Details

analyze498.0ms (2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
0%	0%	50%	50%	0%	0%	0%	1
0%	0%	50%	50%	0%	0%	0%	2
0%	0%	50%	50%	0%	0%	0%	3
0%	0%	50%	50%	0%	0%	0%	4
6.3%	3.1%	46.8%	50%	0%	0%	0%	5
9.4%	4.7%	45.3%	50%	0%	0%	0%	6
10.9%	5.5%	44.5%	50%	0%	0%	0%	7
11.7%	5.9%	44.1%	50%	0%	0%	0%	8
12.1%	6%	43.9%	50%	0%	0%	0%	9
12.3%	6.1%	43.8%	50%	0%	0%	0%	10
12.4%	6.2%	43.8%	50%	0%	0%	0%	11
12.5%	6.2%	43.7%	50%	0%	0%	0%	12

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample5.1s (20.3%)

Results

3.5s	4128×	body	1024	valid
926.0ms	2111×	body	512	valid
430.0ms	416×	body	2048	valid
313.0ms	1601×	body	256	valid

Bogosity

preprocess6.4s (25.3%)

Algorithm

2×	egg-herbie

Rules

20848×	`rational.json-simplify-41`
2328×	`rational.json-simplify-1`
648×	`rational.json-simplify-35`
2×	`rational.json-simplify-17`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	16	27
2	19	27
3	26	27
4	41	27
5	84	27
6	208	27
7	603	27
8	765	27
9	768	27
10	771	27
11	774	27
12	777	27
13	780	27
14	783	27
15	786	27
16	789	27
17	792	27
18	795	27
19	798	27
20	801	27
21	804	27
22	807	27
23	2680	27
24	2683	27
25	2686	27
26	2689	27
27	2692	27
28	2695	27
29	3501	27
30	3504	27
31	3507	27
32	3510	27
33	3513	27
34	3516	27
35	3519	27
36	3522	27
37	3525	27
38	3528	27
39	3531	27
40	3534	27
41	3537	27
42	3540	27
43	3543	27
44	3546	27
45	3549	27
46	3552	27
47	3555	27
48	3558	27
49	3561	27
50	3564	27
51	3567	27
52	3570	27
53	3573	27
54	3576	27
55	3579	27
56	3582	27
57	3585	27
58	3588	27
59	3591	27
60	3594	27
61	3597	27
62	3600	27
63	3603	27
64	3606	27
65	3609	27
66	3612	27
67	3615	27
68	3618	27
69	3621	27
70	3624	27
71	3627	27
72	3630	27
73	3633	27
74	3636	27
75	3639	27
76	3642	27
77	3645	27
78	3648	27
79	3651	27
80	3654	27
81	3657	27
82	3660	27
83	3663	27
84	3666	27
85	3669	27
86	3672	27
87	3675	27
88	3678	27
89	3681	27
90	3684	27
91	3687	27
92	3690	27
93	3693	27
94	3696	27
95	3699	27
96	3702	27
97	3705	27
98	3708	27
99	3711	27
100	3714	27
101	3717	27
102	3720	27
103	3723	27
104	3726	27
105	3729	27
106	3732	27
107	3735	27
108	3738	27
109	3741	27
110	3744	27
111	3747	27
112	3750	27
113	3753	27
114	3756	27
115	3759	27
116	3762	27
117	3765	27
118	3768	27
119	3771	27
120	3774	27
121	3777	27
122	3780	27
123	3783	27
124	3786	27
125	3789	27
126	3792	27
127	3795	27
128	3798	27
129	3801	27
130	3804	27
131	3807	27
132	3810	27
133	3813	27
134	3816	27
135	3819	27
136	3822	27
137	3825	27
138	3828	27
139	3831	27
140	3834	27
141	3837	27
142	3840	27
143	3843	27
144	3846	27
145	3849	27
146	3852	27
147	3855	27
148	3858	27
149	3861	27
150	3864	27
151	3867	27
152	3870	27
153	3873	27
154	3876	27
155	3879	27
156	3882	27
157	3885	27
158	3888	27
159	3891	27
160	3894	27
161	3897	27
162	3900	27
163	3903	27
164	3906	27
165	3909	27
166	3912	27
167	3915	27
168	3918	27
169	3921	27
170	3924	27
171	3927	27
172	3930	27
173	3933	27
174	3936	27
175	3939	27
176	3942	27
177	3945	27
178	3948	27
179	3951	27
180	3954	27
181	3957	27
182	3960	27
183	3963	27
184	3966	27
185	3969	27
186	3972	27
187	3975	27
188	3978	27
189	3981	27
190	3984	27
191	3987	27
192	3990	27
193	3993	27
194	3996	27
195	3999	27
196	4002	27
197	4005	27
198	4008	27
199	4011	27
200	4014	27
201	4017	27
202	4020	27
203	4023	27
204	4026	27
205	4029	27
206	4032	27
207	4035	27
208	4038	27
209	4041	27
210	4044	27
211	4047	27
212	4050	27
213	4053	27
214	4056	27
215	4059	27
216	4062	27
217	4065	27
218	4068	27
219	4071	27
220	4074	27
221	4077	27
222	4080	27
223	4083	27
224	4086	27
225	4089	27
226	4092	27
227	4095	27
228	4098	27
229	4101	27
230	4104	27
231	4107	27
232	4110	27
233	4113	27
234	4116	27
235	4119	27
236	4122	27
237	4125	27
238	4128	27
239	4131	27
240	4134	27
241	4137	27
242	4140	27
243	4143	27
244	4146	27
245	4149	27
246	4152	27
247	4155	27
248	4158	27
249	4161	27
250	4164	27
251	4167	27
252	4170	27
253	4173	27
254	4176	27
255	4179	27
256	4182	27
257	4185	27
258	4188	27
259	4191	27
260	4194	27
261	4197	27
262	4200	27
263	4203	27
264	4206	27
265	4209	27
266	4212	27
267	4215	27
268	4218	27
269	4221	27
270	4224	27
271	4227	27
272	4230	27
273	4233	27
274	4236	27
275	4239	27
276	4242	27
277	4245	27
278	4248	27
279	4251	27
280	4254	27
281	4257	27
282	4260	27
283	4263	27
284	4266	27
285	4269	27
286	4272	27
287	4275	27
288	4278	27
289	4281	27
290	4284	27
291	4287	27
292	4290	27
293	4293	27
294	4296	27
295	4299	27
296	4302	27
297	4305	27
298	4308	27
299	4311	27
300	4314	27
301	4317	27
302	4320	27
303	4323	27
304	4326	27
305	4329	27
306	4332	27
307	4335	27
308	4338	27
309	4341	27
310	4344	27
311	4347	27
312	4350	27
313	4353	27
314	4356	27
315	4359	27
316	4362	27
317	4365	27
318	4368	27
319	4371	27
320	4374	27
321	4377	27
322	4380	27
323	4383	27
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))

Outputs
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify6.4s (25.2%)

Algorithm

1×	egg-herbie

Rules

20848×	`rational.json-simplify-41`
2328×	`rational.json-simplify-1`
648×	`rational.json-simplify-35`
2×	`rational.json-simplify-17`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	16	27
2	19	27
3	26	27
4	41	27
5	84	27
6	208	27
7	603	27
8	765	27
9	768	27
10	771	27
11	774	27
12	777	27
13	780	27
14	783	27
15	786	27
16	789	27
17	792	27
18	795	27
19	798	27
20	801	27
21	804	27
22	807	27
23	2680	27
24	2683	27
25	2686	27
26	2689	27
27	2692	27
28	2695	27
29	3501	27
30	3504	27
31	3507	27
32	3510	27
33	3513	27
34	3516	27
35	3519	27
36	3522	27
37	3525	27
38	3528	27
39	3531	27
40	3534	27
41	3537	27
42	3540	27
43	3543	27
44	3546	27
45	3549	27
46	3552	27
47	3555	27
48	3558	27
49	3561	27
50	3564	27
51	3567	27
52	3570	27
53	3573	27
54	3576	27
55	3579	27
56	3582	27
57	3585	27
58	3588	27
59	3591	27
60	3594	27
61	3597	27
62	3600	27
63	3603	27
64	3606	27
65	3609	27
66	3612	27
67	3615	27
68	3618	27
69	3621	27
70	3624	27
71	3627	27
72	3630	27
73	3633	27
74	3636	27
75	3639	27
76	3642	27
77	3645	27
78	3648	27
79	3651	27
80	3654	27
81	3657	27
82	3660	27
83	3663	27
84	3666	27
85	3669	27
86	3672	27
87	3675	27
88	3678	27
89	3681	27
90	3684	27
91	3687	27
92	3690	27
93	3693	27
94	3696	27
95	3699	27
96	3702	27
97	3705	27
98	3708	27
99	3711	27
100	3714	27
101	3717	27
102	3720	27
103	3723	27
104	3726	27
105	3729	27
106	3732	27
107	3735	27
108	3738	27
109	3741	27
110	3744	27
111	3747	27
112	3750	27
113	3753	27
114	3756	27
115	3759	27
116	3762	27
117	3765	27
118	3768	27
119	3771	27
120	3774	27
121	3777	27
122	3780	27
123	3783	27
124	3786	27
125	3789	27
126	3792	27
127	3795	27
128	3798	27
129	3801	27
130	3804	27
131	3807	27
132	3810	27
133	3813	27
134	3816	27
135	3819	27
136	3822	27
137	3825	27
138	3828	27
139	3831	27
140	3834	27
141	3837	27
142	3840	27
143	3843	27
144	3846	27
145	3849	27
146	3852	27
147	3855	27
148	3858	27
149	3861	27
150	3864	27
151	3867	27
152	3870	27
153	3873	27
154	3876	27
155	3879	27
156	3882	27
157	3885	27
158	3888	27
159	3891	27
160	3894	27
161	3897	27
162	3900	27
163	3903	27
164	3906	27
165	3909	27
166	3912	27
167	3915	27
168	3918	27
169	3921	27
170	3924	27
171	3927	27
172	3930	27
173	3933	27
174	3936	27
175	3939	27
176	3942	27
177	3945	27
178	3948	27
179	3951	27
180	3954	27
181	3957	27
182	3960	27
183	3963	27
184	3966	27
185	3969	27
186	3972	27
187	3975	27
188	3978	27
189	3981	27
190	3984	27
191	3987	27
192	3990	27
193	3993	27
194	3996	27
195	3999	27
196	4002	27
197	4005	27
198	4008	27
199	4011	27
200	4014	27
201	4017	27
202	4020	27
203	4023	27
204	4026	27
205	4029	27
206	4032	27
207	4035	27
208	4038	27
209	4041	27
210	4044	27
211	4047	27
212	4050	27
213	4053	27
214	4056	27
215	4059	27
216	4062	27
217	4065	27
218	4068	27
219	4071	27
220	4074	27
221	4077	27
222	4080	27
223	4083	27
224	4086	27
225	4089	27
226	4092	27
227	4095	27
228	4098	27
229	4101	27
230	4104	27
231	4107	27
232	4110	27
233	4113	27
234	4116	27
235	4119	27
236	4122	27
237	4125	27
238	4128	27
239	4131	27
240	4134	27
241	4137	27
242	4140	27
243	4143	27
244	4146	27
245	4149	27
246	4152	27
247	4155	27
248	4158	27
249	4161	27
250	4164	27
251	4167	27
252	4170	27
253	4173	27
254	4176	27
255	4179	27
256	4182	27
257	4185	27
258	4188	27
259	4191	27
260	4194	27
261	4197	27
262	4200	27
263	4203	27
264	4206	27
265	4209	27
266	4212	27
267	4215	27
268	4218	27
269	4221	27
270	4224	27
271	4227	27
272	4230	27
273	4233	27
274	4236	27
275	4239	27
276	4242	27
277	4245	27
278	4248	27
279	4251	27
280	4254	27
281	4257	27
282	4260	27
283	4263	27
284	4266	27
285	4269	27
286	4272	27
287	4275	27
288	4278	27
289	4281	27
290	4284	27
291	4287	27
292	4290	27
293	4293	27
294	4296	27
295	4299	27
296	4302	27
297	4305	27
298	4308	27
299	4311	27
300	4314	27
301	4317	27
302	4320	27
303	4323	27
304	4326	27
305	4329	27
306	4332	27
307	4335	27
308	4338	27
309	4341	27
310	4344	27
311	4347	27
312	4350	27
313	4353	27
314	4356	27
315	4359	27
316	4362	27
317	4365	27
318	4368	27
319	4371	27
320	4374	27
321	4377	27
322	4380	27
323	4383	27

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))

Outputs
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))

eval0.0ms (0%)

Compiler: Compiled 10 to 8 computations (20% 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

61.4b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	61.4b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))

Compiler

Compiled 10 to 8 computations (20% saved)

localize12.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
✓	4.2b	(log.f64 (-.f64 1 x))
✓	4.2b	(log.f64 (+.f64 1 x))

Compiler

Compiled 26 to 19 computations (26.9% saved)

series5.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
1.0ms	x	@	inf	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
0.0ms	x	@	0	(log.f64 (+.f64 1 x))
0.0ms	x	@	-inf	(log.f64 (+.f64 1 x))
0.0ms	x	@	inf	(log.f64 (+.f64 1 x))

rewrite89.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1434×	`rational.json-1`
1434×	`rational.json-2`
1434×	`rational.json-3`
1408×	`rational.json-4`
1400×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	49
1	77	49
2	186	49
3	407	49
4	987	49
5	3788	49

Stop Event

1×	node limit

Counts

3 → 159

Calls

Call 1

Inputs
(log.f64 (+.f64 1 x))
(log.f64 (-.f64 1 x))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))

Outputs
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Outputs

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

simplify158.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1076×	`rational.json-simplify-55`
766×	`rational.json-simplify-50`
596×	`rational.json-simplify-43`
590×	`rational.json-simplify-44`
574×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	418	8497
1	921	8299
2	4147	7679
3	6581	7497

Stop Event

1×	node limit

Counts

195 → 292

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) x)))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(*.f64 -1 x)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (*.f64 -1 x)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 -1 x) (.f64 -1/4 (pow.f64 x 4)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (/.f64 1 x))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x))
(-.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))) (/.f64 2 (.f64 (log.f64 (/.f64 1 x)) x))) (/.f64 (log.f64 -1) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (/.f64 (log.f64 -1) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)) (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2)))))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (.f64 1/3 (/.f64 1 (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x))))))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (+.f64 (.f64 1/3 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 3)))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2)))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 -1 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (log.f64 (/.f64 1 x)))))) (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (/.f64 (log.f64 -1) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x))))))))
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(neg.f64 (/.f64 (neg.f64 (log.f64 (-.f64 1 x))) (log.f64 (+.f64 1 x))))
(neg.f64 (/.f64 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x))) (neg.f64 (*.f64 (log.f64 (+.f64 1 x)) (/.f64 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x))) (log.f64 (-.f64 1 x)))))))
(neg.f64 (/.f64 (.f64 (log.f64 (-.f64 1 x)) -2) (.f64 (log.f64 (+.f64 1 x)) 2)))
(log.f64 (pow.f64 (-.f64 1 x) (/.f64 1 (log.f64 (+.f64 1 x)))))
(log.f64 (pow.f64 (pow.f64 (+.f64 x -1) 2) (/.f64 1/2 (log.f64 (+.f64 1 x)))))

Outputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/3 (pow.f64 x 3))))
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) x)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x (*.f64 -1/4 (pow.f64 x 4)))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 -1/4 (pow.f64 x 4)))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(+.f64 (/.f64 1 x) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (/.f64 1 x) (neg.f64 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 x) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 x) (neg.f64 (log.f64 (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (-.f64 (neg.f64 (log.f64 (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 1 x) (.f64 1/3 (/.f64 1 (pow.f64 x 3))))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (+.f64 (/.f64 1 x) (neg.f64 (log.f64 (/.f64 1 x)))) (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (-.f64 (+.f64 (/.f64 1 x) (.f64 1/3 (/.f64 1 (pow.f64 x 3)))) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 x) (log.f64 -1)))
(+.f64 (/.f64 1 x) (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (+.f64 (/.f64 1 x) (log.f64 -1)) (-.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (-.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (log.f64 -1))) (-.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (+.f64 (/.f64 1 x) (+.f64 (log.f64 -1) (.f64 1/3 (/.f64 1 (pow.f64 x 3))))) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (+.f64 (/.f64 1 x) (log.f64 -1)) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (neg.f64 (log.f64 (/.f64 -1 x))))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (+.f64 (/.f64 1 x) (.f64 1/3 (/.f64 1 (pow.f64 x 3)))) (-.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(*.f64 -1 x)
(*.f64 x -1)
(neg.f64 x)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 x -1))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (neg.f64 x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (*.f64 -1 x)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 x -1) (*.f64 (pow.f64 x 3) -1/3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (neg.f64 x) (.f64 (pow.f64 x 3) -1/3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 -1 x) (.f64 -1/4 (pow.f64 x 4)))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 x -1) (+.f64 (.f64 -1/4 (pow.f64 x 4)) (.f64 (pow.f64 x 3) -1/3))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/4 (pow.f64 x 4)) (+.f64 (neg.f64 x) (*.f64 (pow.f64 x 3) -1/3))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))
(+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (log.f64 -1))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (/.f64 1 x))
(+.f64 (log.f64 -1) (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)))
(+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (-.f64 (log.f64 -1) (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(+.f64 (log.f64 -1) (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (log.f64 -1)) (+.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (-.f64 (log.f64 -1) (+.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(+.f64 (log.f64 -1) (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (*.f64 1/3 (/.f64 1 (pow.f64 x 3)))))))
(-.f64 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (log.f64 -1)) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (.f64 1/3 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (log.f64 -1) (-.f64 (neg.f64 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (.f64 1/3 (/.f64 1 (pow.f64 x 3)))))))
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(neg.f64 (log.f64 (/.f64 -1 x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 1 x))
(-.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(-.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (*.f64 1/3 (/.f64 1 (pow.f64 x 3))))))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (.f64 1/3 (/.f64 1 (pow.f64 x 3))))))
-1
(-.f64 (*.f64 -1 x) 1)
(+.f64 (*.f64 x -1) -1)
(+.f64 -1 (neg.f64 x))
(-.f64 -1 x)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (.f64 x -1) (-.f64 (.f64 -1/2 (pow.f64 x 2)) 1))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 -1 (neg.f64 x)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(+.f64 (+.f64 (.f64 x -1) (.f64 (pow.f64 x 3) -5/12)) (-.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 (+.f64 (neg.f64 x) (.f64 (pow.f64 x 3) -5/12)) 1))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (neg.f64 x) (-.f64 (.f64 (pow.f64 x 3) -5/12) 1)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 x 3) -5/12) (-.f64 -1 x)))
(.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))) (/.f64 2 (.f64 (log.f64 (/.f64 1 x)) x))) (/.f64 (log.f64 -1) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)))
(+.f64 (/.f64 2 (.f64 x (log.f64 (/.f64 1 x)))) (-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2)))))
(+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))) (-.f64 (/.f64 2 (.f64 x (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2)))))
(+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))) (-.f64 (/.f64 2 (*.f64 x (log.f64 (/.f64 1 x)))) (/.f64 (/.f64 (log.f64 -1) x) (pow.f64 (log.f64 (/.f64 1 x)) 2))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (/.f64 (log.f64 -1) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)) (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2)))))))
(+.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))) (.f64 1/2 (/.f64 (/.f64 1 (log.f64 (/.f64 1 x))) (pow.f64 x 2)))) (-.f64 (.f64 2 (/.f64 1 (.f64 x (log.f64 (/.f64 1 x))))) (+.f64 (/.f64 (log.f64 -1) (.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (pow.f64 (.f64 x (log.f64 (/.f64 1 x))) 2))) (.f64 -1 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x)))))))))
(+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x)))))) (-.f64 (.f64 2 (/.f64 1 (.f64 x (log.f64 (/.f64 1 x))))) (+.f64 (neg.f64 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))) (+.f64 (/.f64 (log.f64 -1) (.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 -1/2 (/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (log.f64 -1)) (pow.f64 (*.f64 x (log.f64 (/.f64 1 x))) 2)))))))
(-.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))) (+.f64 (.f64 2 (/.f64 1 (.f64 x (log.f64 (/.f64 1 x))))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))))) (+.f64 (/.f64 (/.f64 (log.f64 -1) x) (pow.f64 (log.f64 (/.f64 1 x)) 2)) (+.f64 (neg.f64 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))) (.f64 -1/2 (/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (log.f64 -1)) (pow.f64 (.f64 x (log.f64 (/.f64 1 x))) 2))))))
(+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))) (-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 x (log.f64 (/.f64 1 x))))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x)))))) (+.f64 (/.f64 (/.f64 (log.f64 -1) x) (pow.f64 (log.f64 (/.f64 1 x)) 2)) (+.f64 (neg.f64 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))) (.f64 -1/2 (/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (log.f64 -1)) (pow.f64 (.f64 x (log.f64 (/.f64 1 x))) 2)))))))
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(.f64 (/.f64 1/2 (log.f64 (-.f64 1 x))) (/.f64 (/.f64 (.f64 2 (log.f64 (+.f64 x 1))) (log.f64 (+.f64 x 1))) (/.f64 (log.f64 (+.f64 x 1)) (*.f64 (log.f64 (-.f64 1 x)) (log.f64 (-.f64 1 x))))))
(*.f64 (/.f64 1/2 (log.f64 (-.f64 1 x))) (/.f64 (log.f64 (-.f64 1 x)) (/.f64 (/.f64 (log.f64 (+.f64 x 1)) (log.f64 (-.f64 1 x))) (/.f64 (log.f64 (+.f64 x 1)) (log.f64 (sqrt.f64 (+.f64 x 1)))))))
(.f64 (/.f64 1/2 (log.f64 (-.f64 1 x))) (/.f64 (.f64 (log.f64 (-.f64 1 x)) (log.f64 (-.f64 1 x))) (log.f64 (sqrt.f64 (+.f64 x 1)))))
(.f64 (/.f64 (log.f64 (+.f64 1 x)) (neg.f64 (.f64 (log.f64 (+.f64 1 x)) (/.f64 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x))) (log.f64 (-.f64 1 x)))))) (/.f64 -1 (log.f64 (-.f64 1 x))))
(.f64 (log.f64 (+.f64 x 1)) (/.f64 (/.f64 (/.f64 1 (log.f64 (-.f64 1 x))) (log.f64 (+.f64 x 1))) (/.f64 (log.f64 (+.f64 x 1)) (.f64 (log.f64 (-.f64 1 x)) (log.f64 (-.f64 1 x))))))
(.f64 (log.f64 (+.f64 x 1)) (/.f64 1 (.f64 (log.f64 (-.f64 1 x)) (.f64 (log.f64 (+.f64 x 1)) (/.f64 (log.f64 (+.f64 x 1)) (.f64 (log.f64 (-.f64 1 x)) (log.f64 (-.f64 1 x))))))))
(/.f64 (.f64 1/2 (/.f64 (.f64 (log.f64 (-.f64 1 x)) (log.f64 (-.f64 1 x))) (log.f64 (+.f64 x 1)))) (log.f64 (sqrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 (*.f64 (log.f64 (-.f64 1 x)) (log.f64 (-.f64 1 x))) (log.f64 (+.f64 x 1))) (log.f64 (-.f64 1 x)))
(.f64 (/.f64 (/.f64 1 (log.f64 (-.f64 1 x))) (.f64 (log.f64 (+.f64 1 x)) (/.f64 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x))) (log.f64 (-.f64 1 x))))) (log.f64 (+.f64 1 x)))
(.f64 (log.f64 (+.f64 x 1)) (/.f64 (/.f64 (/.f64 1 (log.f64 (-.f64 1 x))) (log.f64 (+.f64 x 1))) (/.f64 (log.f64 (+.f64 x 1)) (.f64 (log.f64 (-.f64 1 x)) (log.f64 (-.f64 1 x))))))
(.f64 (log.f64 (+.f64 x 1)) (/.f64 1 (.f64 (log.f64 (-.f64 1 x)) (.f64 (log.f64 (+.f64 x 1)) (/.f64 (log.f64 (+.f64 x 1)) (.f64 (log.f64 (-.f64 1 x)) (log.f64 (-.f64 1 x))))))))
(/.f64 (.f64 1/2 (/.f64 (.f64 (log.f64 (-.f64 1 x)) (log.f64 (-.f64 1 x))) (log.f64 (+.f64 x 1)))) (log.f64 (sqrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 (*.f64 (log.f64 (-.f64 1 x)) (log.f64 (-.f64 1 x))) (log.f64 (+.f64 x 1))) (log.f64 (-.f64 1 x)))
(.f64 (/.f64 1 (.f64 2 (.f64 (log.f64 (+.f64 1 x)) (/.f64 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x))) (log.f64 (-.f64 1 x)))))) (.f64 (log.f64 (+.f64 1 x)) (/.f64 2 (log.f64 (-.f64 1 x)))))
(.f64 (log.f64 (+.f64 x 1)) (/.f64 (/.f64 (/.f64 1 (log.f64 (-.f64 1 x))) (log.f64 (+.f64 x 1))) (/.f64 (log.f64 (+.f64 x 1)) (.f64 (log.f64 (-.f64 1 x)) (log.f64 (-.f64 1 x))))))
(.f64 (log.f64 (+.f64 x 1)) (/.f64 1 (.f64 (log.f64 (-.f64 1 x)) (.f64 (log.f64 (+.f64 x 1)) (/.f64 (log.f64 (+.f64 x 1)) (.f64 (log.f64 (-.f64 1 x)) (log.f64 (-.f64 1 x))))))))
(/.f64 (.f64 1/2 (/.f64 (.f64 (log.f64 (-.f64 1 x)) (log.f64 (-.f64 1 x))) (log.f64 (+.f64 x 1)))) (log.f64 (sqrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 (*.f64 (log.f64 (-.f64 1 x)) (log.f64 (-.f64 1 x))) (log.f64 (+.f64 x 1))) (log.f64 (-.f64 1 x)))
(.f64 (/.f64 2 (.f64 2 (*.f64 (log.f64 (+.f64 1 x)) (/.f64 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x))) (log.f64 (-.f64 1 x)))))) (/.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x))))
(.f64 (log.f64 (+.f64 x 1)) (/.f64 (/.f64 (/.f64 1 (log.f64 (-.f64 1 x))) (log.f64 (+.f64 x 1))) (/.f64 (log.f64 (+.f64 x 1)) (.f64 (log.f64 (-.f64 1 x)) (log.f64 (-.f64 1 x))))))
(.f64 (log.f64 (+.f64 x 1)) (/.f64 1 (.f64 (log.f64 (-.f64 1 x)) (.f64 (log.f64 (+.f64 x 1)) (/.f64 (log.f64 (+.f64 x 1)) (.f64 (log.f64 (-.f64 1 x)) (log.f64 (-.f64 1 x))))))))
(/.f64 (.f64 1/2 (/.f64 (.f64 (log.f64 (-.f64 1 x)) (log.f64 (-.f64 1 x))) (log.f64 (+.f64 x 1)))) (log.f64 (sqrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 (*.f64 (log.f64 (-.f64 1 x)) (log.f64 (-.f64 1 x))) (log.f64 (+.f64 x 1))) (log.f64 (-.f64 1 x)))
(.f64 (/.f64 (.f64 (log.f64 (-.f64 1 x)) -2) (*.f64 (log.f64 (+.f64 1 x)) 2)) -1)
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 x 1)))
(.f64 (/.f64 (log.f64 (-.f64 1 x)) (.f64 (log.f64 (+.f64 1 x)) 4)) 4)
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 x 1)))
(.f64 (.f64 1/2 (/.f64 1/2 (log.f64 (+.f64 1 x)))) (*.f64 (log.f64 (-.f64 1 x)) 4))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 x 1)))
(.f64 (/.f64 -1/2 (log.f64 (+.f64 1 x))) (.f64 (log.f64 (-.f64 1 x)) -2))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 x 1)))
(.f64 (/.f64 1/2 (.f64 (log.f64 (+.f64 1 x)) (/.f64 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x))) (log.f64 (-.f64 1 x))))) (*.f64 (log.f64 (+.f64 1 x)) (/.f64 2 (log.f64 (-.f64 1 x)))))
(.f64 (log.f64 (+.f64 x 1)) (/.f64 (/.f64 (/.f64 1 (log.f64 (-.f64 1 x))) (log.f64 (+.f64 x 1))) (/.f64 (log.f64 (+.f64 x 1)) (.f64 (log.f64 (-.f64 1 x)) (log.f64 (-.f64 1 x))))))
(.f64 (log.f64 (+.f64 x 1)) (/.f64 1 (.f64 (log.f64 (-.f64 1 x)) (.f64 (log.f64 (+.f64 x 1)) (/.f64 (log.f64 (+.f64 x 1)) (.f64 (log.f64 (-.f64 1 x)) (log.f64 (-.f64 1 x))))))))
(/.f64 (.f64 1/2 (/.f64 (.f64 (log.f64 (-.f64 1 x)) (log.f64 (-.f64 1 x))) (log.f64 (+.f64 x 1)))) (log.f64 (sqrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 (*.f64 (log.f64 (-.f64 1 x)) (log.f64 (-.f64 1 x))) (log.f64 (+.f64 x 1))) (log.f64 (-.f64 1 x)))
(.f64 (/.f64 (log.f64 (+.f64 1 x)) (.f64 2 (*.f64 (log.f64 (+.f64 1 x)) (/.f64 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x))) (log.f64 (-.f64 1 x)))))) (/.f64 2 (log.f64 (-.f64 1 x))))
(.f64 (log.f64 (+.f64 x 1)) (/.f64 (/.f64 (/.f64 1 (log.f64 (-.f64 1 x))) (log.f64 (+.f64 x 1))) (/.f64 (log.f64 (+.f64 x 1)) (.f64 (log.f64 (-.f64 1 x)) (log.f64 (-.f64 1 x))))))
(.f64 (log.f64 (+.f64 x 1)) (/.f64 1 (.f64 (log.f64 (-.f64 1 x)) (.f64 (log.f64 (+.f64 x 1)) (/.f64 (log.f64 (+.f64 x 1)) (.f64 (log.f64 (-.f64 1 x)) (log.f64 (-.f64 1 x))))))))
(/.f64 (.f64 1/2 (/.f64 (.f64 (log.f64 (-.f64 1 x)) (log.f64 (-.f64 1 x))) (log.f64 (+.f64 x 1)))) (log.f64 (sqrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 (*.f64 (log.f64 (-.f64 1 x)) (log.f64 (-.f64 1 x))) (log.f64 (+.f64 x 1))) (log.f64 (-.f64 1 x)))
(*.f64 (/.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x))) 4) 4)
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 x 1)))
(.f64 (/.f64 1 (.f64 (log.f64 (+.f64 1 x)) 8)) (*.f64 (log.f64 (-.f64 1 x)) 8))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 x 1)))
(.f64 (/.f64 1 (.f64 (log.f64 (+.f64 1 x)) -2)) (*.f64 (log.f64 (-.f64 1 x)) -2))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 x 1)))
(.f64 (/.f64 -1 (.f64 (log.f64 (+.f64 1 x)) 2)) (*.f64 (log.f64 (-.f64 1 x)) -2))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 x 1)))
(*.f64 (log.f64 (pow.f64 (-.f64 1 x) (/.f64 1/2 (log.f64 (+.f64 1 x))))) 2)
(*.f64 (/.f64 1/2 (log.f64 (+.f64 x 1))) (log.f64 (pow.f64 (-.f64 1 x) 2)))
(pow.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x))) 1)
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 x 1)))
(neg.f64 (/.f64 (neg.f64 (log.f64 (-.f64 1 x))) (log.f64 (+.f64 1 x))))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 x 1)))
(neg.f64 (/.f64 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x))) (neg.f64 (*.f64 (log.f64 (+.f64 1 x)) (/.f64 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x))) (log.f64 (-.f64 1 x)))))))
(.f64 (log.f64 (+.f64 x 1)) (/.f64 (/.f64 (/.f64 1 (log.f64 (-.f64 1 x))) (log.f64 (+.f64 x 1))) (/.f64 (log.f64 (+.f64 x 1)) (.f64 (log.f64 (-.f64 1 x)) (log.f64 (-.f64 1 x))))))
(.f64 (log.f64 (+.f64 x 1)) (/.f64 1 (.f64 (log.f64 (-.f64 1 x)) (.f64 (log.f64 (+.f64 x 1)) (/.f64 (log.f64 (+.f64 x 1)) (.f64 (log.f64 (-.f64 1 x)) (log.f64 (-.f64 1 x))))))))
(/.f64 (.f64 1/2 (/.f64 (.f64 (log.f64 (-.f64 1 x)) (log.f64 (-.f64 1 x))) (log.f64 (+.f64 x 1)))) (log.f64 (sqrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 (*.f64 (log.f64 (-.f64 1 x)) (log.f64 (-.f64 1 x))) (log.f64 (+.f64 x 1))) (log.f64 (-.f64 1 x)))
(neg.f64 (/.f64 (.f64 (log.f64 (-.f64 1 x)) -2) (.f64 (log.f64 (+.f64 1 x)) 2)))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 x 1)))
(log.f64 (pow.f64 (-.f64 1 x) (/.f64 1 (log.f64 (+.f64 1 x)))))
(log.f64 (pow.f64 (-.f64 1 x) (/.f64 1 (log.f64 (+.f64 x 1)))))
(log.f64 (pow.f64 (pow.f64 (+.f64 x -1) 2) (/.f64 1/2 (log.f64 (+.f64 1 x)))))
(log.f64 (pow.f64 (+.f64 x -1) (*.f64 2 (/.f64 1/2 (log.f64 (+.f64 x 1))))))
(log.f64 (pow.f64 (+.f64 x -1) (/.f64 1 (log.f64 (+.f64 x 1)))))

eval137.0ms (0.5%)

