 (/.f64 1/2 B) (/.f64 1/2 B)) (-.f64 C (+.f64 B (.f64 (pow.f64 C 2) (/.f64 1/2 B)))))
(.f64 (/.f64 1/2 B) (.f64 2 (-.f64 C (+.f64 B (*.f64 (pow.f64 C 2) (/.f64 1/2 B))))))
(.f64 2 (.f64 (/.f64 1/2 B) (-.f64 C (+.f64 B (*.f64 (pow.f64 C 2) (/.f64 1/2 B))))))
(neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 C 2) (/.f64 1/2 B)) (-.f64 B C)) B))
(/.f64 (+.f64 (*.f64 (pow.f64 C 2) (/.f64 1/2 B)) (-.f64 B C)) (neg.f64 B))
(+.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (*.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) (PI.f64)) 0)
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (*.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) (PI.f64))
(+.f64 0 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (*.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) (PI.f64)))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (*.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) (PI.f64))
(-.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (*.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) (PI.f64)) 0)
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (*.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) (PI.f64))
(.f64 2 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) (*.f64 2 (PI.f64))))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (*.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) (PI.f64))
(.f64 2 (/.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) (PI.f64)) 2))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (*.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) (PI.f64))
(.f64 2 (.f64 (/.f64 1/2 (PI.f64)) (atan.f64 (/.f64 (-.f64 C (+.f64 B (*.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B))))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (*.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) (PI.f64))
(.f64 1/2 (.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (*.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) (/.f64 2 (PI.f64))))
(.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) (/.f64 1 (PI.f64)))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (*.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) (PI.f64))
(.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) (PI.f64)) 1)
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (*.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) (PI.f64))
(.f64 1 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) (PI.f64)))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (*.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) (PI.f64))
(.f64 (.f64 2 (atan.f64 (/.f64 (-.f64 C (+.f64 B (*.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B))) (/.f64 1/2 (PI.f64)))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (*.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) (PI.f64))
(.f64 (.f64 2 (atan.f64 (/.f64 (-.f64 C (+.f64 B (.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B))) (.f64 1/2 (/.f64 1 (PI.f64))))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (*.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) (PI.f64))
(.f64 (.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (*.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) (/.f64 2 (PI.f64))) 1/2)
(.f64 1/2 (.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (*.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) (/.f64 2 (PI.f64))))
(.f64 (.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) 4) (/.f64 1 (.f64 (PI.f64) 4)))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (*.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) (PI.f64))
(.f64 (/.f64 1 (PI.f64)) (atan.f64 (/.f64 (-.f64 C (+.f64 B (.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (*.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) (PI.f64))
(.f64 (neg.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B))) (/.f64 -1 (PI.f64)))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (*.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) (PI.f64))
(.f64 -1 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) (neg.f64 (PI.f64))))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (*.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) (PI.f64))
(.f64 (/.f64 1/2 (PI.f64)) (.f64 2 (atan.f64 (/.f64 (-.f64 C (+.f64 B (*.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B))))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (*.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) (PI.f64))
(.f64 (.f64 1/2 (/.f64 1 (PI.f64))) (.f64 2 (atan.f64 (/.f64 (-.f64 C (+.f64 B (.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B))))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (*.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) (PI.f64))
(.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) (neg.f64 (PI.f64))) -1)
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (*.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) (PI.f64))
(.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) (*.f64 2 (PI.f64))) 2)
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (*.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) (PI.f64))
(.f64 (/.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) (PI.f64)) 2) 2)
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (*.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) (PI.f64))
(.f64 (/.f64 1 (.f64 (PI.f64) 4)) (.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) 4))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (*.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) (PI.f64))
(.f64 (/.f64 -1 (PI.f64)) (neg.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B))))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (*.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) (PI.f64))
(.f64 (+.f64 (/.f64 1/2 (PI.f64)) (/.f64 1/2 (PI.f64))) (atan.f64 (/.f64 (-.f64 C (+.f64 B (.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (*.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) (PI.f64))
(neg.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (*.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) (neg.f64 (PI.f64))))
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (*.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) (PI.f64))
(+.f64 (.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) (PI.f64)) 180) 0)
(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) (PI.f64)))
(+.f64 0 (.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) (PI.f64)) 180))
(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) (PI.f64)))
(-.f64 (.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) (PI.f64)) 180) 0)
(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) (PI.f64)))
(/.f64 (.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) (PI.f64)) 180) 1)
(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) (PI.f64)))
(/.f64 (.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) (PI.f64)) 360) 2)
(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) (PI.f64)))
(/.f64 (.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) (PI.f64)) 720) 4)
(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) (PI.f64)))
(/.f64 (.f64 2 (.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (*.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) (PI.f64)) 720)) 8)
(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) (PI.f64)))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) (PI.f64)) 720)) (.f64 2 (.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) (PI.f64)) 720))) 16)
(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 B (.f64 (pow.f64 C 2) (/.f64 1/2 B)))) B)) (PI.f64)))

localize56.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (atan.f64 (.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)) -1/2)) (PI.f64))
✓	0.2b	(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)) -1/2)) (PI.f64)))
	16.5b	(-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))
✓	23.6b	(/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C))

Compiler

Compiled 142 to 88 computations (38% saved)

series4.0ms (0%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
0.0ms	B	@	-inf	(/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C))
0.0ms	C	@	-inf	(/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C))
0.0ms	A	@	-inf	(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)) -1/2)) (PI.f64)))
0.0ms	B	@	0	(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)) -1/2)) (PI.f64)))
0.0ms	C	@	-inf	(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)) -1/2)) (PI.f64)))

rewrite82.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1546×	`bool.json-1`
1546×	`bool.json-2`
1510×	`rational.json-1`
1510×	`rational.json-2`
1510×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	183
1	228	183
2	605	183
3	1510	183
4	4368	183

Stop Event

1×	node limit

Counts

3 → 55

Calls

Call 1

Inputs

(/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C))

(*.f64 180 (/.f64 (atan.f64 (*.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)) -1/2)) (PI.f64)))

(/.f64 (atan.f64 (*.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)) -1/2)) (PI.f64))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B (+.f64 C C))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (/.f64 1 (*.f64 B C)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 (/.f64 1 C) (/.f64 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simplify187.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1400×	`rational.json-simplify-51`
1242×	`rational.json-simplify-35`
972×	`rational.json-simplify-50`
910×	`rational.json-simplify-44`
844×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	161	8303
1	367	8297
2	769	8297
3	1742	8297
4	4870	8297
5	6811	8297