Compiler: Compiled 8065 to 6838 computations (15.2% saved)

prune41.0ms (0.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	285	7	292
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	285	8	293

Error

0.0b

Counts

293 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	62.8b	(/.f64 (neg.f64 x) (log.f64 (+.f64 1 x)))
	61.7b	(/.f64 (log.f64 (-.f64 1 x)) (+.f64 -1 (-.f64 1 (neg.f64 (log.f64 (+.f64 1 x))))))
✓	61.4b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
▶	0.4b	(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
▶	0.5b	(-.f64 -1 x)
▶	0.4b	(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
▶	61.4b	(*.f64 (/.f64 1 (log.f64 (+.f64 1 x))) (log.f64 (-.f64 1 x)))
	1.1b	-1

Compiler

Compiled 134 to 110 computations (17.9% saved)

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 x 2)
✓	0.0b	(*.f64 -1/2 (pow.f64 x 2))
✓	0.0b	(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)

Compiler

Compiled 37 to 29 computations (21.6% saved)

series2.0ms (0%)

Counts

3 → 6

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
0.0ms	x	@	-inf	(pow.f64 x 2)
0.0ms	x	@	inf	(pow.f64 x 2)
0.0ms	x	@	0	(*.f64 -1/2 (pow.f64 x 2))
0.0ms	x	@	inf	(*.f64 -1/2 (pow.f64 x 2))

rewrite127.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1802×	`rational.json-simplify-35`
1574×	`exponential.json-3`
1574×	`rational.json-1`
1574×	`rational.json-2`
1574×	`rational.json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	51
1	90	49
2	180	49
3	340	45
4	724	45
5	1882	45
6	3995	45
7	5384	45
8	7032	45

Stop Event

1×	node limit

Counts

3 → 81

Calls

Call 1

Inputs
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(*.f64 -1/2 (pow.f64 x 2))
(pow.f64 x 2)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (-.f64 -1 (.f64 (pow.f64 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (.f64 (pow.f64 x 2) 1/2)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 x) (.f64 -1/2 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 x) (+.f64 (.f64 -1/2 (pow.f64 x 2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 1 (+.f64 x (.f64 (pow.f64 x 2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) -2) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 1 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 1/2) (.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -1/2 x) (+.f64 (-.f64 -1 (.f64 (pow.f64 x 2) 1/2)) (.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (neg.f64 (+.f64 x (pow.f64 x 2))) (-.f64 -2 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (neg.f64 (+.f64 x (pow.f64 x 2))) (-.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (+.f64 -1 (-.f64 -1 (pow.f64 x 2))) (.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (+.f64 x (pow.f64 x 2))) (-.f64 -2 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -1/2 (pow.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (.f64 (pow.f64 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 -1/2 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 x 2) -1/4) (.f64 (pow.f64 x 2) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 -1/2 (pow.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (pow.f64 x 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1/2 (pow.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (pow.f64 x 2)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 x 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 2) -2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 2) 4) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 4 (neg.f64 (pow.f64 x 2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 2) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 4 (neg.f64 (pow.f64 x 2)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 4 (neg.f64 (pow.f64 x 2))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 4 (neg.f64 (pow.f64 x 2)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 4 (neg.f64 (pow.f64 x 2)))))) (.f64 2 (.f64 2 (.f64 2 (.f64 4 (neg.f64 (pow.f64 x 2))))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -1/2 (pow.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (pow.f64 x 2) 1/2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 x 2) 1/2) (.f64 (pow.f64 x 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 x 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (pow.f64 x 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (pow.f64 x 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (.f64 (pow.f64 x 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (pow.f64 x 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 x 2) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 16 (pow.f64 (/.f64 x 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 x 2) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (pow.f64 x 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 x 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 x 2) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 x 4) 2) 1/16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (pow.f64 x 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 2) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (pow.f64 x 2) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) 8)))) (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 2) 8))))) 128)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (-.f64 -1 (*.f64 (pow.f64 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 (pow.f64 x 2) 1/2)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 1 (+.f64 x (*.f64 (pow.f64 x 2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) -2) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 1 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 1/2) (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 x) (+.f64 (-.f64 -1 (*.f64 (pow.f64 x 2) 1/2)) (*.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 (+.f64 x (pow.f64 x 2))) (-.f64 -2 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (neg.f64 (+.f64 x (pow.f64 x 2))) (-.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (+.f64 -1 (-.f64 -1 (pow.f64 x 2))) (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (+.f64 x (pow.f64 x 2))) (-.f64 -2 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (pow.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/2 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 2) -1/4) (*.f64 (pow.f64 x 2) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -1/2 (pow.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (pow.f64 x 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 x 2)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 x 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) -2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 4) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (neg.f64 (pow.f64 x 2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 4 (neg.f64 (pow.f64 x 2)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 4 (neg.f64 (pow.f64 x 2))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 4 (neg.f64 (pow.f64 x 2)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 4 (neg.f64 (pow.f64 x 2)))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 4 (neg.f64 (pow.f64 x 2))))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 x 2) 1/2))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 2) 1/2) (*.f64 (pow.f64 x 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 x 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (pow.f64 x 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (pow.f64 x 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (pow.f64 x 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 x 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 2) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 16 (pow.f64 (/.f64 x 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 2) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (pow.f64 x 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 2) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 4) 2) 1/16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 x 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8))))) 128)))))

simplify500.0ms (2%)

Algorithm

1×	egg-herbie

Rules

2826×	`rational.json-simplify-35`
1802×	`rational.json-simplify-2`
1620×	`rational.json-simplify-1`
1250×	`rational.json-simplify-51`
734×	`rational.json-simplify-48`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	158	1455
1	324	1451
2	890	1445
3	1961	1445
4	3218	1445
5	3800	1445
6	4029	1445
7	4445	1445
8	5786	1445
9	6189	1445
10	6555	1445
11	6906	1445
12	6927	1445
13	6927	1445
14	7337	1445
15	7540	1445
16	7731	1445
17	7916	1445

Stop Event

1×	node limit

Counts

87 → 91

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 -1 x) 1)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(+.f64 -1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (neg.f64 x)))
(+.f64 (neg.f64 x) (-.f64 -1 (*.f64 (pow.f64 x 2) 1/2)))
(+.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (neg.f64 x)) -1)
(+.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 0)
(+.f64 0 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)))
(+.f64 (-.f64 -1 (*.f64 (pow.f64 x 2) 1/2)) (neg.f64 x))
(+.f64 (-.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (-.f64 1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) -2))
(+.f64 -2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 1 x)))
(+.f64 -2 (-.f64 1 (+.f64 x (*.f64 (pow.f64 x 2) 1/2))))
(+.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) -2) (-.f64 1 x))
(+.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 1 x)) -2)
(+.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 1/2) (.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 1/2))
(+.f64 (.f64 -1/2 x) (+.f64 (-.f64 -1 (.f64 (pow.f64 x 2) 1/2)) (*.f64 -1/2 x)))
(.f64 2 (.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 1/2))
(.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)))
(.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 1)
(.f64 4 (/.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 4))
(*.f64 (+.f64 (neg.f64 (+.f64 x (pow.f64 x 2))) (-.f64 -2 x)) 1/2)
(.f64 (.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 4) 1/4)
(*.f64 1/2 (+.f64 (neg.f64 (+.f64 x (pow.f64 x 2))) (-.f64 -2 x)))
(.f64 1/2 (+.f64 (+.f64 -1 (-.f64 -1 (pow.f64 x 2))) (.f64 x -2)))
(.f64 1/4 (.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 4))
(.f64 (.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 1/2) 2)
(.f64 (/.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 4) 4)
(/.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 1)
(/.f64 (+.f64 (neg.f64 (+.f64 x (pow.f64 x 2))) (-.f64 -2 x)) 2)
(/.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 4) 4)
(/.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 8)))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 8))))) 128)
(pow.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 1)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) 0)
(+.f64 -1 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)))
(+.f64 0 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (.f64 (pow.f64 x 2) -1/4) (.f64 (pow.f64 x 2) -1/4))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) 0)
(-.f64 0 (*.f64 (pow.f64 x 2) 1/2))
(/.f64 (pow.f64 x 2) -2)
(/.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)
(/.f64 (*.f64 2 (pow.f64 x 2)) -4)
(/.f64 (neg.f64 (pow.f64 x 2)) 2)
(/.f64 (*.f64 (pow.f64 x 2) -2) 4)
(/.f64 (*.f64 (pow.f64 x 2) 4) -8)
(/.f64 (*.f64 4 (neg.f64 (pow.f64 x 2))) 8)
(/.f64 (*.f64 (pow.f64 x 2) 1/2) -1)
(/.f64 (.f64 2 (.f64 4 (neg.f64 (pow.f64 x 2)))) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 4 (neg.f64 (pow.f64 x 2))))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 4 (neg.f64 (pow.f64 x 2)))))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 4 (neg.f64 (pow.f64 x 2)))))) (.f64 2 (.f64 2 (.f64 2 (.f64 4 (neg.f64 (pow.f64 x 2))))))) 128)
(pow.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)
(neg.f64 (*.f64 (pow.f64 x 2) 1/2))
(+.f64 (pow.f64 x 2) 0)
(+.f64 0 (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 x 2) 1/2) (.f64 (pow.f64 x 2) 1/2))
(-.f64 (pow.f64 x 2) 0)
(.f64 2 (.f64 (pow.f64 x 2) 1/2))
(*.f64 (pow.f64 x 2) 1)
(*.f64 1 (pow.f64 x 2))
(*.f64 4 (/.f64 (pow.f64 x 2) 4))
(.f64 4 (.f64 (pow.f64 x 2) 1/4))
(.f64 (.f64 2 (pow.f64 x 2)) 1/2)
(.f64 (.f64 (pow.f64 x 2) 4) 1/4)
(.f64 1/2 (.f64 2 (pow.f64 x 2)))
(*.f64 16 (pow.f64 (/.f64 x 4) 2))
(.f64 (.f64 (pow.f64 x 2) 1/2) 2)
(.f64 1/4 (.f64 (pow.f64 x 2) 4))
(*.f64 (/.f64 (pow.f64 x 2) 4) 4)
(.f64 (.f64 (pow.f64 x 2) 1/4) 4)
(.f64 (pow.f64 (.f64 x 4) 2) 1/16)
(/.f64 (pow.f64 x 2) 1)
(/.f64 (*.f64 2 (pow.f64 x 2)) 2)
(/.f64 (*.f64 (pow.f64 x 2) 4) 4)
(/.f64 (*.f64 (pow.f64 x 2) 8) 8)
(/.f64 (.f64 2 (.f64 (pow.f64 x 2) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 2) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) 8)))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) 8))))) 128)

Outputs
-1
(-.f64 (*.f64 -1 x) 1)
(+.f64 (neg.f64 x) -1)
(-.f64 -1 x)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (neg.f64 x))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (neg.f64 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(+.f64 -1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (neg.f64 x)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(+.f64 (neg.f64 x) (-.f64 -1 (*.f64 (pow.f64 x 2) 1/2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(+.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (neg.f64 x)) -1)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(+.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 0)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(+.f64 0 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(+.f64 (-.f64 -1 (*.f64 (pow.f64 x 2) 1/2)) (neg.f64 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(+.f64 (-.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(+.f64 (-.f64 1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) -2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(+.f64 -2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 1 x)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(+.f64 -2 (-.f64 1 (+.f64 x (*.f64 (pow.f64 x 2) 1/2))))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(+.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) -2) (-.f64 1 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(+.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 1 x)) -2)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 1/2) (.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 1/2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(+.f64 (.f64 -1/2 x) (+.f64 (-.f64 -1 (.f64 (pow.f64 x 2) 1/2)) (*.f64 -1/2 x)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(.f64 2 (.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 1/2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 1)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(.f64 4 (/.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 4))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(*.f64 (+.f64 (neg.f64 (+.f64 x (pow.f64 x 2))) (-.f64 -2 x)) 1/2)
(*.f64 1/2 (+.f64 (neg.f64 (+.f64 x (pow.f64 x 2))) (-.f64 -2 x)))
(.f64 (.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 4) 1/4)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(*.f64 1/2 (+.f64 (neg.f64 (+.f64 x (pow.f64 x 2))) (-.f64 -2 x)))
(.f64 1/2 (+.f64 (+.f64 -1 (-.f64 -1 (pow.f64 x 2))) (.f64 x -2)))
(.f64 1/2 (+.f64 -1 (+.f64 (-.f64 -1 (pow.f64 x 2)) (.f64 x -2))))
(.f64 1/2 (+.f64 (-.f64 -2 (pow.f64 x 2)) (.f64 x -2)))
(.f64 1/4 (.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 4))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(.f64 (.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 1/2) 2)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(.f64 (/.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 4) 4)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(/.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 1)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(/.f64 (+.f64 (neg.f64 (+.f64 x (pow.f64 x 2))) (-.f64 -2 x)) 2)
(/.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 4) 4)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(/.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 8) 8)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 8)) 16)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 8))) 32)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 8)))) 64)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 8))))) 128)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(pow.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 1)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) 0)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 -1 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 0 (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 x 2) -1/4) (.f64 (pow.f64 x 2) -1/4))
(*.f64 -1/2 (pow.f64 x 2))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) 0)
(*.f64 -1/2 (pow.f64 x 2))
(-.f64 0 (*.f64 (pow.f64 x 2) 1/2))
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (pow.f64 x 2) -2)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 2 (pow.f64 x 2)) -4)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (neg.f64 (pow.f64 x 2)) 2)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) -2) 4)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) 4) -8)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 4 (neg.f64 (pow.f64 x 2))) 8)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) 1/2) -1)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 4 (neg.f64 (pow.f64 x 2)))) 16)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 2 (*.f64 4 (neg.f64 (pow.f64 x 2))))) 32)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 4 (neg.f64 (pow.f64 x 2)))))) 64)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 4 (neg.f64 (pow.f64 x 2)))))) (.f64 2 (.f64 2 (.f64 2 (.f64 4 (neg.f64 (pow.f64 x 2))))))) 128)
(*.f64 -1/2 (pow.f64 x 2))
(pow.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)
(*.f64 -1/2 (pow.f64 x 2))
(neg.f64 (*.f64 (pow.f64 x 2) 1/2))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (pow.f64 x 2) 0)
(pow.f64 x 2)
(+.f64 0 (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (.f64 (pow.f64 x 2) 1/2) (.f64 (pow.f64 x 2) 1/2))
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 0)
(pow.f64 x 2)
(.f64 2 (.f64 (pow.f64 x 2) 1/2))
(pow.f64 x 2)
(*.f64 (pow.f64 x 2) 1)
(pow.f64 x 2)
(*.f64 1 (pow.f64 x 2))
(pow.f64 x 2)
(*.f64 4 (/.f64 (pow.f64 x 2) 4))
(pow.f64 x 2)
(.f64 4 (.f64 (pow.f64 x 2) 1/4))
(pow.f64 x 2)
(.f64 (.f64 2 (pow.f64 x 2)) 1/2)
(pow.f64 x 2)
(.f64 (.f64 (pow.f64 x 2) 4) 1/4)
(pow.f64 x 2)
(.f64 1/2 (.f64 2 (pow.f64 x 2)))
(pow.f64 x 2)
(*.f64 16 (pow.f64 (/.f64 x 4) 2))
(.f64 (.f64 (pow.f64 x 2) 1/2) 2)
(pow.f64 x 2)
(.f64 1/4 (.f64 (pow.f64 x 2) 4))
(pow.f64 x 2)
(*.f64 (/.f64 (pow.f64 x 2) 4) 4)
(pow.f64 x 2)
(.f64 (.f64 (pow.f64 x 2) 1/4) 4)
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 x 4) 2) 1/16)
(pow.f64 x 2)
(/.f64 (pow.f64 x 2) 1)
(pow.f64 x 2)
(/.f64 (*.f64 2 (pow.f64 x 2)) 2)
(pow.f64 x 2)
(/.f64 (*.f64 (pow.f64 x 2) 4) 4)
(pow.f64 x 2)
(/.f64 (*.f64 (pow.f64 x 2) 8) 8)
(pow.f64 x 2)
(/.f64 (.f64 2 (.f64 (pow.f64 x 2) 8)) 16)
(pow.f64 x 2)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 2) 8))) 32)
(pow.f64 x 2)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) 8)))) 64)
(pow.f64 x 2)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) 8))))) 128)
(pow.f64 x 2)

localize2.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (neg.f64 x) (log.f64 (+.f64 1 x)))
	4.2b	(log.f64 (+.f64 1 x))

Compiler

Compiled 19 to 12 computations (36.8% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 (neg.f64 x) (log.f64 (+.f64 1 x)))
1.0ms	x	@	inf	(/.f64 (neg.f64 x) (log.f64 (+.f64 1 x)))
0.0ms	x	@	0	(/.f64 (neg.f64 x) (log.f64 (+.f64 1 x)))

rewrite72.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1418×	`rational.json-1`
1418×	`rational.json-2`
1418×	`rational.json-3`
1390×	`rational.json-4`
1378×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	74	21
2	190	21
3	465	21
4	1358	21
5	4192	21

Stop Event

1×	node limit

Counts

1 → 67

Calls

Call 1

Inputs
(/.f64 (neg.f64 x) (log.f64 (+.f64 1 x)))

Outputs

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

simplify133.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1968×	`rational.json-simplify-35`
1058×	`rational.json-simplify-1`
848×	`rational.json-simplify-2`
708×	`rational.json-simplify-50`
680×	`exponential.json-simplify-26`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	205	2775
1	425	2717
2	847	2717
3	1716	2713
4	3951	2711
5	6585	2695
6	7125	2695

Stop Event

1×	node limit

Counts

79 → 122

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 -1/2 x) 1)
(-.f64 (+.f64 (.f64 -1/2 x) (.f64 1/12 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (.f64 -1/24 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 1/12 (pow.f64 x 2)))) 1)
(/.f64 x (log.f64 (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)) (/.f64 x (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)) (+.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) x)) (/.f64 x (log.f64 (/.f64 1 x))))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)) (+.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) x)) (+.f64 (/.f64 x (log.f64 (/.f64 1 x))) (.f64 1/3 (/.f64 1 (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2))))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 3)) (.f64 1/2 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)))) (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 2)))))))
(.f64 -1 (/.f64 x (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (.f64 -1 (/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(+.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3))) x)) (.f64 -1 (/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 x 2)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3))) x)) (+.f64 (.f64 -1 (/.f64 x (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 x 2)))))))) (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3))) (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2)))))
(+.f64 (/.f64 (neg.f64 x) (log.f64 (+.f64 x 1))) 0)
(+.f64 0 (/.f64 (neg.f64 x) (log.f64 (+.f64 x 1))))
(+.f64 -1 (-.f64 1 (/.f64 x (log.f64 (+.f64 x 1)))))
(+.f64 (-.f64 1 (/.f64 x (log.f64 (+.f64 x 1)))) -1)
(+.f64 (/.f64 x (.f64 (log.f64 (+.f64 x 1)) -2)) (/.f64 x (.f64 (log.f64 (+.f64 x 1)) -2)))
(-.f64 (/.f64 (neg.f64 x) (log.f64 (+.f64 x 1))) 0)
(-.f64 0 (/.f64 x (log.f64 (+.f64 x 1))))
(-.f64 (-.f64 1 (/.f64 x (log.f64 (+.f64 x 1)))) 1)
(-.f64 (/.f64 x (.f64 (log.f64 (+.f64 x 1)) -2)) (/.f64 x (.f64 (log.f64 (+.f64 x 1)) 2)))
(*.f64 x (/.f64 -1 (log.f64 (+.f64 x 1))))
(.f64 x (.f64 -2 (/.f64 1/2 (log.f64 (+.f64 x 1)))))
(.f64 x (.f64 1/2 (*.f64 2 (/.f64 -1 (log.f64 (+.f64 x 1))))))
(.f64 x (.f64 1/2 (/.f64 -2 (log.f64 (+.f64 x 1)))))
(*.f64 (neg.f64 x) (/.f64 1 (log.f64 (+.f64 x 1))))
(.f64 (neg.f64 x) (.f64 1/2 (*.f64 2 (/.f64 1 (log.f64 (+.f64 x 1))))))
(.f64 (neg.f64 x) (.f64 1/2 (/.f64 2 (log.f64 (+.f64 x 1)))))
(*.f64 1 (/.f64 (neg.f64 x) (log.f64 (+.f64 x 1))))
(*.f64 (/.f64 (neg.f64 x) (log.f64 (+.f64 x 1))) 1)
(*.f64 -1 (/.f64 x (log.f64 (+.f64 x 1))))
(.f64 (.f64 x -2) (/.f64 1/2 (log.f64 (+.f64 x 1))))
(.f64 (.f64 x -2) (*.f64 (/.f64 1 (log.f64 (+.f64 x 1))) 1/2))
(.f64 2 (/.f64 x (.f64 (log.f64 (+.f64 x 1)) -2)))
(.f64 2 (.f64 (/.f64 1 (log.f64 (+.f64 x 1))) (/.f64 (neg.f64 x) 2)))
(.f64 2 (.f64 (/.f64 1 (log.f64 (+.f64 x 1))) (/.f64 x -2)))
(.f64 2 (.f64 (/.f64 -1 (log.f64 (+.f64 x 1))) (/.f64 x 2)))
(.f64 2 (.f64 (neg.f64 x) (/.f64 1/2 (log.f64 (+.f64 x 1)))))
(.f64 2 (.f64 (/.f64 (neg.f64 x) (log.f64 (+.f64 x 1))) 1/2))
(*.f64 (+.f64 x x) (/.f64 -1/2 (log.f64 (+.f64 x 1))))
(.f64 (+.f64 x x) (.f64 (/.f64 1 (log.f64 (+.f64 x 1))) -1/2))
(.f64 (+.f64 x x) (.f64 (/.f64 -1 (log.f64 (+.f64 x 1))) 1/2))
(.f64 -2 (/.f64 x (.f64 (log.f64 (+.f64 x 1)) 2)))
(.f64 -2 (.f64 (/.f64 1 (log.f64 (+.f64 x 1))) (/.f64 x 2)))
(.f64 -2 (.f64 x (/.f64 1/2 (log.f64 (+.f64 x 1)))))
(.f64 -2 (.f64 (/.f64 x (log.f64 (+.f64 x 1))) 1/2))
(.f64 (.f64 x (/.f64 -2 (log.f64 (+.f64 x 1)))) 1/2)
(.f64 (.f64 x -4) (/.f64 1 (*.f64 (log.f64 (+.f64 x 1)) 4)))
(.f64 (.f64 x -4) (*.f64 (/.f64 1 (log.f64 (+.f64 x 1))) 1/4))
(.f64 (.f64 x -4) (*.f64 (/.f64 1/2 (log.f64 (+.f64 x 1))) 1/2))
(*.f64 (/.f64 x (log.f64 (+.f64 x 1))) -1)
(*.f64 (/.f64 1 (log.f64 (+.f64 x 1))) (neg.f64 x))
(*.f64 (/.f64 -1 (log.f64 (+.f64 x 1))) x)
(.f64 (/.f64 1/2 (log.f64 (+.f64 x 1))) (.f64 x -2))
(.f64 1/2 (.f64 x (/.f64 -2 (log.f64 (+.f64 x 1)))))
(.f64 (.f64 (/.f64 1 (log.f64 (+.f64 x 1))) 1/2) (*.f64 x -2))
(.f64 (/.f64 x (.f64 (log.f64 (+.f64 x 1)) -2)) 2)
(.f64 (/.f64 x (.f64 (log.f64 (+.f64 x 1)) 2)) -2)
(*.f64 (/.f64 -1/2 (log.f64 (+.f64 x 1))) (+.f64 x x))
(.f64 (/.f64 1 (.f64 (log.f64 (+.f64 x 1)) 4)) (*.f64 x -4))
(.f64 (.f64 (/.f64 1 (log.f64 (+.f64 x 1))) (/.f64 (neg.f64 x) 2)) 2)
(.f64 (.f64 (/.f64 1 (log.f64 (+.f64 x 1))) (/.f64 x -2)) 2)
(.f64 (.f64 (/.f64 1 (log.f64 (+.f64 x 1))) -1/2) (+.f64 x x))
(.f64 (.f64 (/.f64 1 (log.f64 (+.f64 x 1))) (/.f64 x 2)) -2)
(.f64 (.f64 (/.f64 1 (log.f64 (+.f64 x 1))) 1/4) (*.f64 x -4))
(.f64 (.f64 (/.f64 -1 (log.f64 (+.f64 x 1))) (/.f64 x 2)) 2)
(.f64 (.f64 (/.f64 -1 (log.f64 (+.f64 x 1))) 1/2) (+.f64 x x))
(.f64 (.f64 -2 (/.f64 1/2 (log.f64 (+.f64 x 1)))) x)
(.f64 (.f64 (neg.f64 x) (/.f64 1/2 (log.f64 (+.f64 x 1)))) 2)
(.f64 (.f64 x (/.f64 1/2 (log.f64 (+.f64 x 1)))) -2)
(.f64 (.f64 (/.f64 1/2 (log.f64 (+.f64 x 1))) 1/2) (*.f64 x -4))
(.f64 (.f64 1/2 (*.f64 2 (/.f64 -1 (log.f64 (+.f64 x 1))))) x)
(.f64 (.f64 1/2 (/.f64 -2 (log.f64 (+.f64 x 1)))) x)
(.f64 (.f64 1/2 (*.f64 2 (/.f64 1 (log.f64 (+.f64 x 1))))) (neg.f64 x))
(.f64 (.f64 1/2 (/.f64 2 (log.f64 (+.f64 x 1)))) (neg.f64 x))
(.f64 (.f64 (/.f64 (neg.f64 x) (log.f64 (+.f64 x 1))) 1/2) 2)
(.f64 (.f64 (/.f64 x (log.f64 (+.f64 x 1))) 1/2) -2)
(pow.f64 (/.f64 (neg.f64 x) (log.f64 (+.f64 x 1))) 1)
(neg.f64 (/.f64 x (log.f64 (+.f64 x 1))))

Outputs
-1
(-.f64 (*.f64 -1/2 x) 1)
(+.f64 (*.f64 -1/2 x) -1)
(+.f64 -1 (*.f64 -1/2 x))
(-.f64 (+.f64 (.f64 -1/2 x) (.f64 1/12 (pow.f64 x 2))) 1)
(+.f64 (+.f64 (.f64 -1/2 x) (.f64 1/12 (pow.f64 x 2))) -1)
(+.f64 -1 (+.f64 (.f64 -1/2 x) (.f64 1/12 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1/24 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 1/12 (pow.f64 x 2)))) 1)
(+.f64 (+.f64 (.f64 -1/2 x) (.f64 1/12 (pow.f64 x 2))) (-.f64 (*.f64 -1/24 (pow.f64 x 3)) 1))
(+.f64 (+.f64 (.f64 -1/2 x) (.f64 1/12 (pow.f64 x 2))) (+.f64 (*.f64 -1/24 (pow.f64 x 3)) -1))
(+.f64 (.f64 -1/2 x) (+.f64 (+.f64 (.f64 1/12 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 3))) -1))
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 1/12 (pow.f64 x 2)) (+.f64 -1 (*.f64 -1/24 (pow.f64 x 3)))))
(/.f64 x (log.f64 (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)) (/.f64 x (log.f64 (/.f64 1 x))))
(+.f64 (/.f64 x (log.f64 (/.f64 1 x))) (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)) (+.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) x)) (/.f64 x (log.f64 (/.f64 1 x))))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x))))
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(-.f64 (/.f64 x (.f64 (log.f64 (+.f64 x 1)) -2)) (/.f64 x (.f64 (log.f64 (+.f64 x 1)) 2)))
(-.f64 (/.f64 x (.f64 (log.f64 (+.f64 x 1)) -2)) (/.f64 x (.f64 2 (log.f64 (+.f64 x 1)))))
(-.f64 (.f64 x (/.f64 -1/2 (log.f64 (+.f64 x 1)))) (/.f64 x (.f64 2 (log.f64 (+.f64 x 1)))))
(-.f64 (.f64 x (/.f64 -1/2 (log.f64 (-.f64 x -1)))) (/.f64 x (.f64 2 (log.f64 (-.f64 x -1)))))
(.f64 (/.f64 1 (log.f64 (+.f64 x 1))) (-.f64 (.f64 -1/2 x) (/.f64 x 2)))
(*.f64 x (/.f64 -1 (log.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))
(.f64 x (.f64 -2 (/.f64 1/2 (log.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))
(.f64 x (.f64 1/2 (*.f64 2 (/.f64 -1 (log.f64 (+.f64 x 1))))))
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))
(.f64 x (.f64 1/2 (/.f64 -2 (log.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))
(*.f64 (neg.f64 x) (/.f64 1 (log.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))
(.f64 (neg.f64 x) (.f64 1/2 (*.f64 2 (/.f64 1 (log.f64 (+.f64 x 1))))))
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))
(.f64 (neg.f64 x) (.f64 1/2 (/.f64 2 (log.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))
(*.f64 1 (/.f64 (neg.f64 x) (log.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))
(*.f64 (/.f64 (neg.f64 x) (log.f64 (+.f64 x 1))) 1)
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))
(*.f64 -1 (/.f64 x (log.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))
(.f64 (.f64 x -2) (/.f64 1/2 (log.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))
(.f64 (.f64 x -2) (*.f64 (/.f64 1 (log.f64 (+.f64 x 1))) 1/2))
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))
(.f64 2 (/.f64 x (.f64 (log.f64 (+.f64 x 1)) -2)))
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))
(.f64 2 (.f64 (/.f64 1 (log.f64 (+.f64 x 1))) (/.f64 (neg.f64 x) 2)))
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))
(.f64 2 (.f64 (/.f64 1 (log.f64 (+.f64 x 1))) (/.f64 x -2)))
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))
(.f64 2 (.f64 (/.f64 -1 (log.f64 (+.f64 x 1))) (/.f64 x 2)))
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))
(.f64 2 (.f64 (neg.f64 x) (/.f64 1/2 (log.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))
(.f64 2 (.f64 (/.f64 (neg.f64 x) (log.f64 (+.f64 x 1))) 1/2))
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))
(*.f64 (+.f64 x x) (/.f64 -1/2 (log.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))
(.f64 (+.f64 x x) (.f64 (/.f64 1 (log.f64 (+.f64 x 1))) -1/2))
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))
(.f64 (+.f64 x x) (.f64 (/.f64 -1 (log.f64 (+.f64 x 1))) 1/2))
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))
(.f64 -2 (/.f64 x (.f64 (log.f64 (+.f64 x 1)) 2)))
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))
(.f64 -2 (.f64 (/.f64 1 (log.f64 (+.f64 x 1))) (/.f64 x 2)))
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))
(.f64 -2 (.f64 x (/.f64 1/2 (log.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))
(.f64 -2 (.f64 (/.f64 x (log.f64 (+.f64 x 1))) 1/2))
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))
(.f64 (.f64 x (/.f64 -2 (log.f64 (+.f64 x 1)))) 1/2)
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))
(.f64 (.f64 x -4) (/.f64 1 (*.f64 (log.f64 (+.f64 x 1)) 4)))
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))
(.f64 (.f64 x -4) (*.f64 (/.f64 1 (log.f64 (+.f64 x 1))) 1/4))
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))
(.f64 (.f64 x -4) (*.f64 (/.f64 1/2 (log.f64 (+.f64 x 1))) 1/2))
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))
(*.f64 (/.f64 x (log.f64 (+.f64 x 1))) -1)
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))
(*.f64 (/.f64 1 (log.f64 (+.f64 x 1))) (neg.f64 x))
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))
(*.f64 (/.f64 -1 (log.f64 (+.f64 x 1))) x)
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))
(.f64 (/.f64 1/2 (log.f64 (+.f64 x 1))) (.f64 x -2))
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))
(.f64 1/2 (.f64 x (/.f64 -2 (log.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))
(.f64 (.f64 (/.f64 1 (log.f64 (+.f64 x 1))) 1/2) (*.f64 x -2))
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))
(.f64 (/.f64 x (.f64 (log.f64 (+.f64 x 1)) -2)) 2)
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))
(.f64 (/.f64 x (.f64 (log.f64 (+.f64 x 1)) 2)) -2)
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))
(*.f64 (/.f64 -1/2 (log.f64 (+.f64 x 1))) (+.f64 x x))
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))
(.f64 (/.f64 1 (.f64 (log.f64 (+.f64 x 1)) 4)) (*.f64 x -4))
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))
(.f64 (.f64 (/.f64 1 (log.f64 (+.f64 x 1))) (/.f64 (neg.f64 x) 2)) 2)
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))
(.f64 (.f64 (/.f64 1 (log.f64 (+.f64 x 1))) (/.f64 x -2)) 2)
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))
(.f64 (.f64 (/.f64 1 (log.f64 (+.f64 x 1))) -1/2) (+.f64 x x))
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))
(.f64 (.f64 (/.f64 1 (log.f64 (+.f64 x 1))) (/.f64 x 2)) -2)
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))
(.f64 (.f64 (/.f64 1 (log.f64 (+.f64 x 1))) 1/4) (*.f64 x -4))
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))
(.f64 (.f64 (/.f64 -1 (log.f64 (+.f64 x 1))) (/.f64 x 2)) 2)
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))
(.f64 (.f64 (/.f64 -1 (log.f64 (+.f64 x 1))) 1/2) (+.f64 x x))
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))
(.f64 (.f64 -2 (/.f64 1/2 (log.f64 (+.f64 x 1)))) x)
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))
(.f64 (.f64 (neg.f64 x) (/.f64 1/2 (log.f64 (+.f64 x 1)))) 2)
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))
(.f64 (.f64 x (/.f64 1/2 (log.f64 (+.f64 x 1)))) -2)
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))
(.f64 (.f64 (/.f64 1/2 (log.f64 (+.f64 x 1))) 1/2) (*.f64 x -4))
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))
(.f64 (.f64 1/2 (*.f64 2 (/.f64 -1 (log.f64 (+.f64 x 1))))) x)
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))
(.f64 (.f64 1/2 (/.f64 -2 (log.f64 (+.f64 x 1)))) x)
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))
(.f64 (.f64 1/2 (*.f64 2 (/.f64 1 (log.f64 (+.f64 x 1))))) (neg.f64 x))
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))
(.f64 (.f64 1/2 (/.f64 2 (log.f64 (+.f64 x 1)))) (neg.f64 x))
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))
(.f64 (.f64 (/.f64 (neg.f64 x) (log.f64 (+.f64 x 1))) 1/2) 2)
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))
(.f64 (.f64 (/.f64 x (log.f64 (+.f64 x 1))) 1/2) -2)
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))
(pow.f64 (/.f64 (neg.f64 x) (log.f64 (+.f64 x 1))) 1)
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))
(neg.f64 (/.f64 x (log.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (log.f64 (+.f64 x 1)))
(/.f64 x (neg.f64 (log.f64 (-.f64 x -1))))

localize11.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 -1/2 (pow.f64 x 2))
	0.0b	(pow.f64 x 2)
✓	0.0b	(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))

Compiler

Compiled 25 to 19 computations (24% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
0.0ms	x	@	inf	(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
0.0ms	x	@	-inf	(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))

rewrite134.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1432×	`exponential.json-3`
1432×	`rational.json-1`
1432×	`rational.json-2`
1432×	`rational.json-4`
1432×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	68	25
2	140	25
3	256	25
4	469	25
5	1042	25
6	2894	25
7	5246	25
8	6325	25
9	7716	25

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

Inputs
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (+.f64 x 1) (*.f64 (pow.f64 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (neg.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (-.f64 -1 x) 1/2) (*.f64 (pow.f64 x 2) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (+.f64 x 1) (*.f64 (pow.f64 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (-.f64 (-.f64 -2 x) x) (neg.f64 (pow.f64 x 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 -1/4 (+.f64 (+.f64 x 1) (*.f64 (pow.f64 x 2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (-.f64 (-.f64 -2 x) x) (neg.f64 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (-.f64 -1 x) 1/2) (*.f64 (pow.f64 x 2) -1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/4 (+.f64 (+.f64 x 1) (*.f64 (pow.f64 x 2) 1/2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 x 1) (*.f64 (pow.f64 x 2) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (-.f64 -2 x) x) (neg.f64 (pow.f64 x 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 x 1) (*.f64 (pow.f64 x 2) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (+.f64 x 1) (*.f64 (pow.f64 x 2) 1/2)))))))

simplify422.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

3732×	`rational.json-simplify-51`
1970×	`rational.json-simplify-35`
1558×	`rational.json-simplify-1`
1328×	`rational.json-simplify-2`
1002×	`rational.json-simplify-42`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	75	1104
1	154	1012
2	355	1012
3	1085	1012
4	2106	984
5	3220	984
6	3735	984
7	3932	984
8	4208	984
9	4432	984
10	4734	984
11	5135	984
12	5311	984
13	5483	984
14	5776	984
15	5996	984
16	6101	984
17	6661	984
18	6890	984
19	7160	984
20	7349	984

Stop Event

1×	node limit

Counts

40 → 44

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 0)
(-.f64 0 (+.f64 (+.f64 x 1) (*.f64 (pow.f64 x 2) 1/2)))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (neg.f64 x)) 1)
(.f64 2 (+.f64 (.f64 (-.f64 -1 x) 1/2) (*.f64 (pow.f64 x 2) -1/4)))
(.f64 -1 (+.f64 (+.f64 x 1) (.f64 (pow.f64 x 2) 1/2)))
(.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 1)
(.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)))
(*.f64 (+.f64 (-.f64 (-.f64 -2 x) x) (neg.f64 (pow.f64 x 2))) 1/2)
(.f64 4 (.f64 -1/4 (+.f64 (+.f64 x 1) (*.f64 (pow.f64 x 2) 1/2))))
(.f64 (.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 4) 1/4)
(*.f64 1/2 (+.f64 (-.f64 (-.f64 -2 x) x) (neg.f64 (pow.f64 x 2))))
(.f64 (.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 8) 1/8)
(.f64 (+.f64 (.f64 (-.f64 -1 x) 1/2) (*.f64 (pow.f64 x 2) -1/4)) 2)
(.f64 1/4 (.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 4))
(.f64 (.f64 -1/4 (+.f64 (+.f64 x 1) (*.f64 (pow.f64 x 2) 1/2))) 4)
(.f64 (+.f64 (+.f64 x 1) (.f64 (pow.f64 x 2) 1/2)) -1)
(.f64 1/8 (.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 8))
(/.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 1)
(/.f64 (+.f64 (-.f64 (-.f64 -2 x) x) (neg.f64 (pow.f64 x 2))) 2)
(/.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 4) 4)
(/.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 8)) 16)
(/.f64 (+.f64 (+.f64 x 1) (*.f64 (pow.f64 x 2) 1/2)) -1)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 8))))) 128)
(pow.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 1)
(neg.f64 (+.f64 (+.f64 x 1) (*.f64 (pow.f64 x 2) 1/2)))

Outputs
-1
(-.f64 (*.f64 -1 x) 1)
(+.f64 (neg.f64 x) -1)
(-.f64 -1 x)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (+.f64 (neg.f64 x) (*.f64 -1/2 (pow.f64 x 2))) -1)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (+.f64 (neg.f64 x) (*.f64 -1/2 (pow.f64 x 2))) -1)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (neg.f64 x) (*.f64 -1/2 (pow.f64 x 2)))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (+.f64 (neg.f64 x) (*.f64 -1/2 (pow.f64 x 2))) -1)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (+.f64 (neg.f64 x) (*.f64 -1/2 (pow.f64 x 2))) -1)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (neg.f64 x) (*.f64 -1/2 (pow.f64 x 2)))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (+.f64 (neg.f64 x) (*.f64 -1/2 (pow.f64 x 2))) -1)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (+.f64 (neg.f64 x) (*.f64 -1/2 (pow.f64 x 2))) -1)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 0)
(+.f64 (+.f64 (neg.f64 x) (*.f64 -1/2 (pow.f64 x 2))) -1)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(-.f64 0 (+.f64 (+.f64 x 1) (*.f64 (pow.f64 x 2) 1/2)))
(neg.f64 (+.f64 (+.f64 x 1) (*.f64 (pow.f64 x 2) 1/2)))
(neg.f64 (+.f64 x (+.f64 1 (*.f64 (pow.f64 x 2) 1/2))))
(-.f64 -1 (+.f64 x (*.f64 (pow.f64 x 2) 1/2)))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (neg.f64 x)) 1)
(+.f64 (+.f64 (neg.f64 x) (*.f64 -1/2 (pow.f64 x 2))) -1)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(.f64 2 (+.f64 (.f64 (-.f64 -1 x) 1/2) (*.f64 (pow.f64 x 2) -1/4)))
(.f64 -1 (+.f64 (+.f64 x 1) (.f64 (pow.f64 x 2) 1/2)))
(neg.f64 (+.f64 (+.f64 x 1) (*.f64 (pow.f64 x 2) 1/2)))
(neg.f64 (+.f64 x (+.f64 1 (*.f64 (pow.f64 x 2) 1/2))))
(-.f64 -1 (+.f64 x (*.f64 (pow.f64 x 2) 1/2)))
(.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 1)
(+.f64 (+.f64 (neg.f64 x) (*.f64 -1/2 (pow.f64 x 2))) -1)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)))
(+.f64 (+.f64 (neg.f64 x) (*.f64 -1/2 (pow.f64 x 2))) -1)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(*.f64 (+.f64 (-.f64 (-.f64 -2 x) x) (neg.f64 (pow.f64 x 2))) 1/2)
(*.f64 1/2 (+.f64 (-.f64 (-.f64 -2 x) x) (neg.f64 (pow.f64 x 2))))
(.f64 1/2 (+.f64 (+.f64 (.f64 x -2) -2) (neg.f64 (pow.f64 x 2))))
(.f64 1/2 (+.f64 (+.f64 -2 (.f64 x -2)) (neg.f64 (pow.f64 x 2))))
(.f64 4 (.f64 -1/4 (+.f64 (+.f64 x 1) (*.f64 (pow.f64 x 2) 1/2))))
(neg.f64 (+.f64 (+.f64 x 1) (*.f64 (pow.f64 x 2) 1/2)))
(neg.f64 (+.f64 x (+.f64 1 (*.f64 (pow.f64 x 2) 1/2))))
(-.f64 -1 (+.f64 x (*.f64 (pow.f64 x 2) 1/2)))
(.f64 (.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 4) 1/4)
(+.f64 (+.f64 (neg.f64 x) (*.f64 -1/2 (pow.f64 x 2))) -1)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(*.f64 1/2 (+.f64 (-.f64 (-.f64 -2 x) x) (neg.f64 (pow.f64 x 2))))
(.f64 1/2 (+.f64 (+.f64 (.f64 x -2) -2) (neg.f64 (pow.f64 x 2))))
(.f64 1/2 (+.f64 (+.f64 -2 (.f64 x -2)) (neg.f64 (pow.f64 x 2))))
(.f64 (.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 8) 1/8)
(+.f64 (+.f64 (neg.f64 x) (*.f64 -1/2 (pow.f64 x 2))) -1)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(.f64 (+.f64 (.f64 (-.f64 -1 x) 1/2) (*.f64 (pow.f64 x 2) -1/4)) 2)
(.f64 2 (+.f64 (.f64 (-.f64 -1 x) 1/2) (*.f64 (pow.f64 x 2) -1/4)))
(.f64 1/4 (.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 4))
(+.f64 (+.f64 (neg.f64 x) (*.f64 -1/2 (pow.f64 x 2))) -1)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(.f64 (.f64 -1/4 (+.f64 (+.f64 x 1) (*.f64 (pow.f64 x 2) 1/2))) 4)
(neg.f64 (+.f64 (+.f64 x 1) (*.f64 (pow.f64 x 2) 1/2)))
(neg.f64 (+.f64 x (+.f64 1 (*.f64 (pow.f64 x 2) 1/2))))
(-.f64 -1 (+.f64 x (*.f64 (pow.f64 x 2) 1/2)))
(.f64 (+.f64 (+.f64 x 1) (.f64 (pow.f64 x 2) 1/2)) -1)
(neg.f64 (+.f64 (+.f64 x 1) (*.f64 (pow.f64 x 2) 1/2)))
(neg.f64 (+.f64 x (+.f64 1 (*.f64 (pow.f64 x 2) 1/2))))
(-.f64 -1 (+.f64 x (*.f64 (pow.f64 x 2) 1/2)))
(.f64 1/8 (.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 8))
(+.f64 (+.f64 (neg.f64 x) (*.f64 -1/2 (pow.f64 x 2))) -1)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(/.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 1)
(+.f64 (+.f64 (neg.f64 x) (*.f64 -1/2 (pow.f64 x 2))) -1)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(/.f64 (+.f64 (-.f64 (-.f64 -2 x) x) (neg.f64 (pow.f64 x 2))) 2)
(/.f64 (+.f64 (+.f64 (*.f64 x -2) -2) (neg.f64 (pow.f64 x 2))) 2)
(/.f64 (+.f64 (+.f64 -2 (*.f64 x -2)) (neg.f64 (pow.f64 x 2))) 2)
(/.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 4) 4)
(+.f64 (+.f64 (neg.f64 x) (*.f64 -1/2 (pow.f64 x 2))) -1)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(/.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 8) 8)
(+.f64 (+.f64 (neg.f64 x) (*.f64 -1/2 (pow.f64 x 2))) -1)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 8)) 16)
(+.f64 (+.f64 (neg.f64 x) (*.f64 -1/2 (pow.f64 x 2))) -1)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(/.f64 (+.f64 (+.f64 x 1) (*.f64 (pow.f64 x 2) 1/2)) -1)
(neg.f64 (+.f64 (+.f64 x 1) (*.f64 (pow.f64 x 2) 1/2)))
(neg.f64 (+.f64 x (+.f64 1 (*.f64 (pow.f64 x 2) 1/2))))
(-.f64 -1 (+.f64 x (*.f64 (pow.f64 x 2) 1/2)))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 8))) 32)
(+.f64 (+.f64 (neg.f64 x) (*.f64 -1/2 (pow.f64 x 2))) -1)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 8)))) 64)
(+.f64 (+.f64 (neg.f64 x) (*.f64 -1/2 (pow.f64 x 2))) -1)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 8))))) 128)
(+.f64 (+.f64 (neg.f64 x) (*.f64 -1/2 (pow.f64 x 2))) -1)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(pow.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x)) 1)
(+.f64 (+.f64 (neg.f64 x) (*.f64 -1/2 (pow.f64 x 2))) -1)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(neg.f64 (+.f64 (+.f64 x 1) (*.f64 (pow.f64 x 2) 1/2)))
(neg.f64 (+.f64 x (+.f64 1 (*.f64 (pow.f64 x 2) 1/2))))
(-.f64 -1 (+.f64 x (*.f64 (pow.f64 x 2) 1/2)))

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (log.f64 (+.f64 1 x)))
✓	0.0b	(*.f64 (/.f64 1 (log.f64 (+.f64 1 x))) (log.f64 (-.f64 1 x)))
	4.2b	(log.f64 (-.f64 1 x))
	4.2b	(log.f64 (+.f64 1 x))

Compiler

Compiled 34 to 26 computations (23.5% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite95.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2004×	`rational.json-1`
2004×	`rational.json-2`
1248×	`rational.json-simplify-35`
870×	`rational.json-3`
850×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	50
1	84	44
2	190	44
3	395	44
4	880	44
5	2688	44
6	7063	44

Stop Event

1×	node limit

Counts

2 → 93

Calls

Call 1

Inputs
(*.f64 (/.f64 1 (log.f64 (+.f64 1 x))) (log.f64 (-.f64 1 x)))
(/.f64 1 (log.f64 (+.f64 1 x)))

Outputs

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

simplify131.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1868×	`rational.json-simplify-35`
1300×	`rational.json-simplify-61`
942×	`rational.json-simplify-49`
782×	`rational.json-simplify-50`
774×	`rational.json-simplify-46`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	388	6845
1	1066	6659
2	2544	6631
3	7118	6615

Stop Event

1×	node limit

Counts

117 → 206

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
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(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (+.f64 (*.f64 -1/12 x) (/.f64 1 x)))
(+.f64 1/2 (+.f64 (.f64 -1/12 x) (+.f64 (.f64 1/24 (pow.f64 x 2)) (/.f64 1 x))))
(/.f64 -1 (log.f64 (/.f64 1 x)))
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(/.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (sqrt.f64 (-.f64 x -1)))) 2)
(/.f64 (/.f64 2 (log.f64 (-.f64 x -1))) (/.f64 2 (log.f64 (-.f64 1 x))))
(/.f64 (/.f64 2 (log.f64 (-.f64 x -1))) (+.f64 (/.f64 1 (log.f64 (-.f64 1 x))) (/.f64 1 (log.f64 (-.f64 1 x)))))
(/.f64 4 (*.f64 4 (/.f64 (log.f64 (-.f64 x -1)) (log.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (log.f64 (-.f64 1 x)) 2) (log.f64 (pow.f64 (-.f64 x -1) 2)))
(/.f64 (*.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (-.f64 x -1))) 4) 4)
(/.f64 -2 (neg.f64 (/.f64 (log.f64 (-.f64 x -1)) (log.f64 (sqrt.f64 (-.f64 1 x))))))
(/.f64 -2 (+.f64 (neg.f64 (/.f64 (log.f64 (-.f64 x -1)) (log.f64 (-.f64 1 x)))) (neg.f64 (/.f64 (log.f64 (-.f64 x -1)) (log.f64 (-.f64 1 x))))))
(/.f64 -2 (+.f64 (/.f64 (log.f64 (-.f64 x -1)) (neg.f64 (log.f64 (-.f64 1 x)))) (/.f64 (log.f64 (-.f64 x -1)) (neg.f64 (log.f64 (-.f64 1 x))))))
(/.f64 (/.f64 4 (log.f64 (-.f64 x -1))) (+.f64 (/.f64 2 (log.f64 (-.f64 1 x))) (/.f64 2 (log.f64 (-.f64 1 x)))))
(/.f64 8 (.f64 2 (.f64 4 (/.f64 (log.f64 (-.f64 x -1)) (log.f64 (-.f64 1 x))))))
(/.f64 8 (/.f64 (*.f64 (log.f64 (-.f64 x -1)) 8) (log.f64 (-.f64 1 x))))
(/.f64 (*.f64 (log.f64 (-.f64 1 x)) 4) (log.f64 (pow.f64 (-.f64 x -1) 4)))
(/.f64 1/2 (/.f64 (log.f64 (sqrt.f64 (-.f64 x -1))) (log.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (log.f64 (-.f64 1 x))) (neg.f64 (log.f64 (-.f64 x -1))))
(/.f64 (/.f64 (log.f64 (-.f64 x -1)) (log.f64 (-.f64 1 x))) (*.f64 (/.f64 (log.f64 (-.f64 x -1)) (log.f64 (-.f64 1 x))) (/.f64 (log.f64 (-.f64 x -1)) (log.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (log.f64 (-.f64 x -1)) (log.f64 (sqrt.f64 (-.f64 1 x)))) (*.f64 (/.f64 (log.f64 (-.f64 x -1)) (log.f64 (-.f64 1 x))) (/.f64 (log.f64 (-.f64 x -1)) (log.f64 (sqrt.f64 (-.f64 1 x))))))
(/.f64 (*.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (-.f64 x -1))) 8) 8)
(/.f64 (.f64 (log.f64 (-.f64 1 x)) -2) (.f64 (log.f64 (-.f64 x -1)) -2))
(/.f64 -4 (+.f64 (neg.f64 (/.f64 (log.f64 (-.f64 x -1)) (log.f64 (sqrt.f64 (-.f64 1 x))))) (neg.f64 (/.f64 (log.f64 (-.f64 x -1)) (log.f64 (sqrt.f64 (-.f64 1 x)))))))
(/.f64 -4 (-.f64 0 (*.f64 4 (/.f64 (log.f64 (-.f64 x -1)) (log.f64 (-.f64 1 x))))))
(/.f64 16 (+.f64 (.f64 2 (.f64 4 (/.f64 (log.f64 (-.f64 x -1)) (log.f64 (-.f64 1 x))))) (.f64 2 (.f64 4 (/.f64 (log.f64 (-.f64 x -1)) (log.f64 (-.f64 1 x)))))))
(/.f64 16 (+.f64 (/.f64 (.f64 (log.f64 (-.f64 x -1)) 8) (log.f64 (-.f64 1 x))) (/.f64 (.f64 (log.f64 (-.f64 x -1)) 8) (log.f64 (-.f64 1 x)))))
(/.f64 (.f64 (log.f64 (-.f64 1 x)) 8) (.f64 (log.f64 (-.f64 x -1)) 8))
(/.f64 (.f64 4 (/.f64 (log.f64 (-.f64 x -1)) (log.f64 (-.f64 1 x)))) (.f64 (/.f64 (log.f64 (-.f64 x -1)) (log.f64 (sqrt.f64 (-.f64 1 x)))) (/.f64 (log.f64 (-.f64 x -1)) (log.f64 (sqrt.f64 (-.f64 1 x))))))
(/.f64 (.f64 4 (/.f64 (log.f64 (-.f64 x -1)) (log.f64 (-.f64 1 x)))) (+.f64 (.f64 (/.f64 (log.f64 (-.f64 x -1)) (log.f64 (-.f64 1 x))) (/.f64 (log.f64 (-.f64 x -1)) (log.f64 (sqrt.f64 (-.f64 1 x))))) (*.f64 (/.f64 (log.f64 (-.f64 x -1)) (log.f64 (-.f64 1 x))) (/.f64 (log.f64 (-.f64 x -1)) (log.f64 (sqrt.f64 (-.f64 1 x)))))))
(/.f64 (/.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) (log.f64 (-.f64 x -1))) 1/2)
(/.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) (log.f64 (sqrt.f64 (-.f64 x -1))))
(/.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) (/.f64 (*.f64 (log.f64 (-.f64 x -1)) (log.f64 (-.f64 x -1))) (log.f64 (pow.f64 (-.f64 x -1) 2))))
(/.f64 (.f64 2 (.f64 (log.f64 (-.f64 1 x)) -2)) (*.f64 (neg.f64 (log.f64 (-.f64 x -1))) 4))
(/.f64 (.f64 2 (.f64 (log.f64 (-.f64 1 x)) 8)) (*.f64 (log.f64 (pow.f64 (-.f64 x -1) 4)) 4))
(/.f64 (.f64 2 (.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (-.f64 x -1))) 8)) 16)
(/.f64 -1/2 (-.f64 0 (/.f64 (log.f64 (sqrt.f64 (-.f64 x -1))) (log.f64 (-.f64 1 x)))))
(/.f64 (neg.f64 (.f64 (log.f64 (-.f64 1 x)) 8)) (neg.f64 (.f64 (log.f64 (-.f64 x -1)) 8)))
(/.f64 (/.f64 (*.f64 (log.f64 (-.f64 1 x)) 8) (log.f64 (-.f64 x -1))) 8)
(/.f64 (/.f64 (neg.f64 (log.f64 (-.f64 1 x))) (log.f64 (-.f64 x -1))) -1)
(/.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (pow.f64 (-.f64 x -1) 4))) 1/4)
(/.f64 (neg.f64 (/.f64 (log.f64 (-.f64 x -1)) (log.f64 (-.f64 1 x)))) (-.f64 0 (*.f64 (/.f64 (log.f64 (-.f64 x -1)) (log.f64 (-.f64 1 x))) (/.f64 (log.f64 (-.f64 x -1)) (log.f64 (-.f64 1 x))))))
(/.f64 (neg.f64 (*.f64 (log.f64 (-.f64 1 x)) 4)) (neg.f64 (log.f64 (pow.f64 (-.f64 x -1) 4))))
(/.f64 (neg.f64 (*.f64 (log.f64 (-.f64 1 x)) -2)) (log.f64 (pow.f64 (-.f64 x -1) 2)))
(/.f64 (+.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (pow.f64 (-.f64 x -1) 4))) (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (pow.f64 (-.f64 x -1) 4)))) 1/2)
(/.f64 (+.f64 (neg.f64 (.f64 (log.f64 (-.f64 1 x)) 4)) (neg.f64 (.f64 (log.f64 (-.f64 1 x)) 4))) (*.f64 2 (neg.f64 (log.f64 (pow.f64 (-.f64 x -1) 4)))))
(/.f64 (+.f64 (.f64 2 (.f64 (log.f64 (-.f64 1 x)) -2)) (.f64 2 (.f64 (log.f64 (-.f64 1 x)) -2))) (.f64 2 (.f64 (neg.f64 (log.f64 (-.f64 x -1))) 4)))
(/.f64 (+.f64 (neg.f64 (.f64 (log.f64 (-.f64 1 x)) -2)) (neg.f64 (.f64 (log.f64 (-.f64 1 x)) -2))) (log.f64 (pow.f64 (-.f64 x -1) 4)))
(/.f64 (+.f64 (/.f64 (neg.f64 (log.f64 (-.f64 1 x))) (log.f64 (-.f64 x -1))) (/.f64 (neg.f64 (log.f64 (-.f64 1 x))) (log.f64 (-.f64 x -1)))) -2)
(/.f64 (+.f64 (/.f64 (.f64 (log.f64 (-.f64 1 x)) 8) (log.f64 (-.f64 x -1))) (/.f64 (.f64 (log.f64 (-.f64 1 x)) 8) (log.f64 (-.f64 x -1)))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (-.f64 x -1))) 8)) (.f64 2 (.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (-.f64 x -1))) 8))) 32)
(/.f64 (neg.f64 (/.f64 2 (log.f64 (-.f64 x -1)))) (-.f64 0 (/.f64 2 (log.f64 (-.f64 1 x)))))
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(/.f64 (neg.f64 (neg.f64 (*.f64 (log.f64 (-.f64 1 x)) 4))) (log.f64 (pow.f64 (-.f64 x -1) 4)))
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(/.f64 (neg.f64 (neg.f64 (.f64 (log.f64 (-.f64 1 x)) -2))) (.f64 (log.f64 (-.f64 x -1)) -2))
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(/.f64 (neg.f64 (/.f64 1 (log.f64 (-.f64 x -1)))) (-.f64 0 (/.f64 1 (log.f64 (-.f64 1 x)))))
(pow.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (-.f64 x -1))) 1)
(neg.f64 (/.f64 (neg.f64 (log.f64 (-.f64 1 x))) (log.f64 (-.f64 x -1))))
(log.f64 (pow.f64 (-.f64 1 x) (/.f64 1 (log.f64 (-.f64 x -1)))))
(log.f64 (sqrt.f64 (pow.f64 (-.f64 1 x) (/.f64 2 (log.f64 (-.f64 x -1))))))
(+.f64 (/.f64 1 (log.f64 (-.f64 x -1))) 0)
(+.f64 0 (/.f64 1 (log.f64 (-.f64 x -1))))
(+.f64 (/.f64 1/2 (log.f64 (-.f64 x -1))) (/.f64 1/2 (log.f64 (-.f64 x -1))))
(-.f64 (/.f64 1 (log.f64 (-.f64 x -1))) 0)
(*.f64 1 (/.f64 1 (log.f64 (-.f64 x -1))))
(.f64 1 (log.f64 (pow.f64 (-.f64 x -1) (/.f64 1 (.f64 (log.f64 (-.f64 x -1)) (log.f64 (-.f64 x -1)))))))
(.f64 (log.f64 (-.f64 x -1)) (/.f64 1 (.f64 (log.f64 (-.f64 x -1)) (log.f64 (-.f64 x -1)))))
(*.f64 (/.f64 1 (log.f64 (-.f64 x -1))) 1)
(*.f64 2 (/.f64 1/2 (log.f64 (-.f64 x -1))))
(.f64 (log.f64 (pow.f64 (-.f64 x -1) 2)) (/.f64 1/2 (.f64 (log.f64 (-.f64 x -1)) (log.f64 (-.f64 x -1)))))
(*.f64 (/.f64 2 (log.f64 (-.f64 x -1))) 1/2)
(*.f64 4 (/.f64 (/.f64 1 (log.f64 (-.f64 x -1))) 4))
(*.f64 (/.f64 4 (log.f64 (-.f64 x -1))) 1/4)
(*.f64 1/2 (/.f64 2 (log.f64 (-.f64 x -1))))
(*.f64 (/.f64 1/2 (log.f64 (-.f64 x -1))) 2)
(.f64 (log.f64 (sqrt.f64 (-.f64 x -1))) (/.f64 2 (.f64 (log.f64 (-.f64 x -1)) (log.f64 (-.f64 x -1)))))
(*.f64 1/4 (/.f64 4 (log.f64 (-.f64 x -1))))
(.f64 (/.f64 1 (.f64 (log.f64 (-.f64 x -1)) (log.f64 (-.f64 x -1)))) (log.f64 (-.f64 x -1)))
(.f64 (/.f64 2 (.f64 (log.f64 (-.f64 x -1)) (log.f64 (-.f64 x -1)))) (log.f64 (sqrt.f64 (-.f64 x -1))))
(.f64 (/.f64 1/2 (.f64 (log.f64 (-.f64 x -1)) (log.f64 (-.f64 x -1)))) (log.f64 (pow.f64 (-.f64 x -1) 2)))
(*.f64 (/.f64 (/.f64 1 (log.f64 (-.f64 x -1))) 4) 4)
(pow.f64 (/.f64 1 (log.f64 (-.f64 x -1))) 1)
(neg.f64 (/.f64 -1 (log.f64 (-.f64 x -1))))