Stop Event

1×	node limit

Counts

163 → 72

Calls

Call 1

Inputs
(/.f64 B C)
(/.f64 B C)
(/.f64 B C)
(/.f64 B C)
(/.f64 B C)
(/.f64 B C)
(/.f64 B C)
(/.f64 B C)
(/.f64 B C)
(/.f64 B C)
(/.f64 B C)
(/.f64 B C)
(/.f64 B C)
(/.f64 B C)
(/.f64 B C)
(/.f64 B C)
(/.f64 B C)
(/.f64 B C)
(/.f64 B C)
(/.f64 B C)
(/.f64 B C)
(/.f64 B C)
(/.f64 B C)
(/.f64 B C)
(/.f64 B C)
(/.f64 B C)
(/.f64 B C)
(/.f64 B C)
(/.f64 B C)
(/.f64 B C)
(/.f64 B C)
(/.f64 B C)
(/.f64 B C)
(/.f64 B C)
(/.f64 B C)
(/.f64 B C)
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (neg.f64 A) 2)) (*.f64 C B)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (neg.f64 A) 2)) (*.f64 C B)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (neg.f64 A) 2)) (*.f64 C B)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (neg.f64 A) 2)) (*.f64 C B)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (neg.f64 A) 2)) (*.f64 C B)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (neg.f64 A) 2)) (*.f64 C B)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (neg.f64 A) 2)) (*.f64 C B)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (neg.f64 A) 2)) (*.f64 C B)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (neg.f64 A) 2)) (*.f64 C B)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (neg.f64 A) 2)) (*.f64 C B)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (neg.f64 A) 2)) (*.f64 C B)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (neg.f64 A) 2)) (*.f64 C B)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (neg.f64 A) 2)) (*.f64 C B)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (neg.f64 A) 2)) (*.f64 C B)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (neg.f64 A) 2)) (*.f64 C B)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (neg.f64 A) 2)) (*.f64 C B)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (neg.f64 A) 2)) (*.f64 C B)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (neg.f64 A) 2)) (*.f64 C B)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (neg.f64 A) 2)) (*.f64 C B)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (neg.f64 A) 2)) (*.f64 C B)))) (PI.f64)))
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(/.f64 (atan.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (neg.f64 A) 2)) (.f64 C B)))) (PI.f64))
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(/.f64 (atan.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (neg.f64 A) 2)) (.f64 C B)))) (PI.f64))
(/.f64 (atan.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (neg.f64 A) 2)) (.f64 C B)))) (PI.f64))
(/.f64 (atan.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (neg.f64 A) 2)) (.f64 C B)))) (PI.f64))
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(/.f64 (atan.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (neg.f64 A) 2)) (.f64 C B)))) (PI.f64))
(/.f64 (atan.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (neg.f64 A) 2)) (.f64 C B)))) (PI.f64))
(/.f64 (atan.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (neg.f64 A) 2)) (.f64 C B)))) (PI.f64))
(/.f64 (atan.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (neg.f64 A) 2)) (.f64 C B)))) (PI.f64))
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(/.f64 (atan.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (neg.f64 A) 2)) (.f64 C B)))) (PI.f64))
(/.f64 (atan.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (neg.f64 A) 2)) (.f64 C B)))) (PI.f64))
(/.f64 (atan.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (neg.f64 A) 2)) (.f64 C B)))) (PI.f64))
(/.f64 (atan.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (neg.f64 A) 2)) (.f64 C B)))) (PI.f64))
(/.f64 (atan.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (neg.f64 A) 2)) (.f64 C B)))) (PI.f64))
(/.f64 (atan.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (neg.f64 A) 2)) (.f64 C B)))) (PI.f64))
(/.f64 (atan.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (neg.f64 A) 2)) (.f64 C B)))) (PI.f64))
(+.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)) 0)
(+.f64 0 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)))
(-.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)) 0)
(.f64 2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B (+.f64 C C))))
(.f64 2 (/.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)) 2))
(.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (/.f64 1 (.f64 B C)))
(.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 (/.f64 1 C) (/.f64 1 B)))
(.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)) 1)
(.f64 1 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)))
(.f64 -1 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (neg.f64 (.f64 B C))))
(.f64 -1 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 C (neg.f64 B))))
(*.f64 -1 (/.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) B) (neg.f64 C)))
(.f64 (.f64 2 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2)))) (/.f64 (/.f64 1/2 B) C))
(.f64 (.f64 2 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2)))) (*.f64 (/.f64 (/.f64 1/2 B) C) 1))
(.f64 (.f64 2 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2)))) (.f64 1/2 (/.f64 1 (.f64 B C))))
(*.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) B) (/.f64 1 C))
(.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) B) (.f64 (/.f64 1 C) 1))
(.f64 (.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (/.f64 2 (*.f64 B C))) 1/2)
(.f64 (.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) 4) (/.f64 1 (.f64 B (.f64 C 4))))
(.f64 (.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (/.f64 2 B)) (/.f64 1 (+.f64 C C)))
(*.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C) (/.f64 1 B))
(.f64 (/.f64 1 (.f64 B C)) (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))))
(*.f64 (/.f64 1 B) (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C))
(.f64 (neg.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2)))) (/.f64 1 (neg.f64 (.f64 B C))))
(.f64 (neg.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2)))) (/.f64 1 (.f64 C (neg.f64 B))))
(*.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (neg.f64 B)) (/.f64 1 (neg.f64 C)))
(*.f64 (/.f64 1 C) (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) B))
(.f64 (/.f64 1/2 B) (.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (/.f64 2 C)))
(.f64 1/2 (.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (/.f64 2 (*.f64 B C))))
(.f64 (/.f64 (/.f64 1/2 B) C) (.f64 2 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2)))))
(+.f64 (.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)) -1/2)) (PI.f64))) 0)
(+.f64 0 (.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)) -1/2)) (PI.f64))))
(-.f64 (.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)) -1/2)) (PI.f64))) 0)
(/.f64 (.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)) -1/2)) (PI.f64))) 1)
(/.f64 (.f64 (/.f64 (atan.f64 (.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)) -1/2)) (PI.f64)) 360) 2)
(/.f64 (.f64 2 (.f64 (/.f64 (atan.f64 (.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)) -1/2)) (PI.f64)) 360)) 4)
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (atan.f64 (.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)) -1/2)) (PI.f64)) 360)) (.f64 2 (.f64 (/.f64 (atan.f64 (.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)) -1/2)) (PI.f64)) 360))) 8)
(+.f64 (/.f64 (atan.f64 (.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)) -1/2)) (PI.f64)) 0)
(+.f64 0 (/.f64 (atan.f64 (.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)) -1/2)) (PI.f64)))
(-.f64 (/.f64 (atan.f64 (.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)) -1/2)) (PI.f64)) 0)
(.f64 2 (/.f64 (atan.f64 (.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)) -1/2)) (.f64 2 (PI.f64))))
(.f64 2 (/.f64 (/.f64 (atan.f64 (.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)) -1/2)) (PI.f64)) 2))
(.f64 (atan.f64 (.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)) -1/2)) (/.f64 1 (PI.f64)))
(.f64 (/.f64 (atan.f64 (.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)) -1/2)) (PI.f64)) 1)
(.f64 1 (/.f64 (atan.f64 (.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)) -1/2)) (PI.f64)))
(.f64 -1 (/.f64 (atan.f64 (.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)) -1/2)) (neg.f64 (PI.f64))))
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(.f64 (.f64 2 (atan.f64 (.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)) -1/2))) (*.f64 (/.f64 1/2 (PI.f64)) 1))
(.f64 (.f64 2 (atan.f64 (.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)) -1/2))) (*.f64 1/2 (/.f64 1 (PI.f64))))
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(.f64 (.f64 (atan.f64 (.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)) -1/2)) 4) (/.f64 1 (*.f64 (PI.f64) 4)))
(.f64 (/.f64 1 (PI.f64)) (atan.f64 (.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)) -1/2)))
(.f64 (neg.f64 (atan.f64 (.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)) -1/2))) (/.f64 1 (neg.f64 (PI.f64))))
(.f64 1/2 (.f64 (atan.f64 (.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)) -1/2)) (/.f64 2 (PI.f64))))
(.f64 (/.f64 1/2 (PI.f64)) (.f64 2 (atan.f64 (.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)) -1/2))))