Outputs
-1
(-.f64 (*.f64 -1 x) 1)
(+.f64 (*.f64 -1 x) -1)
(+.f64 -1 (neg.f64 x))
(-.f64 -1 x)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (.f64 -1 x) (-.f64 (.f64 -1/2 (pow.f64 x 2)) 1))
(+.f64 -1 (+.f64 (neg.f64 x) (*.f64 -1/2 (pow.f64 x 2))))
(+.f64 (+.f64 -1 (neg.f64 x)) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (-.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(+.f64 (+.f64 (.f64 -1 x) (.f64 -5/12 (pow.f64 x 3))) (-.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))
(+.f64 -1 (+.f64 (neg.f64 x) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))))
(+.f64 (-.f64 -1 x) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3))))
(.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))) (/.f64 2 (.f64 (log.f64 (/.f64 1 x)) x))) (/.f64 (log.f64 -1) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)))
(+.f64 (/.f64 2 (.f64 x (log.f64 (/.f64 1 x)))) (-.f64 (.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))) (/.f64 (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2)) x)))
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(+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))) (-.f64 (/.f64 (/.f64 2 x) (log.f64 (/.f64 1 x))) (/.f64 (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2)) x)))
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(/.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) (*.f64 (log.f64 (+.f64 1 x)) (/.f64 (log.f64 (+.f64 1 x)) (log.f64 (pow.f64 (+.f64 1 x) 2)))))
(/.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) (*.f64 (log.f64 (+.f64 x 1)) (/.f64 (log.f64 (+.f64 x 1)) (log.f64 (pow.f64 (+.f64 x 1) 2)))))
(/.f64 (log.f64 (pow.f64 (+.f64 x 1) 2)) (/.f64 (log.f64 (+.f64 x 1)) (/.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) (log.f64 (+.f64 x 1)))))
(/.f64 (/.f64 (log.f64 (pow.f64 (+.f64 x 1) 2)) (log.f64 (+.f64 x 1))) (/.f64 (log.f64 (+.f64 x 1)) (log.f64 (sqrt.f64 (-.f64 1 x)))))
(/.f64 (.f64 2 (.f64 (log.f64 (-.f64 1 x)) -2)) (*.f64 (neg.f64 (log.f64 (-.f64 x -1))) 4))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 x 1)))
(/.f64 (.f64 2 (.f64 (log.f64 (-.f64 1 x)) 8)) (*.f64 (log.f64 (pow.f64 (-.f64 x -1) 4)) 4))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 x 1)))
(/.f64 (.f64 2 (.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (-.f64 x -1))) 8)) 16)
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 x 1)))
(/.f64 -1/2 (-.f64 0 (/.f64 (log.f64 (sqrt.f64 (-.f64 x -1))) (log.f64 (-.f64 1 x)))))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 x 1)))
(/.f64 (neg.f64 (.f64 (log.f64 (-.f64 1 x)) 8)) (neg.f64 (.f64 (log.f64 (-.f64 x -1)) 8)))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 x 1)))
(/.f64 (/.f64 (*.f64 (log.f64 (-.f64 1 x)) 8) (log.f64 (-.f64 x -1))) 8)
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 x 1)))
(/.f64 (/.f64 (neg.f64 (log.f64 (-.f64 1 x))) (log.f64 (-.f64 x -1))) -1)
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 x 1)))
(/.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (pow.f64 (-.f64 x -1) 4))) 1/4)
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 x 1)))
(/.f64 (neg.f64 (/.f64 (log.f64 (-.f64 x -1)) (log.f64 (-.f64 1 x)))) (-.f64 0 (*.f64 (/.f64 (log.f64 (-.f64 x -1)) (log.f64 (-.f64 1 x))) (/.f64 (log.f64 (-.f64 x -1)) (log.f64 (-.f64 1 x))))))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 x 1)))
(/.f64 (neg.f64 (*.f64 (log.f64 (-.f64 1 x)) 4)) (neg.f64 (log.f64 (pow.f64 (-.f64 x -1) 4))))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 x 1)))
(/.f64 (neg.f64 (*.f64 (log.f64 (-.f64 1 x)) -2)) (log.f64 (pow.f64 (-.f64 x -1) 2)))
(*.f64 2 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (pow.f64 (+.f64 1 x) 2))))
(*.f64 2 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (pow.f64 (+.f64 x 1) 2))))
(/.f64 (+.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (pow.f64 (-.f64 x -1) 4))) (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (pow.f64 (-.f64 x -1) 4)))) 1/2)
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 x 1)))
(/.f64 (+.f64 (neg.f64 (.f64 (log.f64 (-.f64 1 x)) 4)) (neg.f64 (.f64 (log.f64 (-.f64 1 x)) 4))) (*.f64 2 (neg.f64 (log.f64 (pow.f64 (-.f64 x -1) 4)))))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 x 1)))
(/.f64 (+.f64 (.f64 2 (.f64 (log.f64 (-.f64 1 x)) -2)) (.f64 2 (.f64 (log.f64 (-.f64 1 x)) -2))) (.f64 2 (.f64 (neg.f64 (log.f64 (-.f64 x -1))) 4)))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 x 1)))
(/.f64 (+.f64 (neg.f64 (.f64 (log.f64 (-.f64 1 x)) -2)) (neg.f64 (.f64 (log.f64 (-.f64 1 x)) -2))) (log.f64 (pow.f64 (-.f64 x -1) 4)))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 x 1)))
(/.f64 (+.f64 (/.f64 (neg.f64 (log.f64 (-.f64 1 x))) (log.f64 (-.f64 x -1))) (/.f64 (neg.f64 (log.f64 (-.f64 1 x))) (log.f64 (-.f64 x -1)))) -2)
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 x 1)))
(/.f64 (+.f64 (/.f64 (.f64 (log.f64 (-.f64 1 x)) 8) (log.f64 (-.f64 x -1))) (/.f64 (.f64 (log.f64 (-.f64 1 x)) 8) (log.f64 (-.f64 x -1)))) 16)
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 x 1)))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (-.f64 x -1))) 8)) (.f64 2 (.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (-.f64 x -1))) 8))) 32)
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 x 1)))
(/.f64 (neg.f64 (/.f64 2 (log.f64 (-.f64 x -1)))) (-.f64 0 (/.f64 2 (log.f64 (-.f64 1 x)))))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 x 1)))
(/.f64 (neg.f64 (.f64 2 (.f64 (log.f64 (-.f64 1 x)) -2))) (-.f64 0 (*.f64 (neg.f64 (log.f64 (-.f64 x -1))) 4)))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 x 1)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (log.f64 (-.f64 1 x)) 4))) (log.f64 (pow.f64 (-.f64 x -1) 4)))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 x 1)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (log.f64 (-.f64 1 x)) 4))) (-.f64 0 (neg.f64 (log.f64 (pow.f64 (-.f64 x -1) 4)))))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 x 1)))
(/.f64 (neg.f64 (neg.f64 (.f64 (log.f64 (-.f64 1 x)) -2))) (.f64 (log.f64 (-.f64 x -1)) -2))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 x 1)))
(/.f64 (neg.f64 (log.f64 (sqrt.f64 (-.f64 1 x)))) (-.f64 0 (log.f64 (sqrt.f64 (-.f64 x -1)))))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 x 1)))
(/.f64 (neg.f64 (/.f64 1 (log.f64 (-.f64 x -1)))) (-.f64 0 (/.f64 1 (log.f64 (-.f64 1 x)))))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 x 1)))
(pow.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (-.f64 x -1))) 1)
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 x 1)))
(neg.f64 (/.f64 (neg.f64 (log.f64 (-.f64 1 x))) (log.f64 (-.f64 x -1))))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 x 1)))
(log.f64 (pow.f64 (-.f64 1 x) (/.f64 1 (log.f64 (-.f64 x -1)))))
(log.f64 (pow.f64 (-.f64 1 x) (/.f64 1 (log.f64 (+.f64 1 x)))))
(log.f64 (pow.f64 (-.f64 1 x) (/.f64 1 (log.f64 (+.f64 x 1)))))
(log.f64 (sqrt.f64 (pow.f64 (-.f64 1 x) (/.f64 2 (log.f64 (-.f64 x -1))))))
(log.f64 (pow.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 2 (log.f64 (+.f64 1 x)))))
(log.f64 (pow.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 2 (log.f64 (+.f64 x 1)))))
(+.f64 (/.f64 1 (log.f64 (-.f64 x -1))) 0)
(/.f64 1 (log.f64 (+.f64 1 x)))
(/.f64 1 (log.f64 (+.f64 x 1)))
(+.f64 0 (/.f64 1 (log.f64 (-.f64 x -1))))
(/.f64 1 (log.f64 (+.f64 1 x)))
(/.f64 1 (log.f64 (+.f64 x 1)))
(+.f64 (/.f64 1/2 (log.f64 (-.f64 x -1))) (/.f64 1/2 (log.f64 (-.f64 x -1))))
(+.f64 (/.f64 1/2 (log.f64 (+.f64 1 x))) (/.f64 1/2 (log.f64 (+.f64 1 x))))
(+.f64 (/.f64 1/2 (log.f64 (+.f64 x 1))) (/.f64 1/2 (log.f64 (+.f64 x 1))))
(-.f64 (/.f64 1 (log.f64 (-.f64 x -1))) 0)
(/.f64 1 (log.f64 (+.f64 1 x)))
(/.f64 1 (log.f64 (+.f64 x 1)))
(*.f64 1 (/.f64 1 (log.f64 (-.f64 x -1))))
(/.f64 1 (log.f64 (+.f64 1 x)))
(/.f64 1 (log.f64 (+.f64 x 1)))
(.f64 1 (log.f64 (pow.f64 (-.f64 x -1) (/.f64 1 (.f64 (log.f64 (-.f64 x -1)) (log.f64 (-.f64 x -1)))))))
(log.f64 (pow.f64 (+.f64 1 x) (/.f64 1 (*.f64 (log.f64 (+.f64 1 x)) (log.f64 (+.f64 1 x))))))
(.f64 (log.f64 (+.f64 x 1)) (/.f64 1 (.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1)))))
(/.f64 (log.f64 (+.f64 x 1)) (*.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1))))
(.f64 (log.f64 (-.f64 x -1)) (/.f64 1 (.f64 (log.f64 (-.f64 x -1)) (log.f64 (-.f64 x -1)))))
(log.f64 (pow.f64 (+.f64 1 x) (/.f64 1 (*.f64 (log.f64 (+.f64 1 x)) (log.f64 (+.f64 1 x))))))
(.f64 (log.f64 (+.f64 x 1)) (/.f64 1 (.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1)))))
(/.f64 (log.f64 (+.f64 x 1)) (*.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (log.f64 (-.f64 x -1))) 1)
(/.f64 1 (log.f64 (+.f64 1 x)))
(/.f64 1 (log.f64 (+.f64 x 1)))
(*.f64 2 (/.f64 1/2 (log.f64 (-.f64 x -1))))
(*.f64 2 (/.f64 1/2 (log.f64 (+.f64 1 x))))
(*.f64 2 (/.f64 1/2 (log.f64 (+.f64 x 1))))
(.f64 (log.f64 (pow.f64 (-.f64 x -1) 2)) (/.f64 1/2 (.f64 (log.f64 (-.f64 x -1)) (log.f64 (-.f64 x -1)))))
(*.f64 (log.f64 (pow.f64 (+.f64 1 x) 2)) (/.f64 (/.f64 1/2 (log.f64 (+.f64 1 x))) (log.f64 (+.f64 1 x))))
(*.f64 (log.f64 (pow.f64 (+.f64 x 1) 2)) (/.f64 (/.f64 1/2 (log.f64 (+.f64 x 1))) (log.f64 (+.f64 x 1))))
(*.f64 (/.f64 2 (log.f64 (-.f64 x -1))) 1/2)
(*.f64 1/2 (/.f64 2 (log.f64 (+.f64 1 x))))
(*.f64 1/2 (/.f64 2 (log.f64 (+.f64 x 1))))
(*.f64 4 (/.f64 (/.f64 1 (log.f64 (-.f64 x -1))) 4))
(/.f64 1 (log.f64 (+.f64 1 x)))
(/.f64 1 (log.f64 (+.f64 x 1)))
(*.f64 (/.f64 4 (log.f64 (-.f64 x -1))) 1/4)
(*.f64 (/.f64 4 (log.f64 (+.f64 1 x))) 1/4)
(*.f64 (/.f64 4 (log.f64 (+.f64 x 1))) 1/4)
(*.f64 1/4 (/.f64 4 (log.f64 (+.f64 x 1))))
(*.f64 1/2 (/.f64 2 (log.f64 (-.f64 x -1))))
(*.f64 1/2 (/.f64 2 (log.f64 (+.f64 1 x))))
(*.f64 1/2 (/.f64 2 (log.f64 (+.f64 x 1))))
(*.f64 (/.f64 1/2 (log.f64 (-.f64 x -1))) 2)
(*.f64 2 (/.f64 1/2 (log.f64 (+.f64 1 x))))
(*.f64 2 (/.f64 1/2 (log.f64 (+.f64 x 1))))
(.f64 (log.f64 (sqrt.f64 (-.f64 x -1))) (/.f64 2 (.f64 (log.f64 (-.f64 x -1)) (log.f64 (-.f64 x -1)))))
(.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (/.f64 2 (.f64 (log.f64 (+.f64 1 x)) (log.f64 (+.f64 1 x)))))
(.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (/.f64 2 (.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1)))))
(*.f64 1/4 (/.f64 4 (log.f64 (-.f64 x -1))))
(*.f64 (/.f64 4 (log.f64 (+.f64 1 x))) 1/4)
(*.f64 (/.f64 4 (log.f64 (+.f64 x 1))) 1/4)
(*.f64 1/4 (/.f64 4 (log.f64 (+.f64 x 1))))
(.f64 (/.f64 1 (.f64 (log.f64 (-.f64 x -1)) (log.f64 (-.f64 x -1)))) (log.f64 (-.f64 x -1)))
(log.f64 (pow.f64 (+.f64 1 x) (/.f64 1 (*.f64 (log.f64 (+.f64 1 x)) (log.f64 (+.f64 1 x))))))
(.f64 (log.f64 (+.f64 x 1)) (/.f64 1 (.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1)))))
(/.f64 (log.f64 (+.f64 x 1)) (*.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1))))
(.f64 (/.f64 2 (.f64 (log.f64 (-.f64 x -1)) (log.f64 (-.f64 x -1)))) (log.f64 (sqrt.f64 (-.f64 x -1))))
(.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (/.f64 2 (.f64 (log.f64 (+.f64 1 x)) (log.f64 (+.f64 1 x)))))
(.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (/.f64 2 (.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1)))))
(.f64 (/.f64 1/2 (.f64 (log.f64 (-.f64 x -1)) (log.f64 (-.f64 x -1)))) (log.f64 (pow.f64 (-.f64 x -1) 2)))
(*.f64 (log.f64 (pow.f64 (+.f64 1 x) 2)) (/.f64 (/.f64 1/2 (log.f64 (+.f64 1 x))) (log.f64 (+.f64 1 x))))
(*.f64 (log.f64 (pow.f64 (+.f64 x 1) 2)) (/.f64 (/.f64 1/2 (log.f64 (+.f64 x 1))) (log.f64 (+.f64 x 1))))
(*.f64 (/.f64 (/.f64 1 (log.f64 (-.f64 x -1))) 4) 4)
(/.f64 1 (log.f64 (+.f64 1 x)))
(/.f64 1 (log.f64 (+.f64 x 1)))
(pow.f64 (/.f64 1 (log.f64 (-.f64 x -1))) 1)
(/.f64 1 (log.f64 (+.f64 1 x)))
(/.f64 1 (log.f64 (+.f64 x 1)))
(neg.f64 (/.f64 -1 (log.f64 (-.f64 x -1))))
(/.f64 1 (log.f64 (+.f64 1 x)))
(/.f64 1 (log.f64 (+.f64 x 1)))

eval553.0ms (2.2%)

Compiler: Compiled 17605 to 14863 computations (15.6% saved)

prune121.0ms (0.5%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	740	5	745
Fresh	0	2	2
Picked	0	1	1
Done	3	2	5
Total	743	10	753

Error

0.0b

Counts

753 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	61.7b	(/.f64 (log.f64 (-.f64 1 x)) (+.f64 -1 (-.f64 1 (neg.f64 (log.f64 (+.f64 1 x))))))
✓	61.4b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
▶	1.0b	(-.f64 (*.f64 -1/2 x) 1)
▶	0.4b	(-.f64 -1 (+.f64 x (*.f64 (pow.f64 x 2) 1/2)))
✓	0.5b	(-.f64 -1 x)
✓	61.4b	(*.f64 (/.f64 1 (log.f64 (+.f64 1 x))) (log.f64 (-.f64 1 x)))
▶	60.7b	(.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2)) (log.f64 (-.f64 1 x)))
▶	60.7b	(*.f64 (+.f64 (/.f64 1 x) 1/2) (log.f64 (-.f64 1 x)))
▶	61.4b	(*.f64 -1/2 (pow.f64 x 2))
	1.1b	-1

Compiler

Compiled 154 to 127 computations (17.5% saved)

localize12.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 x 2)
✓	0.0b	(-.f64 -1 (+.f64 x (*.f64 (pow.f64 x 2) 1/2)))
✓	0.0b	(*.f64 (pow.f64 x 2) 1/2)

Compiler

Compiled 29 to 22 computations (24.1% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(*.f64 (pow.f64 x 2) 1/2)
1.0ms	x	@	0	(*.f64 (pow.f64 x 2) 1/2)
0.0ms	x	@	0	(-.f64 -1 (+.f64 x (*.f64 (pow.f64 x 2) 1/2)))
0.0ms	x	@	inf	(-.f64 -1 (+.f64 x (*.f64 (pow.f64 x 2) 1/2)))
0.0ms	x	@	-inf	(-.f64 -1 (+.f64 x (*.f64 (pow.f64 x 2) 1/2)))

rewrite272.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1414×	`exponential.json-3`
1414×	`rational.json-1`
1414×	`rational.json-2`
1414×	`rational.json-4`
1414×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	68	38
2	140	38
3	260	38
4	478	38
5	1048	38
6	2807	38
7	5023	38
8	5977	38
9	7099	38
10	7634	38

Stop Event

1×	node limit

Counts

2 → 63

Calls

Call 1

Inputs
(*.f64 (pow.f64 x 2) 1/2)
(-.f64 -1 (+.f64 x (*.f64 (pow.f64 x 2) 1/2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 2) 1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 x 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (*.f64 x 1/2) 2) (pow.f64 (*.f64 x 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 x 2) 1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 x 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 8) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8)) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 2) 1/2) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (neg.f64 (+.f64 x (*.f64 (pow.f64 x 2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (-.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x -1)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (+.f64 x (*.f64 (pow.f64 x 2) 1/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 -1 (+.f64 x (*.f64 (pow.f64 x 2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 x (*.f64 (pow.f64 x 2) 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) -1/2) (*.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 1 (+.f64 x (*.f64 (pow.f64 x 2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)))) (-.f64 1 (*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (neg.f64 (+.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 (+.f64 x (*.f64 (pow.f64 x 2) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 -1 (+.f64 x (*.f64 (pow.f64 x 2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 -1 (+.f64 x (*.f64 (pow.f64 x 2) 1/2))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) -8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 -1 (+.f64 x (*.f64 (pow.f64 x 2) 1/2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x 1))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) -8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) -1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (+.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x -1)) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (+.f64 x (*.f64 (pow.f64 x 2) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -1 (+.f64 x (*.f64 (pow.f64 x 2) 1/2))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) -8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) -8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) -8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) -8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) 4))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) -8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x -1)) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 -1 (+.f64 x (*.f64 (pow.f64 x 2) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x -1)) -2))))))

simplify308.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

2766×	`rational.json-simplify-2`
1706×	`rational.json-simplify-52`
1528×	`rational.json-simplify-35`
1016×	`rational.json-simplify-49`
942×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	134	2023
1	312	1821
2	673	1821
3	1706	1793
4	3983	1793
5	5210	1793
6	6209	1793
7	6994	1793
8	7773	1793
9	7931	1793

Stop Event

1×	node limit

Counts

87 → 84

Calls

Call 1

Inputs
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (*.f64 (pow.f64 x 2) 1/2) 0)
(+.f64 0 (*.f64 (pow.f64 x 2) 1/2))
(+.f64 1 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -1))
(+.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) 1) -1)
(+.f64 (pow.f64 (.f64 x 1/2) 2) (pow.f64 (.f64 x 1/2) 2))
(-.f64 (*.f64 (pow.f64 x 2) 1/2) 0)
(-.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) 1) 1)
(-.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -1) -1)
(/.f64 (pow.f64 x 2) 2)
(/.f64 (*.f64 (pow.f64 x 2) 1/2) 1)
(/.f64 (*.f64 2 (pow.f64 x 2)) 4)
(/.f64 (*.f64 (pow.f64 x 2) 4) 8)
(/.f64 (*.f64 (pow.f64 x 2) 8) 16)
(/.f64 (.f64 2 (.f64 (pow.f64 x 2) 8)) 32)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 2) 8))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) 8)))) 128)
(pow.f64 (*.f64 (pow.f64 x 2) 1/2) 1)
(+.f64 -1 (neg.f64 (+.f64 x (*.f64 (pow.f64 x 2) 1/2))))
(+.f64 -1 (-.f64 1 (-.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x -1)) -2)))
(+.f64 (-.f64 -1 (+.f64 x (*.f64 (pow.f64 x 2) 1/2))) 0)
(+.f64 0 (-.f64 -1 (+.f64 x (*.f64 (pow.f64 x 2) 1/2))))
(+.f64 (neg.f64 (+.f64 x (*.f64 (pow.f64 x 2) 1/2))) -1)
(+.f64 (.f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) -1/2) (.f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) -1/2))
(+.f64 -2 (-.f64 1 (+.f64 x (*.f64 (pow.f64 x 2) 1/2))))
(+.f64 (-.f64 -1 (.f64 1/2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)))) (-.f64 1 (.f64 1/2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)))))
(.f64 2 (.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) -1/2))
(*.f64 1/2 (neg.f64 (+.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 2)))
(.f64 -1 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)))
(.f64 (-.f64 -1 (+.f64 x (.f64 (pow.f64 x 2) 1/2))) 1)
(.f64 1 (-.f64 -1 (+.f64 x (.f64 (pow.f64 x 2) 1/2))))
(*.f64 (neg.f64 (+.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 2)) 1/2)
(.f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) -1)
(.f64 4 (.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) -1/4))
(.f64 (.f64 (-.f64 -1 (+.f64 x (*.f64 (pow.f64 x 2) 1/2))) 4) 1/4)
(*.f64 (+.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 2) -1/2)
(.f64 (.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) -8) 1/8)
(.f64 (.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) -1/2) 2)
(.f64 1/4 (.f64 (-.f64 -1 (+.f64 x (*.f64 (pow.f64 x 2) 1/2))) 4))
(.f64 -2 (.f64 1/2 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x 1))))
(.f64 (.f64 1/2 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x 1))) -2)
(.f64 1/8 (.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) -8))
(.f64 (.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) -1/4) 4)
(*.f64 -1/2 (+.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 2))
(.f64 (-.f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x -1)) -2) -1)
(/.f64 (-.f64 -1 (+.f64 x (*.f64 (pow.f64 x 2) 1/2))) 1)
(/.f64 (neg.f64 (+.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 2)) 2)
(/.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) -1)
(/.f64 (.f64 (-.f64 -1 (+.f64 x (.f64 (pow.f64 x 2) 1/2))) 4) 4)
(/.f64 (+.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 2) -2)
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) -8) 8)
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) 4) -4)
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) -8)) 16)
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) 4)) -8)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) -8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) -8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) 4))) -16)
(/.f64 (neg.f64 (.f64 2 (.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) 4))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) -8))))) 128)
(/.f64 (.f64 2 (neg.f64 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) 4)))) 16)
(/.f64 (-.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x -1)) -2) -1)
(pow.f64 (-.f64 -1 (+.f64 x (*.f64 (pow.f64 x 2) 1/2))) 1)
(neg.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)))
(neg.f64 (-.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x -1)) -2))

Outputs
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
-1
(-.f64 (*.f64 -1 x) 1)
(+.f64 (*.f64 x -1) -1)
(+.f64 -1 (neg.f64 x))
(-.f64 -1 x)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (.f64 x -1) (-.f64 (.f64 (pow.f64 x 2) -1/2) 1))
(+.f64 -1 (+.f64 (neg.f64 x) (*.f64 (pow.f64 x 2) -1/2)))
(+.f64 (-.f64 -1 x) (*.f64 (pow.f64 x 2) -1/2))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (.f64 x -1) (-.f64 (.f64 (pow.f64 x 2) -1/2) 1))
(+.f64 -1 (+.f64 (neg.f64 x) (*.f64 (pow.f64 x 2) -1/2)))
(+.f64 (-.f64 -1 x) (*.f64 (pow.f64 x 2) -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) -1/2)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (.f64 x -1) (.f64 (pow.f64 x 2) -1/2))
(+.f64 (neg.f64 x) (*.f64 (pow.f64 x 2) -1/2))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (.f64 x -1) (-.f64 (.f64 (pow.f64 x 2) -1/2) 1))
(+.f64 -1 (+.f64 (neg.f64 x) (*.f64 (pow.f64 x 2) -1/2)))
(+.f64 (-.f64 -1 x) (*.f64 (pow.f64 x 2) -1/2))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (.f64 x -1) (-.f64 (.f64 (pow.f64 x 2) -1/2) 1))
(+.f64 -1 (+.f64 (neg.f64 x) (*.f64 (pow.f64 x 2) -1/2)))
(+.f64 (-.f64 -1 x) (*.f64 (pow.f64 x 2) -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) -1/2)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (.f64 x -1) (.f64 (pow.f64 x 2) -1/2))
(+.f64 (neg.f64 x) (*.f64 (pow.f64 x 2) -1/2))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (.f64 x -1) (-.f64 (.f64 (pow.f64 x 2) -1/2) 1))
(+.f64 -1 (+.f64 (neg.f64 x) (*.f64 (pow.f64 x 2) -1/2)))
(+.f64 (-.f64 -1 x) (*.f64 (pow.f64 x 2) -1/2))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (.f64 x -1) (-.f64 (.f64 (pow.f64 x 2) -1/2) 1))
(+.f64 -1 (+.f64 (neg.f64 x) (*.f64 (pow.f64 x 2) -1/2)))
(+.f64 (-.f64 -1 x) (*.f64 (pow.f64 x 2) -1/2))
(+.f64 (*.f64 (pow.f64 x 2) 1/2) 0)
(*.f64 1/2 (pow.f64 x 2))
(+.f64 0 (*.f64 (pow.f64 x 2) 1/2))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 1 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -1))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) 1) -1)
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (pow.f64 (.f64 x 1/2) 2) (pow.f64 (.f64 x 1/2) 2))
(*.f64 1/2 (pow.f64 x 2))
(-.f64 (*.f64 (pow.f64 x 2) 1/2) 0)
(*.f64 1/2 (pow.f64 x 2))
(-.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) 1) 1)
(*.f64 1/2 (pow.f64 x 2))
(-.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -1) -1)
(*.f64 1/2 (pow.f64 x 2))
(/.f64 (pow.f64 x 2) 2)
(*.f64 1/2 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) 1/2) 1)
(*.f64 1/2 (pow.f64 x 2))
(/.f64 (*.f64 2 (pow.f64 x 2)) 4)
(*.f64 1/2 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) 4) 8)
(*.f64 1/2 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) 8) 16)
(*.f64 1/2 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 (pow.f64 x 2) 8)) 32)
(*.f64 1/2 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 2) 8))) 64)
(*.f64 1/2 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) 8)))) 128)
(*.f64 1/2 (pow.f64 x 2))
(pow.f64 (*.f64 (pow.f64 x 2) 1/2) 1)
(*.f64 1/2 (pow.f64 x 2))
(+.f64 -1 (neg.f64 (+.f64 x (*.f64 (pow.f64 x 2) 1/2))))
(+.f64 -1 (neg.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 -1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 -1 (-.f64 1 (-.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x -1)) -2)))
(+.f64 -1 (neg.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 -1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (-.f64 -1 (+.f64 x (*.f64 (pow.f64 x 2) 1/2))) 0)
(+.f64 -1 (neg.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 -1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 0 (-.f64 -1 (+.f64 x (*.f64 (pow.f64 x 2) 1/2))))
(+.f64 -1 (neg.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 -1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (neg.f64 (+.f64 x (*.f64 (pow.f64 x 2) 1/2))) -1)
(+.f64 -1 (neg.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 -1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (.f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) -1/2) (.f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) -1/2))
(+.f64 -1 (neg.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 -1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 -2 (-.f64 1 (+.f64 x (*.f64 (pow.f64 x 2) 1/2))))
(+.f64 -1 (neg.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 -1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (-.f64 -1 (.f64 1/2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)))) (-.f64 1 (.f64 1/2 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)))))
(+.f64 -1 (neg.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 -1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(.f64 2 (.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) -1/2))
(+.f64 -1 (neg.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 -1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(*.f64 1/2 (neg.f64 (+.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 2)))
(*.f64 1/2 (neg.f64 (+.f64 2 (+.f64 x (+.f64 x (pow.f64 x 2))))))
(*.f64 -1/2 (+.f64 x (+.f64 (+.f64 x (pow.f64 x 2)) 2)))
(*.f64 -1/2 (+.f64 x (+.f64 2 (+.f64 x (pow.f64 x 2)))))
(*.f64 -1/2 (+.f64 (pow.f64 x 2) (+.f64 2 (+.f64 x x))))
(.f64 -1 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)))
(+.f64 -1 (neg.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 -1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(.f64 (-.f64 -1 (+.f64 x (.f64 (pow.f64 x 2) 1/2))) 1)
(+.f64 -1 (neg.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 -1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(.f64 1 (-.f64 -1 (+.f64 x (.f64 (pow.f64 x 2) 1/2))))
(+.f64 -1 (neg.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 -1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(*.f64 (neg.f64 (+.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 2)) 1/2)
(*.f64 1/2 (neg.f64 (+.f64 2 (+.f64 x (+.f64 x (pow.f64 x 2))))))
(*.f64 -1/2 (+.f64 x (+.f64 (+.f64 x (pow.f64 x 2)) 2)))
(*.f64 -1/2 (+.f64 x (+.f64 2 (+.f64 x (pow.f64 x 2)))))
(*.f64 -1/2 (+.f64 (pow.f64 x 2) (+.f64 2 (+.f64 x x))))
(.f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) -1)
(+.f64 -1 (neg.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 -1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(.f64 4 (.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) -1/4))
(+.f64 -1 (neg.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 -1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(.f64 (.f64 (-.f64 -1 (+.f64 x (*.f64 (pow.f64 x 2) 1/2))) 4) 1/4)
(+.f64 -1 (neg.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 -1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(*.f64 (+.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 2) -1/2)
(*.f64 1/2 (neg.f64 (+.f64 2 (+.f64 x (+.f64 x (pow.f64 x 2))))))
(*.f64 -1/2 (+.f64 x (+.f64 (+.f64 x (pow.f64 x 2)) 2)))
(*.f64 -1/2 (+.f64 x (+.f64 2 (+.f64 x (pow.f64 x 2)))))
(*.f64 -1/2 (+.f64 (pow.f64 x 2) (+.f64 2 (+.f64 x x))))
(.f64 (.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) -8) 1/8)
(+.f64 -1 (neg.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 -1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(.f64 (.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) -1/2) 2)
(+.f64 -1 (neg.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 -1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(.f64 1/4 (.f64 (-.f64 -1 (+.f64 x (*.f64 (pow.f64 x 2) 1/2))) 4))
(+.f64 -1 (neg.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 -1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(.f64 -2 (.f64 1/2 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x 1))))
(+.f64 -1 (neg.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 -1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(.f64 (.f64 1/2 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x 1))) -2)
(+.f64 -1 (neg.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 -1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(.f64 1/8 (.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) -8))
(+.f64 -1 (neg.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 -1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(.f64 (.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) -1/4) 4)
(+.f64 -1 (neg.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 -1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(*.f64 -1/2 (+.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 2))
(*.f64 1/2 (neg.f64 (+.f64 2 (+.f64 x (+.f64 x (pow.f64 x 2))))))
(*.f64 -1/2 (+.f64 x (+.f64 (+.f64 x (pow.f64 x 2)) 2)))
(*.f64 -1/2 (+.f64 x (+.f64 2 (+.f64 x (pow.f64 x 2)))))
(*.f64 -1/2 (+.f64 (pow.f64 x 2) (+.f64 2 (+.f64 x x))))
(.f64 (-.f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x -1)) -2) -1)
(+.f64 -1 (neg.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 -1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(/.f64 (-.f64 -1 (+.f64 x (*.f64 (pow.f64 x 2) 1/2))) 1)
(+.f64 -1 (neg.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 -1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(/.f64 (neg.f64 (+.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 2)) 2)
(*.f64 1/2 (neg.f64 (+.f64 2 (+.f64 x (+.f64 x (pow.f64 x 2))))))
(*.f64 -1/2 (+.f64 x (+.f64 (+.f64 x (pow.f64 x 2)) 2)))
(*.f64 -1/2 (+.f64 x (+.f64 2 (+.f64 x (pow.f64 x 2)))))
(*.f64 -1/2 (+.f64 (pow.f64 x 2) (+.f64 2 (+.f64 x x))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) -1)
(+.f64 -1 (neg.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 -1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(/.f64 (.f64 (-.f64 -1 (+.f64 x (.f64 (pow.f64 x 2) 1/2))) 4) 4)
(+.f64 -1 (neg.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 -1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(/.f64 (+.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 2) -2)
(*.f64 1/2 (neg.f64 (+.f64 2 (+.f64 x (+.f64 x (pow.f64 x 2))))))
(*.f64 -1/2 (+.f64 x (+.f64 (+.f64 x (pow.f64 x 2)) 2)))
(*.f64 -1/2 (+.f64 x (+.f64 2 (+.f64 x (pow.f64 x 2)))))
(*.f64 -1/2 (+.f64 (pow.f64 x 2) (+.f64 2 (+.f64 x x))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) -8) 8)
(+.f64 -1 (neg.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 -1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) 4) -4)
(+.f64 -1 (neg.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 -1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) -8)) 16)
(+.f64 -1 (neg.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 -1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) 4)) -8)
(+.f64 -1 (neg.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 -1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) -8))) 32)
(+.f64 -1 (neg.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 -1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) -8)))) 64)
(+.f64 -1 (neg.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 -1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) 4))) -16)
(+.f64 -1 (neg.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 -1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(/.f64 (neg.f64 (.f64 2 (.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) 4))) 8)
(+.f64 -1 (neg.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 -1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) -8))))) 128)
(+.f64 -1 (neg.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 -1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(/.f64 (.f64 2 (neg.f64 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)) 4)))) 16)
(+.f64 -1 (neg.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 -1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(/.f64 (-.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x -1)) -2) -1)
(+.f64 -1 (neg.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 -1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(pow.f64 (-.f64 -1 (+.f64 x (*.f64 (pow.f64 x 2) 1/2))) 1)
(+.f64 -1 (neg.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 -1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(neg.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x 1)))
(+.f64 -1 (neg.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 -1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(neg.f64 (-.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 x -1)) -2))
(+.f64 -1 (neg.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 -1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))

localize7.0ms (0%)

Compiler: Compiled 12 to 9 computations (25% saved)

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(*.f64 -1/2 (pow.f64 x 2))
	0.0b	(pow.f64 x 2)

Compiler

Compiled 12 to 9 computations (25% saved)

localize13.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 (/.f64 1 x) 1/2) (log.f64 (-.f64 1 x)))
	4.2b	(log.f64 (-.f64 1 x))

Compiler

Compiled 29 to 22 computations (24.1% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(*.f64 (+.f64 (/.f64 1 x) 1/2) (log.f64 (-.f64 1 x)))
0.0ms	x	@	-inf	(*.f64 (+.f64 (/.f64 1 x) 1/2) (log.f64 (-.f64 1 x)))
0.0ms	x	@	0	(*.f64 (+.f64 (/.f64 1 x) 1/2) (log.f64 (-.f64 1 x)))

rewrite97.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1476×	`rational.json-1`
1476×	`rational.json-2`
1476×	`rational.json-3`
1450×	`rational.json-4`
1446×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	82	29
2	178	29
3	369	29
4	761	29
5	1994	29
6	5529	29

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

Inputs
(*.f64 (+.f64 (/.f64 1 x) 1/2) (log.f64 (-.f64 1 x)))

Outputs

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

simplify109.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1254×	`rational.json-simplify-2`
1128×	`rational.json-simplify-35`
1040×	`rational.json-simplify-41`
762×	`rational.json-simplify-43`
680×	`exponential.json-simplify-25`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	95	1113
1	218	1077
2	417	1071
3	875	1059
4	2755	1059
5	5352	1059
6	6956	1059

Stop Event

1×	node limit

Counts

25 → 67

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (.f64 -7/12 (pow.f64 x 2)) (.f64 -1 x)) 1)
(-.f64 (+.f64 (.f64 -7/12 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)))
(-.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) (+.f64 (/.f64 (log.f64 -1) x) (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x)))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x)) (/.f64 (log.f64 -1) x))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 5/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x)) (/.f64 (log.f64 -1) x))) (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (.f64 5/4 (/.f64 1 (pow.f64 x 2))))))
(*.f64 -1/2 (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 -1 (/.f64 (+.f64 1/2 (log.f64 (/.f64 -1 x))) x)) (.f64 -1/2 (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 1/2 (log.f64 (/.f64 -1 x))) x)) (.f64 -1/2 (log.f64 (/.f64 -1 x)))) (*.f64 5/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 1/2 (log.f64 (/.f64 -1 x))) x)) (.f64 -1/2 (log.f64 (/.f64 -1 x)))) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (.f64 5/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (*.f64 (+.f64 (/.f64 1 x) 1/2) (log.f64 (-.f64 1 x))) 0)
(+.f64 0 (*.f64 (+.f64 (/.f64 1 x) 1/2) (log.f64 (-.f64 1 x))))
(+.f64 (.f64 (+.f64 (/.f64 1 x) 1/2) (log.f64 (sqrt.f64 (-.f64 1 x)))) (.f64 (+.f64 (/.f64 1 x) 1/2) (log.f64 (sqrt.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (+.f64 (/.f64 1 x) 1/2) (log.f64 (-.f64 1 x))) 0)
(/.f64 (*.f64 (+.f64 (/.f64 1 x) 1/2) (log.f64 (-.f64 1 x))) 1)
(/.f64 (.f64 (+.f64 (/.f64 1 x) 1/2) (.f64 (log.f64 (-.f64 1 x)) 2)) 2)
(/.f64 (.f64 (log.f64 (-.f64 1 x)) (.f64 (+.f64 (/.f64 1 x) 1/2) 4)) 4)
(/.f64 (.f64 (.f64 (+.f64 (/.f64 1 x) 1/2) (log.f64 (-.f64 1 x))) 8) 8)
(/.f64 (.f64 2 (.f64 (*.f64 (+.f64 (/.f64 1 x) 1/2) (log.f64 (-.f64 1 x))) 8)) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 (+.f64 (/.f64 1 x) 1/2) (log.f64 (-.f64 1 x))) 8)) (.f64 2 (.f64 (.f64 (+.f64 (/.f64 1 x) 1/2) (log.f64 (-.f64 1 x))) 8))) 32)
(pow.f64 (*.f64 (+.f64 (/.f64 1 x) 1/2) (log.f64 (-.f64 1 x))) 1)
(log.f64 (pow.f64 (-.f64 1 x) (+.f64 (/.f64 1 x) 1/2)))
(log.f64 (sqrt.f64 (pow.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 (/.f64 1 x) 1/2))))

Outputs
-1
(-.f64 (*.f64 -1 x) 1)
(+.f64 (*.f64 -1 x) -1)
(+.f64 -1 (neg.f64 x))
(-.f64 -1 x)
(-.f64 (+.f64 (.f64 -7/12 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (.f64 -1 x) (-.f64 (.f64 -7/12 (pow.f64 x 2)) 1))
(+.f64 (*.f64 -7/12 (pow.f64 x 2)) (+.f64 -1 (neg.f64 x)))
(+.f64 -1 (+.f64 (neg.f64 x) (*.f64 -7/12 (pow.f64 x 2))))
(+.f64 (-.f64 -1 x) (*.f64 -7/12 (pow.f64 x 2)))
(-.f64 (+.f64 (.f64 -7/12 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(+.f64 (+.f64 (.f64 -1 x) (.f64 -5/12 (pow.f64 x 3))) (-.f64 (*.f64 -7/12 (pow.f64 x 2)) 1))
(+.f64 -1 (+.f64 (.f64 -5/12 (pow.f64 x 3)) (+.f64 (neg.f64 x) (.f64 -7/12 (pow.f64 x 2)))))
(+.f64 -1 (+.f64 (.f64 -7/12 (pow.f64 x 2)) (+.f64 (neg.f64 x) (.f64 -5/12 (pow.f64 x 3)))))
(+.f64 (.f64 -7/12 (pow.f64 x 2)) (+.f64 (-.f64 -1 x) (.f64 -5/12 (pow.f64 x 3))))
(.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)))
(*.f64 1/2 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (log.f64 -1)))
(-.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) (+.f64 (/.f64 (log.f64 -1) x) (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x)))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (+.f64 (/.f64 (log.f64 -1) x) (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x))) (-.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) (.f64 1/2 (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 (log.f64 -1) x) (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) x))) (*.f64 1/2 (-.f64 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (log.f64 -1)) (/.f64 1 x))))
(+.f64 (/.f64 (log.f64 -1) x) (+.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (-.f64 (log.f64 -1) (/.f64 1 x))))))
(+.f64 (+.f64 (/.f64 (log.f64 -1) x) (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 x))) (*.f64 1/2 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (-.f64 (log.f64 -1) (/.f64 1 x)))))
(+.f64 (/.f64 (log.f64 -1) x) (+.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 x)) (*.f64 1/2 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (-.f64 (log.f64 -1) (/.f64 1 x))))))
(-.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x)) (/.f64 (log.f64 -1) x))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 5/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 (/.f64 (log.f64 -1) x) (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x))) (-.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 5/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (.f64 1/2 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (log.f64 -1))) (-.f64 (+.f64 (/.f64 (log.f64 -1) x) (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 5/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (+.f64 (.f64 1/2 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (log.f64 -1))) (+.f64 (/.f64 (log.f64 -1) x) (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) x)))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 5/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 (log.f64 -1) x) (+.f64 (-.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 x)) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 5/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 1/2 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (log.f64 -1)))))
(-.f64 (+.f64 (.f64 1/2 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (log.f64 -1))) (+.f64 (/.f64 (log.f64 -1) x) (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 x)))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 5/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x)) (/.f64 (log.f64 -1) x))) (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (.f64 5/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (+.f64 (/.f64 (log.f64 -1) x) (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x))) (-.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 5/4 (/.f64 1 (pow.f64 x 2))) (.f64 2/3 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 (.f64 1/2 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (log.f64 -1))) (-.f64 (+.f64 (/.f64 (log.f64 -1) x) (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (.f64 5/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x))))))
(+.f64 (.f64 1/2 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (log.f64 -1))) (-.f64 (+.f64 (/.f64 (log.f64 -1) x) (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (.f64 5/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2/3 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 (.f64 1/2 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (log.f64 -1))) (-.f64 (+.f64 (/.f64 (log.f64 -1) x) (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 x))) (+.f64 (.f64 5/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2/3 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 (.f64 1/2 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (log.f64 -1))) (-.f64 (+.f64 (/.f64 (log.f64 -1) x) (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 x))) (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 5/4 (/.f64 1 (pow.f64 x 2))) (.f64 2/3 (/.f64 1 (pow.f64 x 3)))))))
(*.f64 -1/2 (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 -1 (/.f64 (+.f64 1/2 (log.f64 (/.f64 -1 x))) x)) (.f64 -1/2 (log.f64 (/.f64 -1 x))))
(+.f64 (.f64 -1/2 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (+.f64 1/2 (log.f64 (/.f64 -1 x))) x)))
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 -1 x))) (neg.f64 (/.f64 (+.f64 1/2 (log.f64 (/.f64 -1 x))) x)))
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 -1 x))) (/.f64 (+.f64 1/2 (log.f64 (/.f64 -1 x))) (neg.f64 x)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 1/2 (log.f64 (/.f64 -1 x))) x)) (.f64 -1/2 (log.f64 (/.f64 -1 x)))) (*.f64 5/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 -1/2 (log.f64 (/.f64 -1 x))) (-.f64 (.f64 -1 (/.f64 (+.f64 1/2 (log.f64 (/.f64 -1 x))) x)) (*.f64 5/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 -1/2 (log.f64 (/.f64 -1 x))) (-.f64 (neg.f64 (/.f64 (+.f64 1/2 (log.f64 (/.f64 -1 x))) x)) (.f64 5/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 -1/2 (log.f64 (/.f64 -1 x))) (-.f64 (/.f64 (+.f64 1/2 (log.f64 (/.f64 -1 x))) (neg.f64 x)) (.f64 5/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 1/2 (log.f64 (/.f64 -1 x))) x)) (.f64 -1/2 (log.f64 (/.f64 -1 x)))) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (.f64 5/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 -1/2 (log.f64 (/.f64 -1 x))) (-.f64 (.f64 -1 (/.f64 (+.f64 1/2 (log.f64 (/.f64 -1 x))) x)) (+.f64 (.f64 5/4 (/.f64 1 (pow.f64 x 2))) (.f64 2/3 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (.f64 -1/2 (log.f64 (/.f64 -1 x))) (-.f64 (neg.f64 (/.f64 (+.f64 1/2 (log.f64 (/.f64 -1 x))) x)) (+.f64 (.f64 5/4 (/.f64 1 (pow.f64 x 2))) (*.f64 2/3 (/.f64 1 (pow.f64 x 3))))))
(-.f64 (+.f64 (.f64 -1/2 (log.f64 (/.f64 -1 x))) (neg.f64 (/.f64 (+.f64 1/2 (log.f64 (/.f64 -1 x))) x))) (+.f64 (.f64 5/4 (/.f64 1 (pow.f64 x 2))) (*.f64 2/3 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (.f64 -1/2 (log.f64 (/.f64 -1 x))) (-.f64 (/.f64 (+.f64 1/2 (log.f64 (/.f64 -1 x))) (neg.f64 x)) (+.f64 (.f64 5/4 (/.f64 1 (pow.f64 x 2))) (*.f64 2/3 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (*.f64 (+.f64 (/.f64 1 x) 1/2) (log.f64 (-.f64 1 x))) 0)
(*.f64 (+.f64 1/2 (/.f64 1 x)) (log.f64 (-.f64 1 x)))
(+.f64 0 (*.f64 (+.f64 (/.f64 1 x) 1/2) (log.f64 (-.f64 1 x))))
(*.f64 (+.f64 1/2 (/.f64 1 x)) (log.f64 (-.f64 1 x)))
(+.f64 (.f64 (+.f64 (/.f64 1 x) 1/2) (log.f64 (sqrt.f64 (-.f64 1 x)))) (.f64 (+.f64 (/.f64 1 x) 1/2) (log.f64 (sqrt.f64 (-.f64 1 x)))))
(*.f64 (+.f64 1/2 (/.f64 1 x)) (log.f64 (-.f64 1 x)))
(-.f64 (*.f64 (+.f64 (/.f64 1 x) 1/2) (log.f64 (-.f64 1 x))) 0)
(*.f64 (+.f64 1/2 (/.f64 1 x)) (log.f64 (-.f64 1 x)))
(/.f64 (*.f64 (+.f64 (/.f64 1 x) 1/2) (log.f64 (-.f64 1 x))) 1)
(*.f64 (+.f64 1/2 (/.f64 1 x)) (log.f64 (-.f64 1 x)))
(/.f64 (.f64 (+.f64 (/.f64 1 x) 1/2) (.f64 (log.f64 (-.f64 1 x)) 2)) 2)
(*.f64 (+.f64 1/2 (/.f64 1 x)) (log.f64 (-.f64 1 x)))
(/.f64 (.f64 (log.f64 (-.f64 1 x)) (.f64 (+.f64 (/.f64 1 x) 1/2) 4)) 4)
(*.f64 (+.f64 1/2 (/.f64 1 x)) (log.f64 (-.f64 1 x)))
(/.f64 (.f64 (.f64 (+.f64 (/.f64 1 x) 1/2) (log.f64 (-.f64 1 x))) 8) 8)
(*.f64 (+.f64 1/2 (/.f64 1 x)) (log.f64 (-.f64 1 x)))
(/.f64 (.f64 2 (.f64 (*.f64 (+.f64 (/.f64 1 x) 1/2) (log.f64 (-.f64 1 x))) 8)) 16)
(*.f64 (+.f64 1/2 (/.f64 1 x)) (log.f64 (-.f64 1 x)))
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 (+.f64 (/.f64 1 x) 1/2) (log.f64 (-.f64 1 x))) 8)) (.f64 2 (.f64 (.f64 (+.f64 (/.f64 1 x) 1/2) (log.f64 (-.f64 1 x))) 8))) 32)
(*.f64 (+.f64 1/2 (/.f64 1 x)) (log.f64 (-.f64 1 x)))
(pow.f64 (*.f64 (+.f64 (/.f64 1 x) 1/2) (log.f64 (-.f64 1 x))) 1)
(*.f64 (+.f64 1/2 (/.f64 1 x)) (log.f64 (-.f64 1 x)))
(log.f64 (pow.f64 (-.f64 1 x) (+.f64 (/.f64 1 x) 1/2)))
(log.f64 (pow.f64 (-.f64 1 x) (+.f64 1/2 (/.f64 1 x))))
(log.f64 (sqrt.f64 (pow.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 (/.f64 1 x) 1/2))))
(log.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 -1 x) 2)) (+.f64 1/2 (/.f64 1 x))))
(*.f64 (+.f64 1/2 (/.f64 1 x)) (log.f64 (pow.f64 (+.f64 -1 x) 1)))
(*.f64 (+.f64 1/2 (/.f64 1 x)) (log.f64 (+.f64 -1 x)))

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1 x) (+.f64 (*.f64 x -1/12) 1/2))
✓	0.0b	(.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2)) (log.f64 (-.f64 1 x)))
✓	0.3b	(*.f64 x -1/12)
	4.2b	(log.f64 (-.f64 1 x))

Compiler

Compiled 46 to 35 computations (23.9% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2)) (log.f64 (-.f64 1 x)))
0.0ms	x	@	-inf	(.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2)) (log.f64 (-.f64 1 x)))
0.0ms	x	@	inf	(*.f64 x -1/12)
0.0ms	x	@	0	(*.f64 x -1/12)
0.0ms	x	@	-inf	(*.f64 x -1/12)

rewrite91.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2024×	`rational.json-1`
992×	`rational.json-2`
992×	`rational.json-3`
986×	`rational.json-4`
984×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	73
1	104	73
2	220	73
3	468	73
4	1071	73
5	3014	73
6	7712	73

Stop Event

1×	node limit

Counts

3 → 42

Calls

Call 1

Inputs
(*.f64 x -1/12)
(.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2)) (log.f64 (-.f64 1 x)))
(+.f64 (/.f64 1 x) (+.f64 (*.f64 x -1/12) 1/2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -1/12) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x -1/12))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -1/24) (*.f64 x -1/24))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x -1/12) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1/12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 x -1/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 x -1/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 x -1/3))) (*.f64 2 (*.f64 2 (*.f64 x -1/3)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -1/12) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) (log.f64 (-.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) (log.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) (log.f64 (sqrt.f64 (-.f64 1 x)))) (*.f64 (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) (log.f64 (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) (log.f64 (-.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) (log.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) (log.f64 (pow.f64 (+.f64 x -1) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) (*.f64 (log.f64 (-.f64 1 x)) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) (*.f64 (log.f64 (-.f64 1 x)) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) (*.f64 (log.f64 (-.f64 1 x)) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) (*.f64 (log.f64 (-.f64 1 x)) 4)))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) (*.f64 (log.f64 (-.f64 1 x)) 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) (log.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (-.f64 1 x) (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (sqrt.f64 (pow.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) 4))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) 1)))))

simplify84.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1100×	`rational.json-simplify-2`
1052×	`rational.json-simplify-1`
938×	`exponential.json-simplify-26`
858×	`rational.json-simplify-51`
790×	`rational.json-simplify-35`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	156	2176
1	354	2106
2	948	1986
3	3092	1974
4	6702	1974