Outputs
(/.f64 B C)
(/.f64 B C)
(/.f64 B C)
(/.f64 B C)
(/.f64 B C)
(/.f64 B C)
(/.f64 B C)
(/.f64 B C)
(/.f64 B C)
(/.f64 B C)
(/.f64 B C)
(/.f64 B C)
(/.f64 B C)
(/.f64 B C)
(/.f64 B C)
(/.f64 B C)
(/.f64 B C)
(/.f64 B C)
(/.f64 B C)
(/.f64 B C)
(/.f64 B C)
(/.f64 B C)
(/.f64 B C)
(/.f64 B C)
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(/.f64 (atan.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)))) (PI.f64))
(.f64 (.f64 2 (atan.f64 (.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)) -1/2))) (*.f64 1/2 (/.f64 1 (PI.f64))))
(/.f64 (atan.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (neg.f64 A) 2)) (.f64 B C)))) (PI.f64))
(/.f64 (atan.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)))) (PI.f64))
(.f64 (.f64 (atan.f64 (.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)) -1/2)) (/.f64 2 (PI.f64))) 1/2)
(.f64 1/2 (.f64 (atan.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)))) (/.f64 2 (PI.f64))))
(.f64 (.f64 (atan.f64 (.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)) -1/2)) 4) (/.f64 1 (*.f64 (PI.f64) 4)))
(/.f64 (atan.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (neg.f64 A) 2)) (.f64 B C)))) (PI.f64))
(/.f64 (atan.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)))) (PI.f64))
(.f64 (/.f64 1 (PI.f64)) (atan.f64 (.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)) -1/2)))
(/.f64 (atan.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (neg.f64 A) 2)) (.f64 B C)))) (PI.f64))
(/.f64 (atan.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)))) (PI.f64))
(.f64 (neg.f64 (atan.f64 (.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)) -1/2))) (/.f64 1 (neg.f64 (PI.f64))))
(/.f64 (atan.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (neg.f64 A) 2)) (.f64 B C)))) (PI.f64))
(/.f64 (atan.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)))) (PI.f64))
(.f64 1/2 (.f64 (atan.f64 (.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)) -1/2)) (/.f64 2 (PI.f64))))
(.f64 1/2 (.f64 (atan.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)))) (/.f64 2 (PI.f64))))
(.f64 (/.f64 1/2 (PI.f64)) (.f64 2 (atan.f64 (.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)) -1/2))))
(/.f64 (atan.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)) (pow.f64 (neg.f64 A) 2)) (.f64 B C)))) (PI.f64))
(/.f64 (atan.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)))) (PI.f64))

eval176.0ms (0.7%)

Compiler: Compiled 9856 to 5995 computations (39.2% saved)

prune144.0ms (0.5%)

Pruning

30 alts after pruning (22 fresh and 8 done)

	Pruned	Kept	Total
New	556	4	560
Fresh	1	18	19
Picked	1	0	1
Done	1	8	9
Total	559	30	589

Error

0.4b

Counts

589 → 30

Alt Table

Click to see full alt table

Status	Error	Program
✓	29.8b	(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (PI.f64)))
✓	30.8b	(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) B)) (PI.f64)))
	34.7b	(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) B)) (PI.f64)))
✓	45.7b	(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (.f64 1/2 (/.f64 (pow.f64 C 2) B)) B)) B)) (PI.f64)))
	37.7b	(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C B) B)) (PI.f64)))
	37.6b	(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 B A) B)) (PI.f64)))
	45.5b	(.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 (.f64 (/.f64 (pow.f64 A 2) B) 1/2) (+.f64 B A)) (neg.f64 B))) (PI.f64)))
	53.3b	(.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 (neg.f64 (+.f64 A (neg.f64 A))) (.f64 -1/2 (+.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C) (*.f64 A (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (pow.f64 C 2)))))) B)) (PI.f64)))
✓	37.8b	(*.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64)))
	38.2b	(*.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 A B) (neg.f64 B))) (PI.f64)))
	48.3b	(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 A -2) B)) (PI.f64)))
	48.7b	(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 2 C) B)) (PI.f64)))
	51.3b	(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 1/2 (/.f64 (pow.f64 B 2) A)) B)) (PI.f64)))
	49.0b	(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 -1/2 (/.f64 (pow.f64 B 2) C)) B)) (PI.f64)))
	48.5b	(*.f64 180 (/.f64 (atan.f64 (/.f64 (neg.f64 A) B)) (PI.f64)))
✓	48.7b	(*.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)))
	45.8b	(.f64 180 (/.f64 (atan.f64 (+.f64 (+.f64 (.f64 -1/2 (/.f64 B (-.f64 A C))) (.f64 1/8 (/.f64 (pow.f64 B 3) (pow.f64 (-.f64 A C) 3)))) (.f64 2 (-.f64 (/.f64 C B) (/.f64 A B))))) (PI.f64)))
	55.6b	(.f64 180 (/.f64 (atan.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 B (/.f64 C (pow.f64 A 2))) (/.f64 B A))) (.f64 -1/2 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 B 2) 1/2) 2) (.f64 (pow.f64 C 2) (neg.f64 (pow.f64 B 2)))) (pow.f64 A 3)) B)))) (PI.f64)))
	55.9b	(.f64 180 (/.f64 (atan.f64 (+.f64 (.f64 -1/2 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 B 2) 1/2) 2) (.f64 (pow.f64 B 2) (neg.f64 (pow.f64 C 2)))) (pow.f64 A 3)) B)) (.f64 1/2 (+.f64 (/.f64 (/.f64 (.f64 C (+.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (pow.f64 B 2) 1/2) 2) (.f64 (pow.f64 B 2) (neg.f64 (pow.f64 C 2))))) (.f64 -1/2 (pow.f64 B 4)))) (pow.f64 A 4)) B) (+.f64 (.f64 B (/.f64 C (pow.f64 A 2))) (/.f64 B A)))))) (PI.f64)))
	41.4b	(.f64 180 (/.f64 (atan.f64 (+.f64 (.f64 -1/2 (/.f64 B (-.f64 A C))) (*.f64 2 (-.f64 (/.f64 C B) (/.f64 A B))))) (PI.f64)))
	53.3b	(.f64 180 (/.f64 (atan.f64 (+.f64 (neg.f64 (/.f64 (+.f64 A (neg.f64 A)) B)) (.f64 -1/2 (+.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)) (.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (/.f64 A (*.f64 B (pow.f64 C 2)))))))) (PI.f64)))
	50.6b	(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 (+.f64 (pow.f64 B 2) 0) (*.f64 B C)) -1/2)) (PI.f64)))
	47.3b	(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 B C) -1/2)) (PI.f64)))
	49.0b	(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 1 B) (+.f64 (neg.f64 (+.f64 A (neg.f64 A))) (*.f64 -1/2 (/.f64 (pow.f64 B 2) C))))) (PI.f64)))
	55.2b	(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 A 2) C) B) (/.f64 A B)) (*.f64 (/.f64 (/.f64 (pow.f64 A 2) C) B) (/.f64 A B))))) (PI.f64)))
	49.1b	(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (/.f64 B A))) (PI.f64)))
✓	45.4b	(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (+.f64 (*.f64 B (/.f64 C (pow.f64 A 2))) (/.f64 B A)))) (PI.f64)))
✓	49.5b	(*.f64 180 (/.f64 (atan.f64 1) (PI.f64)))
✓	50.2b	(*.f64 180 (/.f64 (atan.f64 -1) (PI.f64)))
	53.0b	(.f64 180 (.f64 (/.f64 1 (PI.f64)) (atan.f64 (.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)) -1/2))))