Stop Event

1×	node limit

Counts

78 → 103

Calls

Call 1

Inputs
(*.f64 -1/12 x)
(*.f64 -1/12 x)
(*.f64 -1/12 x)
(*.f64 -1/12 x)
(*.f64 -1/12 x)
(*.f64 -1/12 x)
(*.f64 -1/12 x)
(*.f64 -1/12 x)
(*.f64 -1/12 x)
(*.f64 -1/12 x)
(*.f64 -1/12 x)
(*.f64 -1/12 x)
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(-.f64 (+.f64 (.f64 -3/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(.f64 -1/12 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) x))
(+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) (+.f64 1/12 (.f64 -1/12 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) x))))
(-.f64 (+.f64 1/12 (+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x)) (+.f64 (/.f64 (log.f64 -1) x) (.f64 -1/12 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) x)))))) (*.f64 11/24 (/.f64 1 x)))
(-.f64 (+.f64 1/12 (+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) (+.f64 (/.f64 (log.f64 -1) x) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x)) (.f64 -1/12 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) x)))))) (+.f64 (.f64 11/9 (/.f64 1 (pow.f64 x 2))) (.f64 11/24 (/.f64 1 x))))
(.f64 1/12 (.f64 (log.f64 (/.f64 -1 x)) x))
(+.f64 (.f64 1/12 (.f64 (log.f64 (/.f64 -1 x)) x)) (+.f64 1/12 (*.f64 -1/2 (log.f64 (/.f64 -1 x)))))
(+.f64 (.f64 1/12 (.f64 (log.f64 (/.f64 -1 x)) x)) (+.f64 1/12 (+.f64 (.f64 -1 (/.f64 (+.f64 11/24 (log.f64 (/.f64 -1 x))) x)) (.f64 -1/2 (log.f64 (/.f64 -1 x))))))
(-.f64 (+.f64 (.f64 1/12 (.f64 (log.f64 (/.f64 -1 x)) x)) (+.f64 1/12 (+.f64 (.f64 -1 (/.f64 (+.f64 11/24 (log.f64 (/.f64 -1 x))) x)) (.f64 -1/2 (log.f64 (/.f64 -1 x)))))) (*.f64 11/9 (/.f64 1 (pow.f64 x 2))))
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (+.f64 (*.f64 -1/12 x) (/.f64 1 x)))
(+.f64 1/2 (+.f64 (*.f64 -1/12 x) (/.f64 1 x)))
(*.f64 -1/12 x)
(+.f64 1/2 (*.f64 -1/12 x))
(+.f64 1/2 (+.f64 (*.f64 -1/12 x) (/.f64 1 x)))
(+.f64 1/2 (+.f64 (*.f64 -1/12 x) (/.f64 1 x)))
(*.f64 -1/12 x)
(+.f64 1/2 (*.f64 -1/12 x))
(+.f64 1/2 (+.f64 (*.f64 -1/12 x) (/.f64 1 x)))
(+.f64 1/2 (+.f64 (*.f64 -1/12 x) (/.f64 1 x)))
(+.f64 (*.f64 x -1/12) 0)
(+.f64 0 (*.f64 x -1/12))
(+.f64 (.f64 x -1/24) (.f64 x -1/24))
(-.f64 (*.f64 x -1/12) 0)
(/.f64 (*.f64 x -1/12) 1)
(/.f64 (*.f64 x -1/6) 2)
(/.f64 (*.f64 x -1/3) 4)
(/.f64 (.f64 2 (.f64 x -1/3)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 x -1/3))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 x -1/3))) (.f64 2 (.f64 2 (.f64 x -1/3)))) 32)
(pow.f64 (*.f64 x -1/12) 1)
(+.f64 (.f64 (+.f64 (.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) (log.f64 (-.f64 1 x))) 0)
(+.f64 0 (.f64 (+.f64 (.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) (log.f64 (-.f64 1 x))))
(+.f64 (.f64 (+.f64 (.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) (log.f64 (sqrt.f64 (-.f64 1 x)))) (.f64 (+.f64 (.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) (log.f64 (sqrt.f64 (-.f64 1 x)))))
(-.f64 (.f64 (+.f64 (.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) (log.f64 (-.f64 1 x))) 0)
(/.f64 (.f64 (+.f64 (.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) (log.f64 (-.f64 1 x))) 1)
(/.f64 (.f64 (+.f64 (.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) (log.f64 (pow.f64 (+.f64 x -1) 2))) 2)
(/.f64 (.f64 (+.f64 (.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) (*.f64 (log.f64 (-.f64 1 x)) 4)) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) (.f64 (log.f64 (-.f64 1 x)) 4))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) (*.f64 (log.f64 (-.f64 1 x)) 4)))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) (.f64 (log.f64 (-.f64 1 x)) 4)))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) (.f64 (log.f64 (-.f64 1 x)) 4))))) 32)
(pow.f64 (.f64 (+.f64 (.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) (log.f64 (-.f64 1 x))) 1)
(log.f64 (pow.f64 (-.f64 1 x) (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2))))
(log.f64 (sqrt.f64 (pow.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)))))
(-.f64 (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) 0)
(.f64 1 (+.f64 (.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)))
(.f64 1/2 (.f64 (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) 2))
(.f64 (+.f64 (.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) 1)
(.f64 2 (.f64 1/2 (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2))))
(.f64 (.f64 (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) 2) 1/2)
(.f64 4 (/.f64 (+.f64 (.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) 4))
(.f64 (.f64 (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) 4) 1/4)
(.f64 (.f64 1/2 (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2))) 2)
(.f64 1/4 (.f64 (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) 4))
(.f64 (/.f64 (+.f64 (.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) 4) 4)
(/.f64 (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) 1)
(/.f64 (.f64 (+.f64 (.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) 2) 2)
(/.f64 (.f64 (+.f64 (.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) 4))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) 4))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) 4)))) 32)
(pow.f64 (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) 1)

Outputs
(*.f64 -1/12 x)
(*.f64 -1/12 x)
(*.f64 -1/12 x)
(*.f64 -1/12 x)
(*.f64 -1/12 x)
(*.f64 -1/12 x)
(*.f64 -1/12 x)
(*.f64 -1/12 x)
(*.f64 -1/12 x)
(*.f64 -1/12 x)
(*.f64 -1/12 x)
(*.f64 -1/12 x)
-1
(-.f64 (*.f64 -1 x) 1)
(+.f64 (*.f64 x -1) -1)
(+.f64 -1 (neg.f64 x))
(-.f64 -1 x)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (.f64 x -1) (-.f64 (.f64 -1/2 (pow.f64 x 2)) 1))
(+.f64 -1 (+.f64 (neg.f64 x) (*.f64 -1/2 (pow.f64 x 2))))
(+.f64 (-.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(-.f64 (+.f64 (.f64 -3/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(+.f64 (+.f64 (.f64 x -1) (.f64 -1/2 (pow.f64 x 2))) (-.f64 (*.f64 -3/8 (pow.f64 x 3)) 1))
(+.f64 -1 (+.f64 (neg.f64 x) (+.f64 (.f64 -3/8 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 2)))))
(+.f64 -1 (+.f64 (neg.f64 x) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -3/8 (pow.f64 x 3)))))
(+.f64 (-.f64 -1 x) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -3/8 (pow.f64 x 3))))
(.f64 -1/12 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) x))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (*.f64 -1/12 x))
(.f64 -1/12 (.f64 x (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (log.f64 -1))))
(.f64 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (log.f64 -1)) (.f64 -1/12 x))
(+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) (+.f64 1/12 (.f64 -1/12 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) x))))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 1/2) (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (*.f64 -1/12 x)) 1/12))
(+.f64 1/12 (.f64 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (log.f64 -1)) (+.f64 1/2 (.f64 -1/12 x))))
(-.f64 (+.f64 1/12 (+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x)) (+.f64 (/.f64 (log.f64 -1) x) (.f64 -1/12 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) x)))))) (*.f64 11/24 (/.f64 1 x)))
(+.f64 (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 1/2) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x)) (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (.f64 -1/12 x)) (/.f64 (log.f64 -1) x)))) (-.f64 1/12 (*.f64 (/.f64 1 x) 11/24)))
(+.f64 (+.f64 (.f64 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (log.f64 -1)) 1/2) (+.f64 (.f64 -1/12 (.f64 x (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (log.f64 -1)))) (+.f64 (/.f64 (log.f64 -1) x) (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) x))))) (-.f64 1/12 (.f64 (/.f64 1 x) 11/24)))
(+.f64 1/12 (+.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) x)) (-.f64 (+.f64 (/.f64 (log.f64 -1) x) (.f64 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (log.f64 -1)) (+.f64 1/2 (.f64 -1/12 x)))) (*.f64 (/.f64 1 x) 11/24))))
(+.f64 1/12 (+.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 x)) (+.f64 (.f64 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (log.f64 -1)) (+.f64 1/2 (.f64 -1/12 x))) (-.f64 (/.f64 (log.f64 -1) x) (*.f64 (/.f64 1 x) 11/24)))))
(-.f64 (+.f64 1/12 (+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) (+.f64 (/.f64 (log.f64 -1) x) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x)) (.f64 -1/12 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) x)))))) (+.f64 (.f64 11/9 (/.f64 1 (pow.f64 x 2))) (.f64 11/24 (/.f64 1 x))))
(+.f64 (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 1/2) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x)) (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (.f64 -1/12 x)) (/.f64 (log.f64 -1) x)))) (-.f64 1/12 (+.f64 (.f64 (/.f64 1 x) 11/24) (.f64 11/9 (/.f64 1 (pow.f64 x 2))))))
(+.f64 1/12 (-.f64 (+.f64 (.f64 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (log.f64 -1)) 1/2) (+.f64 (.f64 -1/12 (.f64 x (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (log.f64 -1)))) (+.f64 (/.f64 (log.f64 -1) x) (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) x))))) (+.f64 (.f64 (/.f64 1 x) 11/24) (*.f64 11/9 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (+.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) x)) (+.f64 (/.f64 (log.f64 -1) x) (.f64 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (log.f64 -1)) (+.f64 1/2 (.f64 -1/12 x))))) (-.f64 1/12 (+.f64 (.f64 (/.f64 1 x) 11/24) (.f64 11/9 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (+.f64 1/12 (+.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 x)) (.f64 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (log.f64 -1)) (+.f64 1/2 (.f64 -1/12 x))))) (-.f64 (/.f64 (log.f64 -1) x) (+.f64 (.f64 (/.f64 1 x) 11/24) (.f64 11/9 (/.f64 1 (pow.f64 x 2))))))
(.f64 1/12 (.f64 (log.f64 (/.f64 -1 x)) x))
(.f64 (log.f64 (/.f64 -1 x)) (.f64 x 1/12))
(.f64 x (.f64 (log.f64 (/.f64 -1 x)) 1/12))
(.f64 x (.f64 1/12 (log.f64 (/.f64 -1 x))))
(+.f64 (.f64 1/12 (.f64 (log.f64 (/.f64 -1 x)) x)) (+.f64 1/12 (*.f64 -1/2 (log.f64 (/.f64 -1 x)))))
(+.f64 1/12 (+.f64 (.f64 -1/2 (log.f64 (/.f64 -1 x))) (.f64 (log.f64 (/.f64 -1 x)) (*.f64 x 1/12))))
(+.f64 1/12 (+.f64 (.f64 x (.f64 (log.f64 (/.f64 -1 x)) 1/12)) (*.f64 -1/2 (log.f64 (/.f64 -1 x)))))
(+.f64 1/12 (.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 x 1/12) -1/2)))
(+.f64 1/12 (.f64 (log.f64 (/.f64 -1 x)) (+.f64 -1/2 (.f64 x 1/12))))
(+.f64 (.f64 1/12 (.f64 (log.f64 (/.f64 -1 x)) x)) (+.f64 1/12 (+.f64 (.f64 -1 (/.f64 (+.f64 11/24 (log.f64 (/.f64 -1 x))) x)) (.f64 -1/2 (log.f64 (/.f64 -1 x))))))
(+.f64 (.f64 (log.f64 (/.f64 -1 x)) (.f64 x 1/12)) (+.f64 (.f64 -1 (/.f64 (+.f64 11/24 (log.f64 (/.f64 -1 x))) x)) (+.f64 1/12 (.f64 -1/2 (log.f64 (/.f64 -1 x))))))
(+.f64 (.f64 x (.f64 (log.f64 (/.f64 -1 x)) 1/12)) (+.f64 1/12 (+.f64 (*.f64 -1/2 (log.f64 (/.f64 -1 x))) (neg.f64 (/.f64 (+.f64 11/24 (log.f64 (/.f64 -1 x))) x)))))
(+.f64 1/12 (+.f64 (neg.f64 (/.f64 (+.f64 11/24 (log.f64 (/.f64 -1 x))) x)) (.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 x 1/12) -1/2))))
(+.f64 1/12 (+.f64 (/.f64 (+.f64 11/24 (log.f64 (/.f64 -1 x))) (neg.f64 x)) (.f64 (log.f64 (/.f64 -1 x)) (+.f64 -1/2 (.f64 x 1/12)))))
(-.f64 (+.f64 (.f64 1/12 (.f64 (log.f64 (/.f64 -1 x)) x)) (+.f64 1/12 (+.f64 (.f64 -1 (/.f64 (+.f64 11/24 (log.f64 (/.f64 -1 x))) x)) (.f64 -1/2 (log.f64 (/.f64 -1 x)))))) (*.f64 11/9 (/.f64 1 (pow.f64 x 2))))
(+.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 11/24 (log.f64 (/.f64 -1 x))) x)) (+.f64 1/12 (.f64 -1/2 (log.f64 (/.f64 -1 x))))) (-.f64 (.f64 (log.f64 (/.f64 -1 x)) (.f64 x 1/12)) (*.f64 11/9 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 1/12 (+.f64 (.f64 -1/2 (log.f64 (/.f64 -1 x))) (neg.f64 (/.f64 (+.f64 11/24 (log.f64 (/.f64 -1 x))) x)))) (-.f64 (.f64 x (.f64 (log.f64 (/.f64 -1 x)) 1/12)) (.f64 11/9 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 11/24 (log.f64 (/.f64 -1 x))) x)) (.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 x 1/12) -1/2))) (-.f64 1/12 (*.f64 11/9 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 (+.f64 11/24 (log.f64 (/.f64 -1 x))) (neg.f64 x)) (-.f64 (+.f64 1/12 (.f64 (log.f64 (/.f64 -1 x)) (+.f64 -1/2 (.f64 x 1/12)))) (*.f64 11/9 (/.f64 1 (pow.f64 x 2)))))
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/12 x) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 -1/12 x)))
(+.f64 1/2 (+.f64 (*.f64 -1/12 x) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 -1/12 x)))
(*.f64 -1/12 x)
(+.f64 1/2 (*.f64 -1/12 x))
(+.f64 1/2 (+.f64 (*.f64 -1/12 x) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 -1/12 x)))
(+.f64 1/2 (+.f64 (*.f64 -1/12 x) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 -1/12 x)))
(*.f64 -1/12 x)
(+.f64 1/2 (*.f64 -1/12 x))
(+.f64 1/2 (+.f64 (*.f64 -1/12 x) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 -1/12 x)))
(+.f64 1/2 (+.f64 (*.f64 -1/12 x) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 -1/12 x)))
(+.f64 (*.f64 x -1/12) 0)
(*.f64 -1/12 x)
(+.f64 0 (*.f64 x -1/12))
(*.f64 -1/12 x)
(+.f64 (.f64 x -1/24) (.f64 x -1/24))
(*.f64 -1/12 x)
(-.f64 (*.f64 x -1/12) 0)
(*.f64 -1/12 x)
(/.f64 (*.f64 x -1/12) 1)
(*.f64 -1/12 x)
(/.f64 (*.f64 x -1/6) 2)
(*.f64 -1/12 x)
(/.f64 (*.f64 x -1/3) 4)
(*.f64 -1/12 x)
(/.f64 (.f64 2 (.f64 x -1/3)) 8)
(*.f64 -1/12 x)
(/.f64 (.f64 2 (.f64 2 (*.f64 x -1/3))) 16)
(*.f64 -1/12 x)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 x -1/3))) (.f64 2 (.f64 2 (.f64 x -1/3)))) 32)
(*.f64 -1/12 x)
(pow.f64 (*.f64 x -1/12) 1)
(*.f64 -1/12 x)
(+.f64 (.f64 (+.f64 (.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) (log.f64 (-.f64 1 x))) 0)
(.f64 (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 -1/12 x))) (log.f64 (-.f64 1 x)))
(+.f64 0 (.f64 (+.f64 (.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) (log.f64 (-.f64 1 x))))
(.f64 (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 -1/12 x))) (log.f64 (-.f64 1 x)))
(+.f64 (.f64 (+.f64 (.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) (log.f64 (sqrt.f64 (-.f64 1 x)))) (.f64 (+.f64 (.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) (log.f64 (sqrt.f64 (-.f64 1 x)))))
(.f64 (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 -1/12 x))) (log.f64 (-.f64 1 x)))
(-.f64 (.f64 (+.f64 (.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) (log.f64 (-.f64 1 x))) 0)
(.f64 (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 -1/12 x))) (log.f64 (-.f64 1 x)))
(/.f64 (.f64 (+.f64 (.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) (log.f64 (-.f64 1 x))) 1)
(.f64 (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 -1/12 x))) (log.f64 (-.f64 1 x)))
(/.f64 (.f64 (+.f64 (.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) (log.f64 (pow.f64 (+.f64 x -1) 2))) 2)
(.f64 (log.f64 (pow.f64 (+.f64 x -1) 2)) (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 -1/12 x))) 2))
(.f64 (log.f64 (pow.f64 (+.f64 x -1) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 -1/12 x))))) 1)
(.f64 (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 -1/12 x))) (log.f64 (+.f64 x -1)))
(/.f64 (.f64 (+.f64 (.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) (*.f64 (log.f64 (-.f64 1 x)) 4)) 4)
(.f64 (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 -1/12 x))) (log.f64 (-.f64 1 x)))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) (.f64 (log.f64 (-.f64 1 x)) 4))) 8)
(.f64 (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 -1/12 x))) (log.f64 (-.f64 1 x)))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) (*.f64 (log.f64 (-.f64 1 x)) 4)))) 16)
(.f64 (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 -1/12 x))) (log.f64 (-.f64 1 x)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) (.f64 (log.f64 (-.f64 1 x)) 4)))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) (.f64 (log.f64 (-.f64 1 x)) 4))))) 32)
(.f64 (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 -1/12 x))) (log.f64 (-.f64 1 x)))
(pow.f64 (.f64 (+.f64 (.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) (log.f64 (-.f64 1 x))) 1)
(.f64 (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 -1/12 x))) (log.f64 (-.f64 1 x)))
(log.f64 (pow.f64 (-.f64 1 x) (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2))))
(.f64 (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 -1/12 x))) (log.f64 (-.f64 1 x)))
(log.f64 (sqrt.f64 (pow.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)))))
(.f64 (log.f64 (pow.f64 (+.f64 x -1) 2)) (/.f64 (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 -1/12 x))) 2))
(.f64 (log.f64 (pow.f64 (+.f64 x -1) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 -1/12 x))))) 1)
(.f64 (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 -1/12 x))) (log.f64 (+.f64 x -1)))
(-.f64 (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) 0)
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 -1/12 x)))
(.f64 1 (+.f64 (.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 -1/12 x)))
(.f64 1/2 (.f64 (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) 2))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 -1/12 x)))
(.f64 (+.f64 (.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) 1)
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 -1/12 x)))
(.f64 2 (.f64 1/2 (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2))))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 -1/12 x)))
(.f64 (.f64 (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) 2) 1/2)
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 -1/12 x)))
(.f64 4 (/.f64 (+.f64 (.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) 4))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 -1/12 x)))
(.f64 (.f64 (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) 4) 1/4)
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 -1/12 x)))
(.f64 (.f64 1/2 (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2))) 2)
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 -1/12 x)))
(.f64 1/4 (.f64 (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) 4))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 -1/12 x)))
(.f64 (/.f64 (+.f64 (.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) 4) 4)
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 -1/12 x)))
(/.f64 (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) 1)
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 -1/12 x)))
(/.f64 (.f64 (+.f64 (.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) 2) 2)
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 -1/12 x)))
(/.f64 (.f64 (+.f64 (.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) 4) 4)
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 -1/12 x)))
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) 4)) 8)
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 -1/12 x)))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) 4))) 16)
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 -1/12 x)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) 4))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) 4)))) 32)
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 -1/12 x)))
(pow.f64 (+.f64 (*.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) 1)
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 -1/12 x)))

eval177.0ms (0.7%)

Compiler: Compiled 8196 to 6805 computations (17% saved)

prune173.0ms (0.7%)

Pruning

14 alts after pruning (6 fresh and 8 done)

	Pruned	Kept	Total
New	474	4	478
Fresh	0	2	2
Picked	0	1	1
Done	0	7	7
Total	474	14	488

Error

0.0b

Counts

488 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	61.7b	(/.f64 (log.f64 (-.f64 1 x)) (+.f64 -1 (-.f64 1 (neg.f64 (log.f64 (+.f64 1 x))))))
✓	61.4b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
✓	1.0b	(-.f64 (*.f64 -1/2 x) 1)
✓	0.4b	(-.f64 -1 (+.f64 x (*.f64 (pow.f64 x 2) 1/2)))
✓	0.5b	(-.f64 -1 x)
▶	0.4b	(+.f64 (-.f64 -1 x) (*.f64 -7/12 (pow.f64 x 2)))
▶	61.9b	(+.f64 -1 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)))
✓	61.4b	(*.f64 (/.f64 1 (log.f64 (+.f64 1 x))) (log.f64 (-.f64 1 x)))
▶	1.1b	(.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2)) (neg.f64 x))
✓	60.7b	(.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2)) (log.f64 (-.f64 1 x)))
▶	0.6b	(.f64 (+.f64 (/.f64 1 x) 1/2) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (neg.f64 x)))
✓	60.7b	(*.f64 (+.f64 (/.f64 1 x) 1/2) (log.f64 (-.f64 1 x)))
✓	61.4b	(*.f64 -1/2 (pow.f64 x 2))
	1.1b	-1

Compiler

Compiled 202 to 166 computations (17.8% saved)

localize10.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 x 2)
✓	0.0b	(+.f64 (-.f64 -1 x) (*.f64 -7/12 (pow.f64 x 2)))
✓	0.2b	(*.f64 -7/12 (pow.f64 x 2))

Compiler

Compiled 25 to 19 computations (24% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(*.f64 -7/12 (pow.f64 x 2))
0.0ms	x	@	0	(*.f64 -7/12 (pow.f64 x 2))
0.0ms	x	@	inf	(+.f64 (-.f64 -1 x) (*.f64 -7/12 (pow.f64 x 2)))
0.0ms	x	@	-inf	(+.f64 (-.f64 -1 x) (*.f64 -7/12 (pow.f64 x 2)))
0.0ms	x	@	0	(+.f64 (-.f64 -1 x) (*.f64 -7/12 (pow.f64 x 2)))

rewrite158.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1404×	`exponential.json-3`
1404×	`rational.json-1`
1404×	`rational.json-2`
1404×	`rational.json-4`
1404×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	68	38
2	140	38
3	257	38
4	474	38
5	1047	38
6	2844	38
7	5063	38
8	6008	38
9	7158	38
10	7620	38

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

Inputs
(*.f64 -7/12 (pow.f64 x 2))
(+.f64 (-.f64 -1 x) (*.f64 -7/12 (pow.f64 x 2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -7/12 (pow.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -7/12 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 2) -7/24) (*.f64 (pow.f64 x 2) -7/24))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -7/12 (pow.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -7/12 (pow.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) -7/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) -7/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) -14/3) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 x 2) -14/3)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -14/3))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -14/3)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -14/3))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -7/12 (pow.f64 x 2)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -7/12 (pow.f64 x 2)) (neg.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (-.f64 -1 x) 1/2) (*.f64 (pow.f64 x 2) -7/24)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (-.f64 (-.f64 -2 x) x) (*.f64 (pow.f64 x 2) -7/6)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (-.f64 (-.f64 -2 x) x) (*.f64 (pow.f64 x 2) -7/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (-.f64 -1 x) 1/2) (*.f64 (pow.f64 x 2) -7/24)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (-.f64 -2 x) x) (*.f64 (pow.f64 x 2) -7/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x)) 1)))))

simplify381.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

3042×	`rational.json-simplify-51`
1958×	`rational.json-simplify-35`
1816×	`rational.json-simplify-49`
1494×	`rational.json-simplify-48`
1422×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	89	1110
1	196	998
2	492	998
3	1531	998
4	3060	998
5	3802	998
6	4023	998
7	4308	998
8	4595	998
9	4834	998
10	5048	998
11	5140	998
12	5341	998
13	5423	998
14	5505	998
15	5587	998
16	5760	998
17	5877	998
18	5918	998
19	7127	998

Stop Event

1×	node limit

Counts

48 → 47

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (.f64 -7/12 (pow.f64 x 2)) (.f64 -1 x)) 1)
(-.f64 (+.f64 (.f64 -7/12 (pow.f64 x 2)) (.f64 -1 x)) 1)
(*.f64 -7/12 (pow.f64 x 2))
(+.f64 (.f64 -7/12 (pow.f64 x 2)) (.f64 -1 x))
(-.f64 (+.f64 (.f64 -7/12 (pow.f64 x 2)) (.f64 -1 x)) 1)
(-.f64 (+.f64 (.f64 -7/12 (pow.f64 x 2)) (.f64 -1 x)) 1)
(*.f64 -7/12 (pow.f64 x 2))
(+.f64 (.f64 -7/12 (pow.f64 x 2)) (.f64 -1 x))
(-.f64 (+.f64 (.f64 -7/12 (pow.f64 x 2)) (.f64 -1 x)) 1)
(-.f64 (+.f64 (.f64 -7/12 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (*.f64 -7/12 (pow.f64 x 2)) 0)
(+.f64 0 (*.f64 -7/12 (pow.f64 x 2)))
(+.f64 (.f64 (pow.f64 x 2) -7/24) (.f64 (pow.f64 x 2) -7/24))
(-.f64 (*.f64 -7/12 (pow.f64 x 2)) 0)
(/.f64 (*.f64 -7/12 (pow.f64 x 2)) 1)
(/.f64 (*.f64 (pow.f64 x 2) -7/6) 2)
(/.f64 (*.f64 (pow.f64 x 2) -7/3) 4)
(/.f64 (*.f64 (pow.f64 x 2) -14/3) 8)
(/.f64 (.f64 2 (.f64 (pow.f64 x 2) -14/3)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 2) -14/3))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) -14/3)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 2) -14/3))))) 128)
(pow.f64 (*.f64 -7/12 (pow.f64 x 2)) 1)
(-.f64 (+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x)) 0)
(-.f64 (+.f64 (*.f64 -7/12 (pow.f64 x 2)) (neg.f64 x)) 1)
(.f64 2 (+.f64 (.f64 (-.f64 -1 x) 1/2) (*.f64 (pow.f64 x 2) -7/24)))
(.f64 (+.f64 (.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x)) 1)
(.f64 1 (+.f64 (.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x)))
(.f64 (+.f64 (-.f64 (-.f64 -2 x) x) (.f64 (pow.f64 x 2) -7/6)) 1/2)
(.f64 4 (.f64 (+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x)) 1/4))
(.f64 (.f64 (+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x)) 4) 1/4)
(.f64 1/2 (+.f64 (-.f64 (-.f64 -2 x) x) (.f64 (pow.f64 x 2) -7/6)))
(.f64 (.f64 (+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x)) 8) 1/8)
(.f64 (+.f64 (.f64 (-.f64 -1 x) 1/2) (*.f64 (pow.f64 x 2) -7/24)) 2)
(.f64 1/4 (.f64 (+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x)) 4))
(.f64 (.f64 (+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x)) 1/4) 4)
(.f64 1/8 (.f64 (+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x)) 8))
(/.f64 (+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x)) 1)
(/.f64 (+.f64 (-.f64 (-.f64 -2 x) x) (*.f64 (pow.f64 x 2) -7/6)) 2)
(/.f64 (.f64 (+.f64 (.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x)) 4) 4)
(/.f64 (.f64 (+.f64 (.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x)) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x)) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x)) 8))))) 128)
(pow.f64 (+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x)) 1)