Compiler

Compiled 708 to 549 computations (22.5% saved)

regimes307.0ms (1.1%)

Counts

51 → 3

Calls

Call 1

Inputs
(*.f64 180 (/.f64 (atan.f64 -1) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 1) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (neg.f64 A) B)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -2 (/.f64 A B))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 B C))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (/.f64 B A))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 2 (/.f64 C B))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 B C) -1/2)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 2 C) B)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 A -2) B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 B A) B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C B) B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 A B) (neg.f64 B))) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (neg.f64 (/.f64 (+.f64 A (neg.f64 A)) B))) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (+.f64 C B) A) B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) B) B)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 1 B) (-.f64 (+.f64 C B) A))) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (-.f64 (/.f64 C B) (+.f64 1 (/.f64 A B)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (+.f64 (.f64 -1/2 (/.f64 B (-.f64 A C))) (*.f64 2 (-.f64 (/.f64 C B) (/.f64 A B))))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 -1/2 (/.f64 (pow.f64 B 2) C)) B)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 1/2 (/.f64 (pow.f64 B 2) A)) B)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 1 B) (*.f64 1/2 (/.f64 (pow.f64 B 2) A)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 (+.f64 (pow.f64 B 2) 0) (*.f64 B C)) -1/2)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (+.f64 (*.f64 B (/.f64 C (pow.f64 A 2))) (/.f64 B A)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 (.f64 1/2 (/.f64 (pow.f64 C 2) B)) B)) B)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 (.f64 (/.f64 (pow.f64 A 2) B) 1/2) (+.f64 B A)) (neg.f64 B))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 1 B) (+.f64 (neg.f64 (+.f64 A (neg.f64 A))) (*.f64 -1/2 (/.f64 (pow.f64 B 2) C))))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) B)) B)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 1 B) (-.f64 (-.f64 C A) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (-.f64 A C) 2) B)) B)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 A 2) C) B) (/.f64 A B)) (*.f64 (/.f64 (/.f64 (pow.f64 A 2) C) B) (/.f64 A B))))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (+.f64 (+.f64 (.f64 -1/2 (/.f64 B (-.f64 A C))) (.f64 1/8 (/.f64 (pow.f64 B 3) (pow.f64 (-.f64 A C) 3)))) (.f64 2 (-.f64 (/.f64 C B) (/.f64 A B))))) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (neg.f64 (/.f64 (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) B))) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (neg.f64 (+.f64 A (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2))))) B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (neg.f64 A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 B 2) (pow.f64 A 2)))) B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))) B)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 1 B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C)) -1/2)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C)) B)) (PI.f64)))
(.f64 180 (.f64 (/.f64 1 (PI.f64)) (atan.f64 (.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)) -1/2))))
(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 1 B) (+.f64 (-.f64 C (-.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))) 1)) (-.f64 -1 A)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 1 B) (+.f64 (neg.f64 (+.f64 A (neg.f64 A))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C))))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (+.f64 (neg.f64 (/.f64 (+.f64 A (neg.f64 A)) B)) (.f64 -1/2 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (*.f64 B C))))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 B (/.f64 C (pow.f64 A 2))) (/.f64 B A))) (.f64 -1/2 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 B 2) 1/2) 2) (.f64 (pow.f64 C 2) (neg.f64 (pow.f64 B 2)))) (pow.f64 A 3)) B)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 (neg.f64 (+.f64 A (neg.f64 A))) (.f64 -1/2 (+.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C) (*.f64 A (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (pow.f64 C 2)))))) B)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 1 B) (+.f64 (neg.f64 (+.f64 A (neg.f64 A))) (.f64 -1/2 (+.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) C) (.f64 A (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (pow.f64 C 2)))))))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (+.f64 (neg.f64 (/.f64 (+.f64 A (neg.f64 A)) B)) (.f64 -1/2 (+.f64 (/.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (.f64 B C)) (.f64 (+.f64 (pow.f64 B 2) (-.f64 (pow.f64 A 2) (pow.f64 (neg.f64 A) 2))) (/.f64 A (*.f64 B (pow.f64 C 2)))))))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (+.f64 (.f64 -1/2 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 B 2) 1/2) 2) (.f64 (pow.f64 B 2) (neg.f64 (pow.f64 C 2)))) (pow.f64 A 3)) B)) (.f64 1/2 (+.f64 (/.f64 (/.f64 (.f64 C (+.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (pow.f64 B 2) 1/2) 2) (.f64 (pow.f64 B 2) (neg.f64 (pow.f64 C 2))))) (.f64 -1/2 (pow.f64 B 4)))) (pow.f64 A 4)) B) (+.f64 (.f64 B (/.f64 C (pow.f64 A 2))) (/.f64 B A)))))) (PI.f64)))

Outputs

(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) B) B)) (PI.f64)))

(*.f64 180 (/.f64 (atan.f64 (*.f64 1/2 (+.f64 (*.f64 B (/.f64 C (pow.f64 A 2))) (/.f64 B A)))) (PI.f64)))

(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (+.f64 C B) A) B)) (PI.f64)))

Calls

7 calls:

91.0ms	C
71.0ms	A
69.0ms	B
17.0ms	(*.f64 (/.f64 1 B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))))
11.0ms	(atan.f64 (*.f64 (/.f64 1 B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))

Results

Error	Segments	Branch
21.4b	3	`A`
19.5b	3	`B`
20.8b	4	`C`
17.1b	3	`(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 1 B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))))) (PI.f64)))`
17.1b	3	`(/.f64 (atan.f64 (*.f64 (/.f64 1 B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))))) (PI.f64))`
17.1b	3	`(atan.f64 (*.f64 (/.f64 1 B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))`
17.1b	3	`(*.f64 (/.f64 1 B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))))`

Compiler

Compiled 1149 to 746 computations (35.1% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9999999999999999
0.0ms	-0.9625483096727802	-0.0

Compiler

Compiled 32 to 25 computations (21.9% saved)

regimes122.0ms (0.5%)