Outputs
-1
(-.f64 (*.f64 -1 x) 1)
(+.f64 (neg.f64 x) -1)
(-.f64 -1 x)
(-.f64 (+.f64 (.f64 -7/12 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (neg.f64 x) (-.f64 (*.f64 -7/12 (pow.f64 x 2)) 1))
(+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x))
(-.f64 (+.f64 (.f64 -7/12 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (neg.f64 x) (-.f64 (*.f64 -7/12 (pow.f64 x 2)) 1))
(+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x))
(*.f64 -7/12 (pow.f64 x 2))
(+.f64 (.f64 -7/12 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (neg.f64 x) (*.f64 -7/12 (pow.f64 x 2)))
(-.f64 (+.f64 (.f64 -7/12 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (neg.f64 x) (-.f64 (*.f64 -7/12 (pow.f64 x 2)) 1))
(+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x))
(-.f64 (+.f64 (.f64 -7/12 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (neg.f64 x) (-.f64 (*.f64 -7/12 (pow.f64 x 2)) 1))
(+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x))
(*.f64 -7/12 (pow.f64 x 2))
(+.f64 (.f64 -7/12 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (neg.f64 x) (*.f64 -7/12 (pow.f64 x 2)))
(-.f64 (+.f64 (.f64 -7/12 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (neg.f64 x) (-.f64 (*.f64 -7/12 (pow.f64 x 2)) 1))
(+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x))
(-.f64 (+.f64 (.f64 -7/12 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (neg.f64 x) (-.f64 (*.f64 -7/12 (pow.f64 x 2)) 1))
(+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x))
(+.f64 (*.f64 -7/12 (pow.f64 x 2)) 0)
(*.f64 -7/12 (pow.f64 x 2))
(+.f64 0 (*.f64 -7/12 (pow.f64 x 2)))
(*.f64 -7/12 (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 x 2) -7/24) (.f64 (pow.f64 x 2) -7/24))
(*.f64 -7/12 (pow.f64 x 2))
(-.f64 (*.f64 -7/12 (pow.f64 x 2)) 0)
(*.f64 -7/12 (pow.f64 x 2))
(/.f64 (*.f64 -7/12 (pow.f64 x 2)) 1)
(*.f64 -7/12 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) -7/6) 2)
(*.f64 -7/12 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) -7/3) 4)
(*.f64 -7/12 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) -14/3) 8)
(*.f64 -7/12 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 (pow.f64 x 2) -14/3)) 16)
(*.f64 -7/12 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 2) -14/3))) 32)
(*.f64 -7/12 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) -14/3)))) 64)
(*.f64 -7/12 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 2) -14/3))))) 128)
(*.f64 -7/12 (pow.f64 x 2))
(pow.f64 (*.f64 -7/12 (pow.f64 x 2)) 1)
(*.f64 -7/12 (pow.f64 x 2))
(-.f64 (+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x)) 0)
(+.f64 (neg.f64 x) (-.f64 (*.f64 -7/12 (pow.f64 x 2)) 1))
(+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x))
(-.f64 (+.f64 (*.f64 -7/12 (pow.f64 x 2)) (neg.f64 x)) 1)
(+.f64 (neg.f64 x) (-.f64 (*.f64 -7/12 (pow.f64 x 2)) 1))
(+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x))
(.f64 2 (+.f64 (.f64 (-.f64 -1 x) 1/2) (*.f64 (pow.f64 x 2) -7/24)))
(.f64 2 (+.f64 (.f64 (pow.f64 x 2) -7/24) (*.f64 (-.f64 -1 x) 1/2)))
(.f64 (+.f64 (.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x)) 1)
(+.f64 (neg.f64 x) (-.f64 (*.f64 -7/12 (pow.f64 x 2)) 1))
(+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x))
(.f64 1 (+.f64 (.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x)))
(+.f64 (neg.f64 x) (-.f64 (*.f64 -7/12 (pow.f64 x 2)) 1))
(+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x))
(.f64 (+.f64 (-.f64 (-.f64 -2 x) x) (.f64 (pow.f64 x 2) -7/6)) 1/2)
(+.f64 (neg.f64 x) (-.f64 (*.f64 -7/12 (pow.f64 x 2)) 1))
(+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x))
(.f64 4 (.f64 (+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x)) 1/4))
(+.f64 (neg.f64 x) (-.f64 (*.f64 -7/12 (pow.f64 x 2)) 1))
(+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x))
(.f64 (.f64 (+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x)) 4) 1/4)
(+.f64 (neg.f64 x) (-.f64 (*.f64 -7/12 (pow.f64 x 2)) 1))
(+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x))
(.f64 1/2 (+.f64 (-.f64 (-.f64 -2 x) x) (.f64 (pow.f64 x 2) -7/6)))
(+.f64 (neg.f64 x) (-.f64 (*.f64 -7/12 (pow.f64 x 2)) 1))
(+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x))
(.f64 (.f64 (+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x)) 8) 1/8)
(+.f64 (neg.f64 x) (-.f64 (*.f64 -7/12 (pow.f64 x 2)) 1))
(+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x))
(.f64 (+.f64 (.f64 (-.f64 -1 x) 1/2) (*.f64 (pow.f64 x 2) -7/24)) 2)
(.f64 2 (+.f64 (.f64 (pow.f64 x 2) -7/24) (*.f64 (-.f64 -1 x) 1/2)))
(.f64 1/4 (.f64 (+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x)) 4))
(+.f64 (neg.f64 x) (-.f64 (*.f64 -7/12 (pow.f64 x 2)) 1))
(+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x))
(.f64 (.f64 (+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x)) 1/4) 4)
(+.f64 (neg.f64 x) (-.f64 (*.f64 -7/12 (pow.f64 x 2)) 1))
(+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x))
(.f64 1/8 (.f64 (+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x)) 8))
(+.f64 (neg.f64 x) (-.f64 (*.f64 -7/12 (pow.f64 x 2)) 1))
(+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x))
(/.f64 (+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x)) 1)
(+.f64 (neg.f64 x) (-.f64 (*.f64 -7/12 (pow.f64 x 2)) 1))
(+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x))
(/.f64 (+.f64 (-.f64 (-.f64 -2 x) x) (*.f64 (pow.f64 x 2) -7/6)) 2)
(+.f64 (neg.f64 x) (-.f64 (*.f64 -7/12 (pow.f64 x 2)) 1))
(+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x))
(/.f64 (.f64 (+.f64 (.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x)) 4) 4)
(+.f64 (neg.f64 x) (-.f64 (*.f64 -7/12 (pow.f64 x 2)) 1))
(+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x))
(/.f64 (.f64 (+.f64 (.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x)) 8) 8)
(+.f64 (neg.f64 x) (-.f64 (*.f64 -7/12 (pow.f64 x 2)) 1))
(+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x))
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x)) 8)) 16)
(+.f64 (neg.f64 x) (-.f64 (*.f64 -7/12 (pow.f64 x 2)) 1))
(+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x)) 8))) 32)
(+.f64 (neg.f64 x) (-.f64 (*.f64 -7/12 (pow.f64 x 2)) 1))
(+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x)) 8)))) 64)
(+.f64 (neg.f64 x) (-.f64 (*.f64 -7/12 (pow.f64 x 2)) 1))
(+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x)) 8))))) 128)
(+.f64 (neg.f64 x) (-.f64 (*.f64 -7/12 (pow.f64 x 2)) 1))
(+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x))
(pow.f64 (+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x)) 1)
(+.f64 (neg.f64 x) (-.f64 (*.f64 -7/12 (pow.f64 x 2)) 1))
(+.f64 (*.f64 -7/12 (pow.f64 x 2)) (-.f64 -1 x))

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (/.f64 1 x) (+.f64 (*.f64 x -1/12) 1/2))
✓	0.1b	(.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2)) (neg.f64 x))
	0.3b	(*.f64 x -1/12)

Compiler

Compiled 39 to 28 computations (28.2% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

(*.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 x -1/12) 1/2)) (neg.f64 x))

0.0ms

inf

(*.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 x -1/12) 1/2)) (neg.f64 x))

0.0ms

-inf

(*.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 x -1/12) 1/2)) (neg.f64 x))

rewrite85.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1346×	`rational.json-1`
1346×	`rational.json-2`
1346×	`rational.json-3`
1344×	`rational.json-4`
1332×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	35
1	102	35
2	223	35
3	463	35
4	1107	35
5	3200	35
6	6422	35

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

Inputs
(.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2)) (neg.f64 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 x -1/12) 1/2)) (neg.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 x -1/12) 1/2)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 x (+.f64 (/.f64 1 x) (+.f64 (*.f64 x -1/12) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 x -1/12) 1/2)) -1/2)) (*.f64 x (*.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 x -1/12) 1/2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 x -1/12) 1/2)) (neg.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 x (+.f64 (/.f64 1 x) (+.f64 (*.f64 x -1/12) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 x -1/12) 1/2)) (neg.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 x -1/12) 1/2)) (*.f64 x -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 x -1/12) 1/2)) (*.f64 x -4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (/.f64 1 x) (+.f64 (*.f64 x -1/12) 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 x -1/12) 1/2)) (*.f64 x -4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 x -1/12) 1/2)) (*.f64 x -4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 x -1/12) 1/2)) (*.f64 x -4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 x -1/12) 1/2)) (neg.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (+.f64 (/.f64 1 x) (+.f64 (*.f64 x -1/12) 1/2))))))))

simplify190.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1568×	`rational.json-simplify-35`
1394×	`rational.json-simplify-2`
1224×	`rational.json-simplify-1`
898×	`rational.json-simplify-41`
690×	`rational.json-simplify-48`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	801
1	132	801
2	263	801
3	583	801
4	1674	801
5	3246	801
6	4550	801
7	4887	801
8	5319	801
9	6425	801
10	7682	801

Stop Event

1×	node limit

Counts

27 → 29

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 -1/2 x) 1)
(-.f64 (+.f64 (.f64 -1/2 x) (.f64 1/12 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (.f64 -1/2 x) (.f64 1/12 (pow.f64 x 2))) 1)
(*.f64 1/12 (pow.f64 x 2))
(+.f64 (.f64 -1/2 x) (.f64 1/12 (pow.f64 x 2)))
(-.f64 (+.f64 (.f64 -1/2 x) (.f64 1/12 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (.f64 -1/2 x) (.f64 1/12 (pow.f64 x 2))) 1)
(*.f64 1/12 (pow.f64 x 2))
(+.f64 (.f64 -1/2 x) (.f64 1/12 (pow.f64 x 2)))
(-.f64 (+.f64 (.f64 -1/2 x) (.f64 1/12 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (.f64 -1/2 x) (.f64 1/12 (pow.f64 x 2))) 1)
(+.f64 (.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2)) (neg.f64 x)) 0)
(+.f64 0 (.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2)) (neg.f64 x)))
(+.f64 -1 (-.f64 1 (.f64 x (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2)))))
(+.f64 (.f64 x (.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2)) -1/2)) (.f64 x (.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2)) -1/2)))
(-.f64 (.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2)) (neg.f64 x)) 0)
(-.f64 0 (.f64 x (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2))))
(/.f64 (.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2)) (neg.f64 x)) 1)
(/.f64 (.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2)) (*.f64 x -2)) 2)
(/.f64 (.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2)) (*.f64 x -4)) 4)
(/.f64 (.f64 x (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2))) -1)
(/.f64 (.f64 2 (.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2)) (.f64 x -4))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2)) (*.f64 x -4)))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2)) (.f64 x -4))))) 32)
(pow.f64 (.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2)) (neg.f64 x)) 1)
(neg.f64 (.f64 x (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2))))

Outputs
-1
(-.f64 (*.f64 -1/2 x) 1)
(+.f64 (*.f64 -1/2 x) -1)
(+.f64 -1 (*.f64 -1/2 x))
(-.f64 -1 (/.f64 x 2))
(-.f64 (+.f64 (.f64 -1/2 x) (.f64 1/12 (pow.f64 x 2))) 1)
(+.f64 (.f64 1/12 (pow.f64 x 2)) (+.f64 (.f64 -1/2 x) -1))
(+.f64 -1 (+.f64 (.f64 -1/2 x) (.f64 1/12 (pow.f64 x 2))))
(+.f64 (+.f64 -1 (.f64 -1/2 x)) (.f64 1/12 (pow.f64 x 2)))
(+.f64 (.f64 -1/2 x) (+.f64 -1 (.f64 1/12 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1/2 x) (.f64 1/12 (pow.f64 x 2))) 1)
(+.f64 (.f64 1/12 (pow.f64 x 2)) (+.f64 (.f64 -1/2 x) -1))
(+.f64 -1 (+.f64 (.f64 -1/2 x) (.f64 1/12 (pow.f64 x 2))))
(+.f64 (+.f64 -1 (.f64 -1/2 x)) (.f64 1/12 (pow.f64 x 2)))
(+.f64 (.f64 -1/2 x) (+.f64 -1 (.f64 1/12 (pow.f64 x 2))))
(*.f64 1/12 (pow.f64 x 2))
(+.f64 (.f64 -1/2 x) (.f64 1/12 (pow.f64 x 2)))
(-.f64 (+.f64 (.f64 -1/2 x) (.f64 1/12 (pow.f64 x 2))) 1)
(+.f64 (.f64 1/12 (pow.f64 x 2)) (+.f64 (.f64 -1/2 x) -1))
(+.f64 -1 (+.f64 (.f64 -1/2 x) (.f64 1/12 (pow.f64 x 2))))
(+.f64 (+.f64 -1 (.f64 -1/2 x)) (.f64 1/12 (pow.f64 x 2)))
(+.f64 (.f64 -1/2 x) (+.f64 -1 (.f64 1/12 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1/2 x) (.f64 1/12 (pow.f64 x 2))) 1)
(+.f64 (.f64 1/12 (pow.f64 x 2)) (+.f64 (.f64 -1/2 x) -1))
(+.f64 -1 (+.f64 (.f64 -1/2 x) (.f64 1/12 (pow.f64 x 2))))
(+.f64 (+.f64 -1 (.f64 -1/2 x)) (.f64 1/12 (pow.f64 x 2)))
(+.f64 (.f64 -1/2 x) (+.f64 -1 (.f64 1/12 (pow.f64 x 2))))
(*.f64 1/12 (pow.f64 x 2))
(+.f64 (.f64 -1/2 x) (.f64 1/12 (pow.f64 x 2)))
(-.f64 (+.f64 (.f64 -1/2 x) (.f64 1/12 (pow.f64 x 2))) 1)
(+.f64 (.f64 1/12 (pow.f64 x 2)) (+.f64 (.f64 -1/2 x) -1))
(+.f64 -1 (+.f64 (.f64 -1/2 x) (.f64 1/12 (pow.f64 x 2))))
(+.f64 (+.f64 -1 (.f64 -1/2 x)) (.f64 1/12 (pow.f64 x 2)))
(+.f64 (.f64 -1/2 x) (+.f64 -1 (.f64 1/12 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1/2 x) (.f64 1/12 (pow.f64 x 2))) 1)
(+.f64 (.f64 1/12 (pow.f64 x 2)) (+.f64 (.f64 -1/2 x) -1))
(+.f64 -1 (+.f64 (.f64 -1/2 x) (.f64 1/12 (pow.f64 x 2))))
(+.f64 (+.f64 -1 (.f64 -1/2 x)) (.f64 1/12 (pow.f64 x 2)))
(+.f64 (.f64 -1/2 x) (+.f64 -1 (.f64 1/12 (pow.f64 x 2))))
(+.f64 (.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2)) (neg.f64 x)) 0)
(.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2)) (neg.f64 x))
(.f64 x (neg.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2))))
(+.f64 0 (.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2)) (neg.f64 x)))
(.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2)) (neg.f64 x))
(.f64 x (neg.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2))))
(+.f64 -1 (-.f64 1 (.f64 x (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2)))))
(.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2)) (neg.f64 x))
(.f64 x (neg.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2))))
(+.f64 (.f64 x (.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2)) -1/2)) (.f64 x (.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2)) -1/2)))
(.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2)) (neg.f64 x))
(.f64 x (neg.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2))))
(-.f64 (.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2)) (neg.f64 x)) 0)
(.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2)) (neg.f64 x))
(.f64 x (neg.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2))))
(-.f64 0 (.f64 x (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2))))
(.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2)) (neg.f64 x))
(.f64 x (neg.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2))))
(/.f64 (.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2)) (neg.f64 x)) 1)
(.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2)) (neg.f64 x))
(.f64 x (neg.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2))))
(/.f64 (.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2)) (*.f64 x -2)) 2)
(.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2)) (neg.f64 x))
(.f64 x (neg.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2))))
(/.f64 (.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2)) (*.f64 x -4)) 4)
(.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2)) (neg.f64 x))
(.f64 x (neg.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2))))
(/.f64 (.f64 x (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2))) -1)
(.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2)) (neg.f64 x))
(.f64 x (neg.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2))))
(/.f64 (.f64 2 (.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2)) (.f64 x -4))) 8)
(.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2)) (neg.f64 x))
(.f64 x (neg.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2))))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2)) (*.f64 x -4)))) 16)
(.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2)) (neg.f64 x))
(.f64 x (neg.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2)) (.f64 x -4))))) 32)
(.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2)) (neg.f64 x))
(.f64 x (neg.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2))))
(pow.f64 (.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2)) (neg.f64 x)) 1)
(.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2)) (neg.f64 x))
(.f64 x (neg.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2))))
(neg.f64 (.f64 x (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2))))
(.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2)) (neg.f64 x))
(.f64 x (neg.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2))))

localize11.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 x 2)
✓	0.0b	(-.f64 1 (*.f64 (pow.f64 x 2) 1/2))
	0.0b	(*.f64 (pow.f64 x 2) 1/2)
✓	2.2b	(+.f64 -1 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)))

Compiler

Compiled 30 to 25 computations (16.7% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+.f64 -1 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)))
0.0ms	x	@	0	(+.f64 -1 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)))
0.0ms	x	@	inf	(-.f64 1 (*.f64 (pow.f64 x 2) 1/2))
0.0ms	x	@	0	(-.f64 1 (*.f64 (pow.f64 x 2) 1/2))
0.0ms	x	@	-inf	(+.f64 -1 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)))

rewrite143.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1508×	`rational.json-1`
1508×	`rational.json-2`
1224×	`exponential.json-3`
1224×	`rational.json-4`
1224×	`rational.json-3`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	80	44
2	157	38
3	283	36
4	503	36
5	1108	32
6	2878	32
7	4967	32
8	6036	32
9	7835	32

Stop Event

1×	node limit

Counts

2 → 111

Calls

Call 1

Inputs
(+.f64 -1 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)))
(-.f64 1 (*.f64 (pow.f64 x 2) 1/2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (-.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -2) -1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/2) -2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 x 2) -1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (pow.f64 x 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (*.f64 1/2 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2))) (+.f64 (*.f64 1/2 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -2 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x 2) -4) (*.f64 (pow.f64 x 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -3 (+.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/2 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2))) -1) (*.f64 1/2 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 (pow.f64 x 2) 1/8) -3) (*.f64 (pow.f64 x 2) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2)) -3/4) 1) (/.f64 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) 1/4) -1) (*.f64 1/2 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2)))) (/.f64 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (pow.f64 x 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (pow.f64 x 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (pow.f64 x 2) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (-.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 x 2)) 16) (/.f64 (pow.f64 x 2) 16)) (*.f64 (pow.f64 x 2) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (neg.f64 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 2) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 2) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 x 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (pow.f64 x 2) -8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (/.f64 (neg.f64 (pow.f64 x 2)) 16) (/.f64 (pow.f64 x 2) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) -8)) (/.f64 (pow.f64 x 2) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (*.f64 1/2 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) -2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 4) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (pow.f64 x 2)) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 8) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8)) -32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 8 (neg.f64 (pow.f64 x 2))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 8 (neg.f64 (pow.f64 x 2)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8))) -64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (pow.f64 x 2) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (pow.f64 x 2) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 8 (neg.f64 (pow.f64 x 2))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 x 2) 4) -2) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 (pow.f64 x 2) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 8 (neg.f64 (pow.f64 x 2)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (pow.f64 x 2) 4) -2)) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 (pow.f64 x 2) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 2) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 x 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -2) -2))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (neg.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 1 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2))) (*.f64 1/2 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 1/2 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2))) -1) (-.f64 1 (*.f64 1/2 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 1 (+.f64 -1 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (+.f64 -1 (pow.f64 x 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (-.f64 1 (+.f64 -1 (pow.f64 x 2)))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 1/2 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (+.f64 -1 (pow.f64 x 2))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (-.f64 1 (+.f64 -1 (pow.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (+.f64 -1 (+.f64 -1 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (+.f64 -1 (pow.f64 x 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 1 (+.f64 -1 (pow.f64 x 2)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (+.f64 -1 (pow.f64 x 2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 -1 (+.f64 -1 (pow.f64 x 2)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (+.f64 -1 (+.f64 -1 (pow.f64 x 2))))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (+.f64 -1 (+.f64 -1 (pow.f64 x 2)))))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2)))))))

simplify164.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1388×	`rational.json-simplify-35`
1354×	`rational.json-simplify-52`
1222×	`rational.json-simplify-2`
1202×	`rational.json-simplify-1`
850×	`rational.json-simplify-43`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	210	2163
1	469	2163
2	1019	2163
3	2829	2151
4	4615	2145
5	6322	2145
6	7106	2127
7	7942	2127

Stop Event

1×	node limit

Counts

135 → 122

Calls

Call 1

Inputs
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(-.f64 -1 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2)))
(-.f64 -1 (-.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -2) -1) -2))
(-.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2)))
(-.f64 1 (+.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/2) -2) -1))
(-.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) 1)
(-.f64 (*.f64 (pow.f64 x 2) -1/2) 0)
(-.f64 0 (*.f64 (pow.f64 x 2) 1/2))
(-.f64 0 (-.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -2) -2))
(-.f64 0 (-.f64 (.f64 1/2 (+.f64 -1 (.f64 (pow.f64 x 2) 1/2))) (+.f64 (.f64 1/2 (-.f64 1 (.f64 (pow.f64 x 2) 1/2))) -1)))
(-.f64 -2 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -2))
(-.f64 (/.f64 (pow.f64 x 2) -4) (*.f64 (pow.f64 x 2) 1/4))
(-.f64 -3 (+.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -2) -1))
(-.f64 (+.f64 (.f64 1/2 (-.f64 1 (.f64 (pow.f64 x 2) 1/2))) -1) (.f64 1/2 (+.f64 -1 (.f64 (pow.f64 x 2) 1/2))))
(-.f64 (.f64 (.f64 (pow.f64 x 2) 1/8) -3) (*.f64 (pow.f64 x 2) 1/8))
(-.f64 (-.f64 (.f64 (+.f64 -1 (.f64 (pow.f64 x 2) 1/2)) -3/4) 1) (/.f64 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2)) 4))
(-.f64 (-.f64 (+.f64 (.f64 (-.f64 1 (.f64 (pow.f64 x 2) 1/2)) 1/4) -1) (.f64 1/2 (+.f64 -1 (.f64 (pow.f64 x 2) 1/2)))) (/.f64 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2)) 4))
(.f64 -1 (.f64 (pow.f64 x 2) 1/2))
(.f64 1 (.f64 (pow.f64 x 2) -1/2))
(*.f64 2 (/.f64 (pow.f64 x 2) -4))
(.f64 2 (-.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 x 2)) 16) (/.f64 (pow.f64 x 2) 16)) (.f64 (pow.f64 x 2) 1/8)))
(*.f64 (pow.f64 x 2) -1/2)
(*.f64 1/2 (neg.f64 (pow.f64 x 2)))
(.f64 (.f64 (pow.f64 x 2) 1/2) -1)
(.f64 (.f64 (pow.f64 x 2) -1/2) 1)
(*.f64 (neg.f64 (pow.f64 x 2)) 1/2)
(*.f64 4 (/.f64 (pow.f64 x 2) -8))
(*.f64 4 (-.f64 (/.f64 (neg.f64 (pow.f64 x 2)) 16) (/.f64 (pow.f64 x 2) 16)))
(.f64 4 (-.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) -8)) (/.f64 (pow.f64 x 2) 16)))
(.f64 4 (-.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) -8)) (*.f64 (pow.f64 x 2) 1/16)))
(.f64 4 (-.f64 (/.f64 (neg.f64 (pow.f64 x 2)) 16) (.f64 1/2 (*.f64 (pow.f64 x 2) 1/8))))
(.f64 4 (-.f64 (/.f64 (neg.f64 (pow.f64 x 2)) 16) (.f64 (pow.f64 x 2) 1/16)))
(.f64 (.f64 2 (pow.f64 x 2)) -1/4)
(.f64 (.f64 (pow.f64 x 2) -2) 1/4)
(.f64 -2 (.f64 (pow.f64 x 2) 1/4))
(.f64 (.f64 (neg.f64 (pow.f64 x 2)) 4) 1/8)
(.f64 1/4 (.f64 (pow.f64 x 2) -2))
(.f64 (.f64 (pow.f64 x 2) 1/4) -2)
(*.f64 (/.f64 (pow.f64 x 2) -4) 2)
(.f64 1/8 (.f64 (neg.f64 (pow.f64 x 2)) 4))
(.f64 1/8 (neg.f64 (.f64 (pow.f64 x 2) 4)))
(*.f64 (/.f64 (pow.f64 x 2) -8) 4)
(.f64 (.f64 (pow.f64 x 2) 1/8) -4)
(.f64 -4 (.f64 (pow.f64 x 2) 1/8))
(.f64 1/16 (.f64 8 (neg.f64 (pow.f64 x 2))))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 (neg.f64 (.f64 (pow.f64 x 2) 4)) 1/8)
(.f64 -1/4 (.f64 2 (pow.f64 x 2)))
(/.f64 (pow.f64 x 2) -2)
(/.f64 (*.f64 (pow.f64 x 2) 1/2) -1)
(/.f64 (*.f64 (pow.f64 x 2) -1/2) 1)
(/.f64 (neg.f64 (pow.f64 x 2)) 2)
(/.f64 (*.f64 2 (pow.f64 x 2)) -4)
(/.f64 (*.f64 (pow.f64 x 2) -2) 4)
(/.f64 (*.f64 (pow.f64 x 2) 4) -8)
(/.f64 (*.f64 (neg.f64 (pow.f64 x 2)) 4) 8)
(/.f64 (*.f64 (pow.f64 x 2) 8) -16)
(/.f64 (.f64 2 (.f64 (pow.f64 x 2) 8)) -32)
(/.f64 (*.f64 8 (neg.f64 (pow.f64 x 2))) 16)
(/.f64 (.f64 2 (.f64 8 (neg.f64 (pow.f64 x 2)))) 32)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 2) 8))) -64)
(/.f64 (neg.f64 (*.f64 (pow.f64 x 2) 4)) 8)
(/.f64 (neg.f64 (*.f64 (pow.f64 x 2) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 8 (neg.f64 (pow.f64 x 2))))) 64)
(/.f64 (.f64 (.f64 (pow.f64 x 2) 4) -2) 16)
(/.f64 (.f64 2 (neg.f64 (.f64 (pow.f64 x 2) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 8 (neg.f64 (pow.f64 x 2)))))) 128)
(/.f64 (.f64 2 (.f64 (*.f64 (pow.f64 x 2) 4) -2)) 32)
(/.f64 (.f64 2 (.f64 2 (neg.f64 (*.f64 (pow.f64 x 2) 8)))) 64)
(pow.f64 (*.f64 (pow.f64 x 2) -1/2) 1)
(neg.f64 (*.f64 (pow.f64 x 2) 1/2))
(neg.f64 (-.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -2) -2))
(+.f64 -1 (neg.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -2)))
(+.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) 0)
(+.f64 0 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)))
(+.f64 -2 (-.f64 1 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -2)))
(+.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -2)) -1)
(+.f64 (.f64 1/2 (-.f64 1 (.f64 (pow.f64 x 2) 1/2))) (.f64 1/2 (-.f64 1 (.f64 (pow.f64 x 2) 1/2))))
(+.f64 (+.f64 (.f64 1/2 (-.f64 1 (.f64 (pow.f64 x 2) 1/2))) -1) (-.f64 1 (.f64 1/2 (+.f64 -1 (.f64 (pow.f64 x 2) 1/2)))))
(.f64 -1 (+.f64 -1 (.f64 (pow.f64 x 2) 1/2)))
(.f64 1 (-.f64 1 (.f64 (pow.f64 x 2) 1/2)))
(.f64 2 (.f64 1/2 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2))))
(*.f64 1/2 (-.f64 1 (+.f64 -1 (pow.f64 x 2))))
(.f64 (-.f64 1 (.f64 (pow.f64 x 2) 1/2)) 1)
(.f64 4 (.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) 1/4))
(*.f64 (-.f64 1 (+.f64 -1 (pow.f64 x 2))) 1/2)
(.f64 (+.f64 -1 (.f64 (pow.f64 x 2) 1/2)) -1)
(.f64 (.f64 2 (-.f64 1 (+.f64 -1 (pow.f64 x 2)))) 1/4)
(.f64 -2 (.f64 1/2 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2))))
(*.f64 (+.f64 -1 (+.f64 -1 (pow.f64 x 2))) -1/2)
(.f64 (.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) 8) 1/8)
(.f64 1/4 (.f64 2 (-.f64 1 (+.f64 -1 (pow.f64 x 2)))))
(.f64 (.f64 1/2 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2))) 2)
(.f64 (.f64 1/2 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2))) -2)
(.f64 1/8 (.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) 8))
(.f64 (.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) 1/4) 4)
(*.f64 -1/2 (+.f64 -1 (+.f64 -1 (pow.f64 x 2))))
(/.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) 1)
(/.f64 (-.f64 1 (+.f64 -1 (pow.f64 x 2))) 2)
(/.f64 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2)) -1)
(/.f64 (*.f64 2 (-.f64 1 (+.f64 -1 (pow.f64 x 2)))) 4)
(/.f64 (+.f64 -1 (+.f64 -1 (pow.f64 x 2))) -2)
(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 x 2) 1/2)) 8) 8)
(/.f64 (*.f64 2 (+.f64 -1 (+.f64 -1 (pow.f64 x 2)))) -4)
(/.f64 (.f64 2 (.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (+.f64 -1 (+.f64 -1 (pow.f64 x 2))))) -8)
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 1 (.f64 (pow.f64 x 2) 1/2)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (*.f64 2 (+.f64 -1 (+.f64 -1 (pow.f64 x 2)))))) -16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 (.f64 (pow.f64 x 2) 1/2)) 8))))) 128)
(pow.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) 1)
(neg.f64 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2)))