Counts

25 → 3

Calls

Call 1

Inputs
(*.f64 180 (/.f64 (atan.f64 -1) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 1) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (neg.f64 A) B)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -2 (/.f64 A B))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 B C))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (/.f64 B A))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 2 (/.f64 C B))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 B C) -1/2)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 2 C) B)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 A -2) B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 B A) B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C B) B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 A B) (neg.f64 B))) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (neg.f64 (/.f64 (+.f64 A (neg.f64 A)) B))) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (+.f64 C B) A) B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) B) B)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 1 B) (-.f64 (+.f64 C B) A))) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (-.f64 (/.f64 C B) (+.f64 1 (/.f64 A B)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (+.f64 (.f64 -1/2 (/.f64 B (-.f64 A C))) (*.f64 2 (-.f64 (/.f64 C B) (/.f64 A B))))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 -1/2 (/.f64 (pow.f64 B 2) C)) B)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 1/2 (/.f64 (pow.f64 B 2) A)) B)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 1 B) (*.f64 1/2 (/.f64 (pow.f64 B 2) A)))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 (+.f64 (pow.f64 B 2) 0) (*.f64 B C)) -1/2)) (PI.f64)))

Outputs

(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (+.f64 C B) A) B)) (PI.f64)))

(*.f64 180 (/.f64 (atan.f64 (*.f64 1/2 (/.f64 B A))) (PI.f64)))

(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) B) B)) (PI.f64)))

Calls

3 calls:

48.0ms	B
38.0ms	C
27.0ms	A

Results

Error	Segments	Branch
24.5b	2	`A`
19.9b	3	`B`
21.6b	3	`C`

Compiler

Compiled 301 to 196 computations (34.9% saved)

bsearch123.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
81.0ms	1.9555675174674672e-203	7.389707919855802e-195
42.0ms	4.904076527769317e-255	8.98953459511905e-255

Results

69.0ms	71×	body	4096	valid
24.0ms	22×	body	2048	valid
18.0ms	102×	body	256	valid
6.0ms	12×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 422 to 337 computations (20.1% saved)

regimes121.0ms (0.4%)

Counts

17 → 6

Calls

Call 1

Inputs
(*.f64 180 (/.f64 (atan.f64 -1) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 1) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (neg.f64 A) B)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -2 (/.f64 A B))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 B C))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (/.f64 B A))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 2 (/.f64 C B))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 B C) -1/2)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 2 C) B)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 A -2) B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 B A) B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C B) B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 A B) (neg.f64 B))) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (neg.f64 (/.f64 (+.f64 A (neg.f64 A)) B))) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (+.f64 C B) A) B)) (PI.f64)))

Outputs
(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (+.f64 C B) A) B)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (/.f64 B A))) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (+.f64 C B) A) B)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 B C))) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C B) B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 A B) (neg.f64 B))) (PI.f64)))

Calls

3 calls:

51.0ms	B
36.0ms	A
29.0ms	C

Results

Error	Segments	Branch
24.3b	3	`A`
19.7b	6	`B`
22.0b	3	`C`

Compiler

Compiled 179 to 119 computations (33.5% saved)

bsearch254.0ms (0.9%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
33.0ms	8.96325833199824e+151	1.640233021712309e+154
46.0ms	3.588782395902967e+23	2.0905086625342876e+31
65.0ms	1.6618444050913745e-93	7.433203676404266e-85
71.0ms	1.9555675174674672e-203	7.389707919855802e-195
39.0ms	4.904076527769317e-255	8.98953459511905e-255

Results

72.0ms	82×	body	4096	valid
72.0ms	91×	body	2048	valid
63.0ms	377×	body	256	valid
23.0ms	48×	body	1024	valid
3.0ms	10×	body	512	valid

Compiler

Compiled 1147 to 921 computations (19.7% saved)

regimes108.0ms (0.4%)

Counts

16 → 3

Calls

Call 1

Inputs
(*.f64 180 (/.f64 (atan.f64 -1) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 1) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (neg.f64 A) B)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -2 (/.f64 A B))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 B C))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (/.f64 B A))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 2 (/.f64 C B))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 B C) -1/2)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 2 C) B)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 A -2) B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 B A) B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C B) B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 A B) (neg.f64 B))) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (neg.f64 (/.f64 (+.f64 A (neg.f64 A)) B))) (PI.f64)))

Outputs
(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C B) B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 B A) B)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 B C))) (PI.f64)))

Calls

3 calls:

51.0ms	B
28.0ms	A
25.0ms	C

Results

Error	Segments	Branch
24.3b	3	`A`
22.9b	5	`B`
22.1b	3	`C`

Compiler

Compiled 167 to 113 computations (32.3% saved)

bsearch95.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
44.0ms	4.761122223256717e+62	9.306537459094423e+64
51.0ms	-7.811007470192181e-169	-3.364537801789827e-180

Results

37.0ms	195×	body	256	valid
29.0ms	40×	body	2048	valid
14.0ms	13×	body	4096	valid
7.0ms	12×	body	1024	valid
4.0ms	12×	body	512	valid

Compiler

Compiled 508 to 406 computations (20.1% saved)

regimes111.0ms (0.4%)

Counts

13 → 5

Calls

Call 1

Inputs
(*.f64 180 (/.f64 (atan.f64 -1) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 1) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (neg.f64 A) B)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -2 (/.f64 A B))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 B C))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (/.f64 B A))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 2 (/.f64 C B))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 B C) -1/2)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 2 C) B)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 A -2) B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 B A) B)) (PI.f64)))

Outputs
(*.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (/.f64 B A))) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (neg.f64 A) B)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 B C))) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 -1) (PI.f64)))

Calls

3 calls:

46.0ms	B
40.0ms	A
21.0ms	C

Results

Error	Segments	Branch
24.5b	6	`A`
23.8b	5	`B`
24.3b	3	`C`

Compiler

Compiled 134 to 93 computations (30.6% saved)

bsearch217.0ms (0.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
45.0ms	3.588782395902967e+23	2.0905086625342876e+31
55.0ms	8.162682642449982e-100	1.0342405925426336e-93
71.0ms	1.9555675174674672e-203	7.389707919855802e-195
46.0ms	6.78310062205077e-290	6.280708581625327e-289

Results

83.0ms	92×	body	4096	valid
60.0ms	327×	body	256	valid
49.0ms	75×	body	2048	valid
14.0ms	26×	body	1024	valid
3.0ms	8×	body	512	valid

Compiler

Compiled 902 to 775 computations (14.1% saved)

regimes160.0ms (0.6%)

Counts

11 → 7

Calls

Call 1

Inputs
(*.f64 180 (/.f64 (atan.f64 -1) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 1) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (neg.f64 A) B)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -2 (/.f64 A B))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 B C))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (/.f64 B A))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 2 (/.f64 C B))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 B C) -1/2)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 2 C) B)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 A -2) B)) (PI.f64)))

Outputs
(*.f64 180 (/.f64 (atan.f64 1) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 B C))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 2 (/.f64 C B))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (/.f64 B A))) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (neg.f64 A) B)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 B C))) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 -1) (PI.f64)))

Calls

3 calls:

57.0ms	A
51.0ms	B
48.0ms	C

Results

Error	Segments	Branch
27.9b	10	`A`
24.1b	7	`B`
28.6b	7	`C`

Compiler

Compiled 114 to 81 computations (28.9% saved)

bsearch405.0ms (1.5%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
84.0ms	3.588782395902967e+23	2.0905086625342876e+31
61.0ms	8.162682642449982e-100	1.0342405925426336e-93
134.0ms	1.9555675174674672e-203	7.389707919855802e-195
51.0ms	6.78310062205077e-290	6.280708581625327e-289
50.0ms	-6.274630596855178e-124	-8.288386379653739e-125
24.0ms	-1343210.6810039636	-793397.5379758866

Results

178.0ms	121×	body	4096	valid
110.0ms	397×	body	256	valid
72.0ms	101×	body	2048	valid
26.0ms	48×	body	1024	valid
7.0ms	21×	body	512	valid

Compiler

Compiled 1166 to 1013 computations (13.1% saved)

regimes120.0ms (0.4%)

Counts

7 → 7

Calls

Call 1

Inputs
(*.f64 180 (/.f64 (atan.f64 -1) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 1) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (neg.f64 A) B)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -2 (/.f64 A B))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 B C))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (/.f64 B A))) (PI.f64)))

Outputs
(*.f64 180 (/.f64 (atan.f64 1) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 B C))) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (/.f64 B A))) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (neg.f64 A) B)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 B C))) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 -1) (PI.f64)))

Calls

3 calls:

43.0ms	A
38.0ms	B
35.0ms	C

Results

Error	Segments	Branch
27.9b	10	`A`
24.1b	7	`B`
28.6b	7	`C`

Compiler

Compiled 74 to 55 computations (25.7% saved)

bsearch455.0ms (1.7%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
50.0ms	3.588782395902967e+23	2.0905086625342876e+31
71.0ms	8.162682642449982e-100	1.0342405925426336e-93
167.0ms	1.9555675174674672e-203	7.389707919855802e-195
97.0ms	6.78310062205077e-290	6.280708581625327e-289
47.0ms	-6.274630596855178e-124	-8.288386379653739e-125
21.0ms	-1343210.6810039636	-793397.5379758866

Results

195.0ms	142×	body	2048	valid
156.0ms	111×	body	4096	valid
69.0ms	391×	body	256	valid
19.0ms	34×	body	1024	valid
3.0ms	10×	body	512	valid

Compiler

Compiled 1142 to 989 computations (13.4% saved)

regimes246.0ms (0.9%)

Counts

6 → 7

Calls

Call 1

Inputs
(*.f64 180 (/.f64 (atan.f64 -1) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 1) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (neg.f64 A) B)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -2 (/.f64 A B))) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 B C))) (PI.f64)))

Outputs
(*.f64 180 (/.f64 (atan.f64 1) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 B C))) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (neg.f64 A) B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 B C))) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 -1) (PI.f64)))

Calls

3 calls:

119.0ms	A
91.0ms	C
34.0ms	B

Results

Error	Segments	Branch
33.7b	10	`A`
24.5b	7	`B`
29.8b	4	`C`

Compiler

Compiled 64 to 48 computations (25% saved)

bsearch369.0ms (1.4%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
50.0ms	3.588782395902967e+23	2.0905086625342876e+31
116.0ms	1.6618444050913745e-93	7.433203676404266e-85
64.0ms	4.216433351819877e-136	3.0922084850922e-131
73.0ms	3.284632205813164e-299	6.78310062205077e-290
42.0ms	-6.274630596855178e-124	-8.288386379653739e-125
25.0ms	-1343210.6810039636	-793397.5379758866

Results

134.0ms	444×	body	256	valid
120.0ms	130×	body	4096	valid
80.0ms	110×	body	2048	valid
15.0ms	30×	body	1024	valid
7.0ms	22×	body	512	valid

Compiler

Compiled 1184 to 1019 computations (13.9% saved)

regimes131.0ms (0.5%)

Counts

5 → 5

Calls

Call 1

Inputs
(*.f64 180 (/.f64 (atan.f64 -1) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 1) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (neg.f64 A) B)) (PI.f64)))
(.f64 180 (/.f64 (atan.f64 (.f64 -2 (/.f64 A B))) (PI.f64)))

Outputs
(*.f64 180 (/.f64 (atan.f64 1) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 (neg.f64 A) B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 -1) (PI.f64)))

Calls

3 calls:

69.0ms	C
37.0ms	A
23.0ms	B

Results

Error	Segments	Branch
35.3b	10	`A`
27.0b	5	`B`
38.9b	3	`C`

Compiler

Compiled 54 to 41 computations (24.1% saved)

bsearch251.0ms (0.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
64.0ms	1.6618444050913745e-93	7.433203676404266e-85
69.0ms	4.216433351819877e-136	3.0922084850922e-131
70.0ms	3.284632205813164e-299	6.78310062205077e-290
48.0ms	-1.984492762294591e-5	-2.3574619283060928e-7

Results

103.0ms	114×	body	4096	valid
70.0ms	91×	body	2048	valid
51.0ms	294×	body	256	valid
16.0ms	32×	body	1024	valid
4.0ms	13×	body	512	valid

Compiler

Compiled 834 to 723 computations (13.3% saved)

regimes56.0ms (0.2%)

Counts

3 → 3

Calls

Call 1

Inputs
(*.f64 180 (/.f64 (atan.f64 -1) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 1) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)))

Outputs
(*.f64 180 (/.f64 (atan.f64 1) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 -1) (PI.f64)))

Calls

3 calls:

32.0ms	A
14.0ms	C
9.0ms	B

Results

Error	Segments	Branch
40.6b	10	`A`
28.4b	3	`B`
39.3b	4	`C`

Compiler

Compiled 35 to 28 computations (20% saved)

bsearch166.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
61.0ms	1.6618444050913745e-93	7.433203676404266e-85
104.0ms	-1.984492762294591e-5	-2.3574619283060928e-7

Results

92.0ms	49×	body	2048	valid
32.0ms	31×	body	4096	valid
27.0ms	152×	body	256	valid
9.0ms	17×	body	1024	valid
2.0ms	7×	body	512	valid

Compiler

Compiled 384 to 345 computations (10.2% saved)

regimes104.0ms (0.4%)

Accuracy

Total -25.9b remaining (-70%)

Threshold costs -25.9b (-70%)

Counts

2 → 2

Calls

Call 1

Inputs
(*.f64 180 (/.f64 (atan.f64 -1) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 1) (PI.f64)))

Outputs
(*.f64 180 (/.f64 (atan.f64 1) (PI.f64)))
(*.f64 180 (/.f64 (atan.f64 -1) (PI.f64)))

Calls

3 calls:

72.0ms	B
23.0ms	A
8.0ms	C

Results

Error	Segments	Branch
44.5b	8	`A`
37.0b	2	`B`
47.8b	2	`C`

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch84.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
84.0ms	-3.3745986952800027e-305	6.681834879353531e-305

Results

56.0ms	57×	body	4096	valid
15.0ms	20×	body	2048	valid
11.0ms	66×	body	256	valid
1.0ms	1×	body	1024	valid

Compiler

Compiled 212 to 205 computations (3.3% saved)

simplify23.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	211	1926

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (/.f64 1 B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))) -1/2) (.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) B) B)) (PI.f64))) (if (<=.f64 (.f64 (/.f64 1 B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))) 0) (.f64 180 (/.f64 (atan.f64 (.f64 1/2 (+.f64 (.f64 B (/.f64 C (pow.f64 A 2))) (/.f64 B A)))) (PI.f64))) (*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (+.f64 C B) A) B)) (PI.f64)))))
(if (<=.f64 B 2113178124542661/264147265567832623176169892458258303259423663018060761063980354513336951278362429737208627943828593947337197496628564339441173779751342768625269489231469788454193341999502542084365758838213220526512116454105594202074014146375780869419198449383518238244769290448868999168) (.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (+.f64 C B) A) B)) (PI.f64))) (if (<=.f64 B 1268600020513457/5515652263101987298728728207430913795608113109085112352897269396216198887424215820128660001943808587833784893551335930816647064191168732319583111500951066614122648616177179922993422016587311577585463592732098692120576) (.f64 180 (/.f64 (atan.f64 (.f64 1/2 (/.f64 B A))) (PI.f64))) (.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) B) B)) (PI.f64)))))
(if (<=.f64 B 250939902289441/33018408195979077897021236557282287907427957877257595132997544314167118909795303717151078492978574243417149687078570542430146722468917846078158686153933723556774167749937817760545719854776652565814014556763199275259251768296972608677399806172939779780596161306108624896) (.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (+.f64 C B) A) B)) (PI.f64))) (if (<=.f64 B 654983706243361/172364133221937103085272756482216056112753534658909761028039668631756215232006744379020625060744018369805777923479247838020220755974022884986972234404720831691332769255536872593544438018353486799545737272878084128768) (.f64 180 (/.f64 (atan.f64 (.f64 1/2 (/.f64 B A))) (PI.f64))) (if (<=.f64 B 1761406937080375/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) (.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (+.f64 C B) A) B)) (PI.f64))) (if (<=.f64 B 359999999999999983222784) (.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 B C))) (PI.f64))) (if (<=.f64 B 95000000000000000905026852490076425664410680912897289169815759542082236714937712310145665943783221909673135901900091369713324094962965625836926591303680) (.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C B) B)) (PI.f64))) (.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 A B) (neg.f64 B))) (PI.f64))))))))
(if (<=.f64 C -4873212329613551/17404329748619824289860426352311291980336107281679382059399385520550823849520406290076876874227033232798165548605325345270876711736203910820971150664223534348495463082734165001231667298304) (.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C B) B)) (PI.f64))) (if (<=.f64 C 4799999999999999985417880258908871530751251164783590172042199040) (.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 B A) B)) (PI.f64))) (.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 B C))) (PI.f64)))))
(if (<=.f64 B 3291674441276213/21944496275174754733023745004748837080297570543729328280448007953824789527038691788660702798145451174453138901351488446979832735450978591612896414872982681198457994802840025058142360791167736098566050165049439180766375815715632675961171034001565824849041810386302038359368560295224574744242597208206082048) (.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64))) (if (<=.f64 B 8942231032632235/10520271803096747014481979765760257331100679605646347718996561806137464308594161644227333072555176902453965937712356435426038864500367607726255629541303761699910447342256889196383327515768645434542586503471562752) (.f64 180 (/.f64 (atan.f64 (.f64 1/2 (/.f64 B A))) (PI.f64))) (if (<=.f64 B 8830520111229613/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808) (.f64 180 (/.f64 (atan.f64 (/.f64 (neg.f64 A) B)) (PI.f64))) (if (<=.f64 B 359999999999999983222784) (.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 B C))) (PI.f64))) (*.f64 180 (/.f64 (atan.f64 -1) (PI.f64)))))))
(if (<=.f64 B -1000000) (.f64 180 (/.f64 (atan.f64 1) (PI.f64))) (if (<=.f64 B -4096532826647573/47634102635436893179040485073748265163400240214004076398607741693502376385799646303105256699577209032590132615988260237052123652332890095616) (.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 B C))) (PI.f64))) (if (<=.f64 B 1075280317483563/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024) (.f64 180 (/.f64 (atan.f64 (.f64 2 (/.f64 C B))) (PI.f64))) (if (<=.f64 B 4633147901005669/11031304526203974597457456414861827591216226218170224705794538792432397774848431640257320003887617175667569787102671861633294128382337464639166223001902133228245297232354359845986844033174623155170927185464197384241152) (.f64 180 (/.f64 (atan.f64 (.f64 1/2 (/.f64 B A))) (PI.f64))) (if (<=.f64 B 3126379886188527/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856) (.f64 180 (/.f64 (atan.f64 (/.f64 (neg.f64 A) B)) (PI.f64))) (if (<=.f64 B 3299999999999999796458815488) (.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 B C))) (PI.f64))) (*.f64 180 (/.f64 (atan.f64 -1) (PI.f64)))))))))
(if (<=.f64 B -800000) (.f64 180 (/.f64 (atan.f64 1) (PI.f64))) (if (<=.f64 B -5716092316252427/23817051317718446589520242536874132581700120107002038199303870846751188192899823151552628349788604516295066307994130118526061826166445047808) (.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 B C))) (PI.f64))) (if (<=.f64 B 6144458957048931/43888992550349509466047490009497674160595141087458656560896015907649579054077383577321405596290902348906277802702976893959665470901957183225792829745965362396915989605680050116284721582335472197132100330098878361532751631431265351922342068003131649698083620772604076718737120590449149488485194416412164096) (.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) (if (<=.f64 B 2693189581592767/5386379163185534471414773640069251753523547958090930032126239644742381726000210761844394533148250574056430560108726494938131898624188215155842882325147525990354149039235527268548263688073546462485804289777440129024) (.f64 180 (/.f64 (atan.f64 (.f64 1/2 (/.f64 B A))) (PI.f64))) (if (<=.f64 B 1382821872737233/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856) (.f64 180 (/.f64 (atan.f64 (/.f64 (neg.f64 A) B)) (PI.f64))) (if (<=.f64 B 33999999999999998355832832) (.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 B C))) (PI.f64))) (.f64 180 (/.f64 (atan.f64 -1) (PI.f64)))))))))
(if (<=.f64 B -820000) (.f64 180 (/.f64 (atan.f64 1) (PI.f64))) (if (<=.f64 B -8574138474378641/95268205270873786358080970147496530326800480428008152797215483387004752771599292606210513399154418065180265231976520474104247304665780191232) (.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 B C))) (PI.f64))) (if (<=.f64 B 5655053629744163/11781361728633673532894774498354952494238773929196300355071513798753168641589311119865182769801300280680127783231251635087526446289021607771691249214388576215221396663491984443067742263787264024212477244347842938066577043117995647400274369612403653814737339068225047641453182709824206687753689912418253153056587776) (.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) (if (<=.f64 B 1318626587653475/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056) (.f64 180 (/.f64 (atan.f64 (/.f64 (neg.f64 A) B)) (PI.f64))) (if (<=.f64 B 7167183174968973/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104) (.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) (if (<=.f64 B 57999999999999997953179648) (.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 B C))) (PI.f64))) (*.f64 180 (/.f64 (atan.f64 -1) (PI.f64)))))))))
(if (<=.f64 B -2597301565578305/1180591620717411303424) (.f64 180 (/.f64 (atan.f64 1) (PI.f64))) (if (<=.f64 B 4712544691453469/94250893829069388263158195986839619953910191433570402840572110390025349132714488958921462158410402245441022265850013080700211570312172862173529993715108609721771173307935875544541938110298112193699817954782743504532616344943965179202194956899229230517898712545800381131625461678593653502029519299346025224452702208) (.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) (if (<=.f64 B 5564764033423441/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344) (.f64 180 (/.f64 (atan.f64 (/.f64 (neg.f64 A) B)) (PI.f64))) (if (<=.f64 B 46479077901639/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728) (.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) (*.f64 180 (/.f64 (atan.f64 -1) (PI.f64)))))))
(if (<=.f64 B -2833419889721787/4722366482869645213696) (.f64 180 (/.f64 (atan.f64 1) (PI.f64))) (if (<=.f64 B 8958978968711217/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104) (.f64 180 (/.f64 (atan.f64 (/.f64 C B)) (PI.f64))) (*.f64 180 (/.f64 (atan.f64 -1) (PI.f64)))))
(if (<=.f64 B -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696) (.f64 180 (/.f64 (atan.f64 1) (PI.f64))) (.f64 180 (/.f64 (atan.f64 -1) (PI.f64))))
(*.f64 180 (/.f64 (atan.f64 -1) (PI.f64)))

Outputs
(if (<=.f64 (.f64 (/.f64 1 B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))) -1/2) (.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) B) B)) (PI.f64))) (if (<=.f64 (.f64 (/.f64 1 B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))) 0) (.f64 180 (/.f64 (atan.f64 (.f64 1/2 (+.f64 (.f64 B (/.f64 C (pow.f64 A 2))) (/.f64 B A)))) (PI.f64))) (*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (+.f64 C B) A) B)) (PI.f64)))))
(if (<=.f64 B 2113178124542661/264147265567832623176169892458258303259423663018060761063980354513336951278362429737208627943828593947337197496628564339441173779751342768625269489231469788454193341999502542084365758838213220526512116454105594202074014146375780869419198449383518238244769290448868999168) (.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (+.f64 C B) A) B)) (PI.f64))) (if (<=.f64 B 1268600020513457/5515652263101987298728728207430913795608113109085112352897269396216198887424215820128660001943808587833784893551335930816647064191168732319583111500951066614122648616177179922993422016587311577585463592732098692120576) (.f64 180 (/.f64 (atan.f64 (.f64 1/2 (/.f64 B A))) (PI.f64))) (.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) B) B)) (PI.f64)))))
(if (<=.f64 B 250939902289441/33018408195979077897021236557282287907427957877257595132997544314167118909795303717151078492978574243417149687078570542430146722468917846078158686153933723556774167749937817760545719854776652565814014556763199275259251768296972608677399806172939779780596161306108624896) (.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (+.f64 C B) A) B)) (PI.f64))) (if (<=.f64 B 654983706243361/172364133221937103085272756482216056112753534658909761028039668631756215232006744379020625060744018369805777923479247838020220755974022884986972234404720831691332769255536872593544438018353486799545737272878084128768) (.f64 180 (/.f64 (atan.f64 (.f64 1/2 (/.f64 B A))) (PI.f64))) (if (<=.f64 B 1761406937080375/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) (.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (+.f64 C B) A) B)) (PI.f64))) (if (<=.f64 B 359999999999999983222784) (.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 B C))) (PI.f64))) (if (<=.f64 B 95000000000000000905026852490076425664410680912897289169815759542082236714937712310145665943783221909673135901900091369713324094962965625836926591303680) (.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C B) B)) (PI.f64))) (.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 A B) (neg.f64 B))) (PI.f64))))))))
(if (<=.f64 C -4873212329613551/17404329748619824289860426352311291980336107281679382059399385520550823849520406290076876874227033232798165548605325345270876711736203910820971150664223534348495463082734165001231667298304) (.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C B) B)) (PI.f64))) (if (<=.f64 C 4799999999999999985417880258908871530751251164783590172042199040) (.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 B A) B)) (PI.f64))) (.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 B C))) (PI.f64)))))
(if (<=.f64 B 3291674441276213/21944496275174754733023745004748837080297570543729328280448007953824789527038691788660702798145451174453138901351488446979832735450978591612896414872982681198457994802840025058142360791167736098566050165049439180766375815715632675961171034001565824849041810386302038359368560295224574744242597208206082048) (.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 C B) B)) (PI.f64))) (if (<=.f64 B 8942231032632235/10520271803096747014481979765760257331100679605646347718996561806137464308594161644227333072555176902453965937712356435426038864500367607726255629541303761699910447342256889196383327515768645434542586503471562752) (.f64 180 (/.f64 (atan.f64 (.f64 1/2 (/.f64 B A))) (PI.f64))) (if (<=.f64 B 8830520111229613/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808) (.f64 180 (/.f64 (atan.f64 (/.f64 (neg.f64 A) B)) (PI.f64))) (if (<=.f64 B 359999999999999983222784) (.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 B C))) (PI.f64))) (*.f64 180 (/.f64 (atan.f64 -1) (PI.f64)))))))
(if (<=.f64 B -1000000) (.f64 180 (/.f64 (atan.f64 1) (PI.f64))) (if (<=.f64 B -4096532826647573/47634102635436893179040485073748265163400240214004076398607741693502376385799646303105256699577209032590132615988260237052123652332890095616) (.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 B C))) (PI.f64))) (if (<=.f64 B 1075280317483563/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024) (.f64 180 (/.f64 (atan.f64 (.f64 2 (/.f64 C B))) (PI.f64))) (if (<=.f64 B 4633147901005669/11031304526203974597457456414861827591216226218170224705794538792432397774848431640257320003887617175667569787102671861633294128382337464639166223001902133228245297232354359845986844033174623155170927185464197384241152) (.f64 180 (/.f64 (atan.f64 (.f64 1/2 (/.f64 B A))) (PI.f64))) (if (<=.f64 B 3126379886188527/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856) (.f64 180 (/.f64 (atan.f64 (/.f64 (neg.f64 A) B)) (PI.f64))) (if (<=.f64 B 3299999999999999796458815488) (.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 B C))) (PI.f64))) (*.f64 180 (/.f64 (atan.f64 -1) (PI.f64)))))))))
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(*.f64 180 (/.f64 (atan.f64 -1) (PI.f64)))

Compiler

Compiled 698 to 495 computations (29.1% saved)

soundness113.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1888×	`rational.json-simplify-35`
1218×	`rational.json-simplify-46`
778×	`rational.json-simplify-48`
670×	`rational.json-simplify-51`
636×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	633	14609
1	1616	14323
2	4198	14193
3	6670	14141

Stop Event

1×	node limit

Compiler

Compiled 99 to 63 computations (36.4% saved)

end288.0ms (1.1%)

Compiler: Compiled 665 to 395 computations (40.6% saved)