Outputs
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(-.f64 -1 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2)))
(*.f64 -1/2 (pow.f64 x 2))
(-.f64 -1 (-.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -2) -1) -2))
(*.f64 -1/2 (pow.f64 x 2))
(-.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2)))
(*.f64 -1/2 (pow.f64 x 2))
(-.f64 1 (+.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/2) -2) -1))
(*.f64 -1/2 (pow.f64 x 2))
(-.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) 1)
(*.f64 -1/2 (pow.f64 x 2))
(-.f64 (*.f64 (pow.f64 x 2) -1/2) 0)
(*.f64 -1/2 (pow.f64 x 2))
(-.f64 0 (*.f64 (pow.f64 x 2) 1/2))
(*.f64 -1/2 (pow.f64 x 2))
(-.f64 0 (-.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -2) -2))
(*.f64 -1/2 (pow.f64 x 2))
(-.f64 0 (-.f64 (.f64 1/2 (+.f64 -1 (.f64 (pow.f64 x 2) 1/2))) (+.f64 (.f64 1/2 (-.f64 1 (.f64 (pow.f64 x 2) 1/2))) -1)))
(*.f64 -1/2 (pow.f64 x 2))
(-.f64 -2 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -2))
(*.f64 -1/2 (pow.f64 x 2))
(-.f64 (/.f64 (pow.f64 x 2) -4) (*.f64 (pow.f64 x 2) 1/4))
(*.f64 -1/2 (pow.f64 x 2))
(-.f64 -3 (+.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -2) -1))
(*.f64 -1/2 (pow.f64 x 2))
(-.f64 (+.f64 (.f64 1/2 (-.f64 1 (.f64 (pow.f64 x 2) 1/2))) -1) (.f64 1/2 (+.f64 -1 (.f64 (pow.f64 x 2) 1/2))))
(*.f64 -1/2 (pow.f64 x 2))
(-.f64 (.f64 (.f64 (pow.f64 x 2) 1/8) -3) (*.f64 (pow.f64 x 2) 1/8))
(*.f64 -1/2 (pow.f64 x 2))
(-.f64 (-.f64 (.f64 (+.f64 -1 (.f64 (pow.f64 x 2) 1/2)) -3/4) 1) (/.f64 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2)) 4))
(-.f64 (-.f64 (.f64 (+.f64 -1 (.f64 (pow.f64 x 2) 1/2)) -3/4) (/.f64 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2)) 4)) 1)
(+.f64 -1 (-.f64 (.f64 (+.f64 -1 (.f64 (pow.f64 x 2) 1/2)) -3/4) (/.f64 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2)) 4)))
(+.f64 -1 (-.f64 (.f64 (+.f64 -1 (.f64 (pow.f64 x 2) 1/2)) -3/4) (/.f64 (+.f64 (pow.f64 x 2) -2) 8)))
(-.f64 (-.f64 (+.f64 (.f64 (-.f64 1 (.f64 (pow.f64 x 2) 1/2)) 1/4) -1) (.f64 1/2 (+.f64 -1 (.f64 (pow.f64 x 2) 1/2)))) (/.f64 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2)) 4))
(-.f64 (+.f64 -1 (-.f64 (.f64 (-.f64 1 (.f64 (pow.f64 x 2) 1/2)) 1/4) (.f64 1/2 (+.f64 -1 (.f64 (pow.f64 x 2) 1/2))))) (/.f64 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2)) 4))
(+.f64 (-.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) 1/4) (.f64 1/2 (+.f64 -1 (.f64 (pow.f64 x 2) 1/2)))) (-.f64 -1 (/.f64 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2)) 4)))
(+.f64 (-.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) 1/4) (/.f64 (+.f64 -1 (.f64 (pow.f64 x 2) 1/2)) 4)) (-.f64 -1 (.f64 1/2 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2)))))
(+.f64 (-.f64 (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) 1/4) (/.f64 (+.f64 (pow.f64 x 2) -2) 8)) (-.f64 -1 (.f64 1/2 (+.f64 -1 (.f64 (pow.f64 x 2) 1/2)))))
(+.f64 (-.f64 (.f64 1/8 (-.f64 2 (pow.f64 x 2))) (.f64 1/2 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2)))) (-.f64 -1 (/.f64 (+.f64 (pow.f64 x 2) -2) 8)))
(-.f64 (-.f64 -1 (.f64 1/2 (.f64 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2)) 3/2))) (/.f64 (+.f64 (pow.f64 x 2) -2) 8))
(.f64 -1 (.f64 (pow.f64 x 2) 1/2))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 1 (.f64 (pow.f64 x 2) -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 2 (/.f64 (pow.f64 x 2) -4))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 2 (-.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 x 2)) 16) (/.f64 (pow.f64 x 2) 16)) (.f64 (pow.f64 x 2) 1/8)))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) -1/2)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 1/2 (neg.f64 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 (.f64 (pow.f64 x 2) 1/2) -1)
(*.f64 -1/2 (pow.f64 x 2))
(.f64 (.f64 (pow.f64 x 2) -1/2) 1)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 (neg.f64 (pow.f64 x 2)) 1/2)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 4 (/.f64 (pow.f64 x 2) -8))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 4 (-.f64 (/.f64 (neg.f64 (pow.f64 x 2)) 16) (/.f64 (pow.f64 x 2) 16)))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 4 (-.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) -8)) (/.f64 (pow.f64 x 2) 16)))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 4 (-.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) -8)) (*.f64 (pow.f64 x 2) 1/16)))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 4 (-.f64 (/.f64 (neg.f64 (pow.f64 x 2)) 16) (.f64 1/2 (*.f64 (pow.f64 x 2) 1/8))))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 4 (-.f64 (/.f64 (neg.f64 (pow.f64 x 2)) 16) (.f64 (pow.f64 x 2) 1/16)))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 (.f64 2 (pow.f64 x 2)) -1/4)
(*.f64 -1/2 (pow.f64 x 2))
(.f64 (.f64 (pow.f64 x 2) -2) 1/4)
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -2 (.f64 (pow.f64 x 2) 1/4))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 (.f64 (neg.f64 (pow.f64 x 2)) 4) 1/8)
(*.f64 -1/2 (pow.f64 x 2))
(.f64 1/4 (.f64 (pow.f64 x 2) -2))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 (.f64 (pow.f64 x 2) 1/4) -2)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 (/.f64 (pow.f64 x 2) -4) 2)
(*.f64 -1/2 (pow.f64 x 2))
(.f64 1/8 (.f64 (neg.f64 (pow.f64 x 2)) 4))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 1/8 (neg.f64 (.f64 (pow.f64 x 2) 4)))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 (/.f64 (pow.f64 x 2) -8) 4)
(*.f64 -1/2 (pow.f64 x 2))
(.f64 (.f64 (pow.f64 x 2) 1/8) -4)
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -4 (.f64 (pow.f64 x 2) 1/8))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 1/16 (.f64 8 (neg.f64 (pow.f64 x 2))))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 (neg.f64 (.f64 (pow.f64 x 2) 4)) 1/8)
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/4 (.f64 2 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (pow.f64 x 2) -2)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) 1/2) -1)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) -1/2) 1)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (neg.f64 (pow.f64 x 2)) 2)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 2 (pow.f64 x 2)) -4)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) -2) 4)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) 4) -8)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 (neg.f64 (pow.f64 x 2)) 4) 8)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) 8) -16)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 (pow.f64 x 2) 8)) -32)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 8 (neg.f64 (pow.f64 x 2))) 16)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 8 (neg.f64 (pow.f64 x 2)))) 32)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 2) 8))) -64)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (neg.f64 (*.f64 (pow.f64 x 2) 4)) 8)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (neg.f64 (*.f64 (pow.f64 x 2) 8)) 16)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 2 (*.f64 8 (neg.f64 (pow.f64 x 2))))) 64)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (.f64 (.f64 (pow.f64 x 2) 4) -2) 16)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (.f64 2 (neg.f64 (.f64 (pow.f64 x 2) 8))) 32)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 8 (neg.f64 (pow.f64 x 2)))))) 128)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 (*.f64 (pow.f64 x 2) 4) -2)) 32)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 2 (neg.f64 (*.f64 (pow.f64 x 2) 8)))) 64)
(*.f64 -1/2 (pow.f64 x 2))
(pow.f64 (*.f64 (pow.f64 x 2) -1/2) 1)
(*.f64 -1/2 (pow.f64 x 2))
(neg.f64 (*.f64 (pow.f64 x 2) 1/2))
(*.f64 -1/2 (pow.f64 x 2))
(neg.f64 (-.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -2) -2))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 -1 (neg.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -2)))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) 0)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 0 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 -2 (-.f64 1 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -2)))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -2)) -1)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/2 (-.f64 1 (.f64 (pow.f64 x 2) 1/2))) (.f64 1/2 (-.f64 1 (.f64 (pow.f64 x 2) 1/2))))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (+.f64 (.f64 1/2 (-.f64 1 (.f64 (pow.f64 x 2) 1/2))) -1) (-.f64 1 (.f64 1/2 (+.f64 -1 (.f64 (pow.f64 x 2) 1/2)))))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(.f64 -1 (+.f64 -1 (.f64 (pow.f64 x 2) 1/2)))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(.f64 1 (-.f64 1 (.f64 (pow.f64 x 2) 1/2)))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(.f64 2 (.f64 1/2 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2))))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 1/2 (-.f64 1 (+.f64 -1 (pow.f64 x 2))))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(.f64 (-.f64 1 (.f64 (pow.f64 x 2) 1/2)) 1)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(.f64 4 (.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) 1/4))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 (-.f64 1 (+.f64 -1 (pow.f64 x 2))) 1/2)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(.f64 (+.f64 -1 (.f64 (pow.f64 x 2) 1/2)) -1)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(.f64 (.f64 2 (-.f64 1 (+.f64 -1 (pow.f64 x 2)))) 1/4)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(.f64 -2 (.f64 1/2 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2))))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 (+.f64 -1 (+.f64 -1 (pow.f64 x 2))) -1/2)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(.f64 (.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) 8) 1/8)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(.f64 1/4 (.f64 2 (-.f64 1 (+.f64 -1 (pow.f64 x 2)))))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(.f64 (.f64 1/2 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2))) 2)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(.f64 (.f64 1/2 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2))) -2)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(.f64 1/8 (.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) 8))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(.f64 (.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) 1/4) 4)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (+.f64 -1 (+.f64 -1 (pow.f64 x 2))))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(/.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) 1)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(/.f64 (-.f64 1 (+.f64 -1 (pow.f64 x 2))) 2)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(/.f64 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2)) -1)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(/.f64 (*.f64 2 (-.f64 1 (+.f64 -1 (pow.f64 x 2)))) 4)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(/.f64 (+.f64 -1 (+.f64 -1 (pow.f64 x 2))) -2)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 x 2) 1/2)) 8) 8)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(/.f64 (*.f64 2 (+.f64 -1 (+.f64 -1 (pow.f64 x 2)))) -4)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(/.f64 (.f64 2 (.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) 8)) 16)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(/.f64 (.f64 2 (.f64 2 (+.f64 -1 (+.f64 -1 (pow.f64 x 2))))) -8)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 1 (.f64 (pow.f64 x 2) 1/2)) 8))) 32)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) 8)))) 64)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(/.f64 (.f64 2 (.f64 2 (*.f64 2 (+.f64 -1 (+.f64 -1 (pow.f64 x 2)))))) -16)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 (.f64 (pow.f64 x 2) 1/2)) 8))))) 128)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(pow.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) 1)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(neg.f64 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2)))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 x 2)
	0.0b	(*.f64 -1/2 (pow.f64 x 2))
✓	0.1b	(.f64 (+.f64 (/.f64 1 x) 1/2) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (neg.f64 x)))

Compiler

Compiled 46 to 33 computations (28.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

(*.f64 (+.f64 (/.f64 1 x) 1/2) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (neg.f64 x)))

0.0ms

inf

(*.f64 (+.f64 (/.f64 1 x) 1/2) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (neg.f64 x)))

0.0ms

-inf

(*.f64 (+.f64 (/.f64 1 x) 1/2) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (neg.f64 x)))

rewrite116.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1860×	`rational.json-1`
1152×	`rational.json-2`
1152×	`rational.json-3`
1144×	`rational.json-4`
1132×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	111	41
2	220	41
3	434	41
4	979	41
5	2734	41
6	5483	41
7	7922	41

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 (+.f64 (/.f64 1 x) 1/2) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (neg.f64 x)))

Outputs

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

simplify162.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

2468×	`rational.json-simplify-2`
1850×	`rational.json-simplify-35`
1254×	`rational.json-simplify-51`
1154×	`rational.json-simplify-1`
896×	`rational.json-simplify-53`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	52	765
1	127	707
2	234	689
3	463	689
4	1296	689
5	3444	689
6	4588	689
7	5058	689
8	5285	689
9	5456	689
10	5939	689

Stop Event

1×	node limit

Counts

23 → 30

Calls

Call 1

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

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

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (log.f64 (-.f64 1 x)) (+.f64 -1 (-.f64 1 (neg.f64 (log.f64 (+.f64 1 x))))))
	4.2b	(log.f64 (-.f64 1 x))
✓	4.2b	(+.f64 -1 (-.f64 1 (neg.f64 (log.f64 (+.f64 1 x)))))
	4.2b	(log.f64 (+.f64 1 x))

Compiler

Compiled 53 to 43 computations (18.9% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/.f64 (log.f64 (-.f64 1 x)) (+.f64 -1 (-.f64 1 (neg.f64 (log.f64 (+.f64 1 x))))))
0.0ms	x	@	inf	(/.f64 (log.f64 (-.f64 1 x)) (+.f64 -1 (-.f64 1 (neg.f64 (log.f64 (+.f64 1 x))))))
0.0ms	x	@	0	(+.f64 -1 (-.f64 1 (neg.f64 (log.f64 (+.f64 1 x)))))
0.0ms	x	@	-inf	(+.f64 -1 (-.f64 1 (neg.f64 (log.f64 (+.f64 1 x)))))
0.0ms	x	@	inf	(+.f64 -1 (-.f64 1 (neg.f64 (log.f64 (+.f64 1 x)))))

rewrite91.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1664×	`rational.json-1`
1664×	`rational.json-2`
1664×	`rational.json-3`
1634×	`rational.json-4`
1626×	`exponential.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	70
1	105	62
2	238	58
3	553	38
4	1374	38
5	4800	38

Stop Event

1×	node limit

Counts

2 → 100

Calls

Call 1

Inputs
(+.f64 -1 (-.f64 1 (neg.f64 (log.f64 (+.f64 1 x)))))
(/.f64 (log.f64 (-.f64 1 x)) (+.f64 -1 (-.f64 1 (neg.f64 (log.f64 (+.f64 1 x))))))

Outputs

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

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

simplify120.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1506×	`rational.json-simplify-35`
1160×	`rational.json-simplify-55`
1028×	`rational.json-simplify-2`
690×	`rational.json-simplify-39`
608×	`rational.json-simplify-59`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	339	6188
1	813	5986
2	2611	5804
3	5404	5788

Stop Event

1×	node limit

Counts

124 → 220

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) x)))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))) (/.f64 2 (.f64 (log.f64 (/.f64 1 x)) x))) (/.f64 (log.f64 -1) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (/.f64 (log.f64 -1) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)) (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2)))))))
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(.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
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(*.f64 -1 (neg.f64 (log.f64 (-.f64 x -1))))
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(*.f64 (neg.f64 (log.f64 (-.f64 x -1))) -1)
(*.f64 (log.f64 (-.f64 x -1)) 1)
(.f64 (.f64 (log.f64 (-.f64 x -1)) 2) 1/2)
(.f64 2 (.f64 (log.f64 (-.f64 x -1)) 1/2))
(.f64 2 (.f64 (*.f64 (log.f64 (-.f64 x -1)) -1/2) -1))
(.f64 (.f64 (log.f64 (-.f64 x -1)) 4) 1/4)
(.f64 -2 (.f64 (log.f64 (-.f64 x -1)) -1/2))
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(.f64 1/2 (.f64 (log.f64 (-.f64 x -1)) 2))
(.f64 1/2 (/.f64 (.f64 (log.f64 (-.f64 x -1)) -2) -1))
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(.f64 1/4 (.f64 (log.f64 (-.f64 x -1)) 4))
(.f64 -1/2 (.f64 (log.f64 (-.f64 x -1)) -2))
(.f64 (.f64 (log.f64 (-.f64 x -1)) -1/2) -2)
(/.f64 -1 (-.f64 0 (/.f64 1 (log.f64 (-.f64 x -1)))))
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(/.f64 1/2 (/.f64 1/2 (log.f64 (-.f64 x -1))))
(/.f64 (.f64 2 (.f64 (log.f64 (-.f64 x -1)) 8)) 16)
(/.f64 (.f64 2 (.f64 (log.f64 (-.f64 x -1)) -4)) -8)
(/.f64 (/.f64 (*.f64 (log.f64 (-.f64 x -1)) 8) -1) -8)
(/.f64 (/.f64 (*.f64 (log.f64 (-.f64 x -1)) -2) -1) 2)
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(/.f64 (/.f64 (.f64 2 (.f64 (log.f64 (-.f64 x -1)) -4)) -1) 8)
(pow.f64 (log.f64 (-.f64 x -1)) 1)
(neg.f64 (neg.f64 (log.f64 (-.f64 x -1))))
(log.f64 (-.f64 x -1))
(log.f64 (pow.f64 (pow.f64 (-.f64 x -1) -1) -1))
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(-.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (-.f64 x -1))) 0)
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(*.f64 (log.f64 (-.f64 1 x)) (/.f64 1 (log.f64 (-.f64 x -1))))
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(*.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (-.f64 x -1))) 1)
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(*.f64 4 (/.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (-.f64 x -1))) 4))
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(*.f64 (/.f64 1 (log.f64 (-.f64 x -1))) (/.f64 1 (/.f64 1 (log.f64 (-.f64 1 x)))))
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(log.f64 (pow.f64 (pow.f64 (-.f64 1 x) 2) (/.f64 1/2 (log.f64 (-.f64 x -1)))))

Outputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) x))
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(+.f64 x (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 2))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) x)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x (*.f64 -1/4 (pow.f64 x 4)))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (+.f64 (.f64 -1/4 (pow.f64 x 4)) (*.f64 1/3 (pow.f64 x 3)))))
(+.f64 x (+.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 -1/4 (pow.f64 x 4))) (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(+.f64 (/.f64 1 x) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (/.f64 1 x) (neg.f64 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 x) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (-.f64 (neg.f64 (log.f64 (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
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(+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (-.f64 (+.f64 (/.f64 1 x) (.f64 1/3 (/.f64 1 (pow.f64 x 3)))) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
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(.f64 (/.f64 (.f64 1/2 (log.f64 (-.f64 x -1))) (log.f64 (-.f64 1 x))) (/.f64 2 (*.f64 (/.f64 (log.f64 (-.f64 x -1)) (log.f64 (-.f64 1 x))) (/.f64 (log.f64 (-.f64 x -1)) (log.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (-.f64 1 x))) (/.f64 (log.f64 (-.f64 1 x)) (/.f64 (log.f64 (+.f64 x 1)) (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (sqrt.f64 (+.f64 x 1)))))))
(.f64 (/.f64 2 (log.f64 (-.f64 1 x))) (/.f64 (log.f64 (-.f64 x -1)) (.f64 2 (*.f64 (/.f64 (log.f64 (-.f64 x -1)) (log.f64 (-.f64 1 x))) (/.f64 (log.f64 (-.f64 x -1)) (log.f64 (-.f64 1 x)))))))
(.f64 (/.f64 2 (log.f64 (-.f64 1 x))) (/.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 (log.f64 (+.f64 x 1)) (log.f64 (-.f64 1 x))) (/.f64 (log.f64 (+.f64 x 1)) (log.f64 (-.f64 1 x))))))
(.f64 (/.f64 2 (log.f64 (-.f64 1 x))) (/.f64 (log.f64 (-.f64 1 x)) (.f64 (log.f64 (+.f64 x 1)) (/.f64 2 (log.f64 (-.f64 1 x))))))
(/.f64 (/.f64 2 (log.f64 (-.f64 1 x))) (/.f64 (*.f64 (log.f64 (+.f64 x 1)) (/.f64 2 (log.f64 (-.f64 1 x)))) (log.f64 (-.f64 1 x))))
(.f64 (/.f64 1 (.f64 (log.f64 (-.f64 x -1)) 4)) (*.f64 (log.f64 (-.f64 1 x)) 4))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (-.f64 x -1)))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 x 1)))
(*.f64 (/.f64 -1 (log.f64 (-.f64 x -1))) (neg.f64 (log.f64 (-.f64 1 x))))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (-.f64 x -1)))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 x 1)))
(*.f64 (/.f64 (log.f64 (-.f64 1 x)) (neg.f64 (log.f64 (-.f64 x -1)))) -1)
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (-.f64 x -1)))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 x 1)))
(.f64 1/4 (.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (-.f64 x -1))) 4))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (-.f64 x -1)))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 x 1)))
(.f64 (/.f64 -1 (log.f64 (-.f64 1 x))) (/.f64 (neg.f64 (log.f64 (-.f64 x -1))) (.f64 (/.f64 (log.f64 (-.f64 x -1)) (log.f64 (-.f64 1 x))) (/.f64 (log.f64 (-.f64 x -1)) (log.f64 (-.f64 1 x))))))
(.f64 (/.f64 -1 (log.f64 (-.f64 1 x))) (/.f64 (neg.f64 (log.f64 (+.f64 x 1))) (.f64 (/.f64 (log.f64 (+.f64 x 1)) (log.f64 (-.f64 1 x))) (/.f64 (log.f64 (+.f64 x 1)) (log.f64 (-.f64 1 x))))))
(/.f64 (/.f64 (log.f64 (-.f64 1 x)) (/.f64 (log.f64 (+.f64 x 1)) (neg.f64 (log.f64 (-.f64 1 x))))) (neg.f64 (log.f64 (-.f64 1 x))))
(.f64 (.f64 (log.f64 (-.f64 1 x)) 1/2) (/.f64 2 (log.f64 (-.f64 x -1))))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (-.f64 x -1)))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 x 1)))
(pow.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (-.f64 x -1))) 1)
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (-.f64 x -1)))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 x 1)))
(neg.f64 (/.f64 (log.f64 (-.f64 1 x)) (neg.f64 (log.f64 (-.f64 x -1)))))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (-.f64 x -1)))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 x 1)))
(log.f64 (pow.f64 (-.f64 1 x) (/.f64 1 (log.f64 (-.f64 x -1)))))
(log.f64 (pow.f64 (-.f64 1 x) (/.f64 1 (log.f64 (+.f64 x 1)))))
(log.f64 (pow.f64 (pow.f64 (-.f64 1 x) 2) (/.f64 1/2 (log.f64 (-.f64 x -1)))))
(log.f64 (pow.f64 (-.f64 1 x) (/.f64 1 (log.f64 (-.f64 x -1)))))
(log.f64 (pow.f64 (-.f64 1 x) (/.f64 1 (log.f64 (+.f64 x 1)))))

eval296.0ms (1.2%)

Compiler: Compiled 15694 to 13328 computations (15.1% saved)

prune136.0ms (0.5%)

Pruning

13 alts after pruning (4 fresh and 9 done)

	Pruned	Kept	Total
New	755	3	758
Fresh	0	1	1
Picked	1	0	1
Done	3	9	12
Total	759	13	772

Error

0.0b

Counts

772 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	61.7b	(/.f64 (log.f64 (-.f64 1 x)) (-.f64 (+.f64 1 (log.f64 (-.f64 x -1))) 1))
✓	61.4b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
✓	1.0b	(-.f64 (*.f64 -1/2 x) 1)
✓	0.4b	(-.f64 -1 (+.f64 x (*.f64 (pow.f64 x 2) 1/2)))
✓	0.5b	(-.f64 -1 x)
	0.4b	(+.f64 (-.f64 -1 x) (*.f64 -1/4 (pow.f64 x 2)))
✓	0.4b	(+.f64 (-.f64 -1 x) (*.f64 -7/12 (pow.f64 x 2)))
✓	61.4b	(*.f64 (/.f64 1 (log.f64 (+.f64 1 x))) (log.f64 (-.f64 1 x)))
✓	1.1b	(.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2)) (neg.f64 x))
✓	60.7b	(.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2)) (log.f64 (-.f64 1 x)))
✓	60.7b	(*.f64 (+.f64 (/.f64 1 x) 1/2) (log.f64 (-.f64 1 x)))
	61.4b	(*.f64 -7/12 (pow.f64 x 2))
	1.1b	-1

Compiler

Compiled 123 to 100 computations (18.7% saved)

regimes18.0ms (0.1%)

Counts

20 → 1

Calls

Call 1

Inputs
-1
(-.f64 -1 x)
(-.f64 (*.f64 -1/2 x) 1)
(.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2)) (neg.f64 x))
(*.f64 -7/12 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (neg.f64 x) (log.f64 (+.f64 1 x)))
(+.f64 -1 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(+.f64 (-.f64 -1 x) (*.f64 -7/12 (pow.f64 x 2)))
(+.f64 (-.f64 -1 x) (*.f64 -1/4 (pow.f64 x 2)))
(-.f64 -1 (+.f64 x (*.f64 (pow.f64 x 2) 1/2)))
(*.f64 (+.f64 (/.f64 1 x) 1/2) (log.f64 (-.f64 1 x)))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(.f64 (+.f64 (/.f64 1 x) 1/2) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (neg.f64 x)))
(.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2)) (log.f64 (-.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(*.f64 (/.f64 1 (log.f64 (+.f64 1 x))) (log.f64 (-.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 x)) (-.f64 (+.f64 1 (log.f64 (-.f64 x -1))) 1))
(/.f64 (log.f64 (-.f64 1 x)) (+.f64 -1 (-.f64 1 (neg.f64 (log.f64 (+.f64 1 x))))))

Outputs
(-.f64 -1 (+.f64 x (*.f64 (pow.f64 x 2) 1/2)))

Calls

2 calls:

9.0ms	x
3.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))

Results

Error	Segments	Branch
0.4b	1	`x`
0.4b	1	`(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))`

Compiler

Compiled 192 to 151 computations (21.4% saved)

regimes9.0ms (0%)

Counts

11 → 1

Calls

Call 1

Inputs
-1
(-.f64 -1 x)
(-.f64 (*.f64 -1/2 x) 1)
(.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2)) (neg.f64 x))
(*.f64 -7/12 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (neg.f64 x) (log.f64 (+.f64 1 x)))
(+.f64 -1 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(+.f64 (-.f64 -1 x) (*.f64 -7/12 (pow.f64 x 2)))
(+.f64 (-.f64 -1 x) (*.f64 -1/4 (pow.f64 x 2)))

Outputs
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
0.4b	1	`x`

Compiler

Compiled 77 to 59 computations (23.4% saved)

regimes7.0ms (0%)

Accuracy

Total -63.3b remaining (-13592.4%)

Threshold costs -63.3b (-13592.4%)

Counts

8 → 1

Calls

Call 1

Inputs
-1
(-.f64 -1 x)
(-.f64 (*.f64 -1/2 x) 1)
(.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/12) 1/2)) (neg.f64 x))
(*.f64 -7/12 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (neg.f64 x) (log.f64 (+.f64 1 x)))
(+.f64 -1 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)))

Outputs
(-.f64 -1 x)

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
0.5b	1	`x`

Compiler

Compiled 50 to 38 computations (24% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	58

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 -1 (+.f64 x (*.f64 (pow.f64 x 2) 1/2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(-.f64 -1 x)
-1

Outputs
(-.f64 -1 (+.f64 x (*.f64 (pow.f64 x 2) 1/2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(-.f64 -1 x)
-1

Compiler

Compiled 26 to 21 computations (19.2% saved)

soundness569.0ms (2.2%)

Algorithm

2×	egg-herbie

Rules

3732×	`rational.json-simplify-51`
1970×	`rational.json-simplify-35`
1558×	`rational.json-simplify-1`
1328×	`rational.json-simplify-2`
1076×	`rational.json-simplify-55`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	418	8497
1	921	8299
2	4147	7679
3	6581	7497
0	75	1104
1	154	1012
2	355	1012
3	1085	1012
4	2106	984
5	3220	984
6	3735	984
7	3932	984
8	4208	984
9	4432	984
10	4734	984
11	5135	984
12	5311	984
13	5483	984
14	5776	984
15	5996	984
16	6101	984
17	6661	984
18	6890	984
19	7160	984
20	7349	984

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 162 to 132 computations (18.5% saved)

end26.0ms (0.1%)

Compiler: Compiled 23 to 18 computations (21.7% saved)

Details

analyze498.0ms (2%)

sample5.1s (20.3%)

preprocess6.4s (25.3%)

simplify6.4s (25.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize12.0ms (0%)

series5.0ms (0%)

rewrite89.0ms (0.4%)

simplify158.0ms (0.6%)

eval137.0ms (0.5%)

prune41.0ms (0.2%)

localize19.0ms (0.1%)

series2.0ms (0%)

rewrite127.0ms (0.5%)

simplify500.0ms (2%)

localize2.0ms (0%)

localize8.0ms (0%)

series2.0ms (0%)

rewrite72.0ms (0.3%)

simplify133.0ms (0.5%)

localize11.0ms (0%)

series0.0ms (0%)

rewrite134.0ms (0.5%)

simplify422.0ms (1.7%)

localize16.0ms (0.1%)

series2.0ms (0%)

rewrite95.0ms (0.4%)

simplify131.0ms (0.5%)

eval553.0ms (2.2%)

prune121.0ms (0.5%)

localize12.0ms (0%)

series2.0ms (0%)

rewrite272.0ms (1.1%)

simplify308.0ms (1.2%)

localize7.0ms (0%)

localize5.0ms (0%)

localize13.0ms (0%)

series1.0ms (0%)

rewrite97.0ms (0.4%)

simplify109.0ms (0.4%)

localize19.0ms (0.1%)

series2.0ms (0%)

rewrite91.0ms (0.4%)

simplify84.0ms (0.3%)

eval177.0ms (0.7%)

prune173.0ms (0.7%)

localize10.0ms (0%)

series1.0ms (0%)

rewrite158.0ms (0.6%)

simplify381.0ms (1.5%)

localize16.0ms (0.1%)

series1.0ms (0%)

rewrite85.0ms (0.3%)

simplify190.0ms (0.7%)

localize11.0ms (0%)

series1.0ms (0%)

rewrite143.0ms (0.6%)

simplify164.0ms (0.6%)

localize19.0ms (0.1%)

series1.0ms (0%)

rewrite116.0ms (0.5%)

simplify162.0ms (0.6%)

localize22.0ms (0.1%)

series3.0ms (0%)

rewrite91.0ms (0.4%)

simplify120.0ms (0.5%)

eval296.0ms (1.2%)

prune136.0ms (0.5%)

regimes18.0ms (0.1%)

regimes9.0ms (0%)

regimes7.0ms (0%)

simplify2.0ms (0%)

soundness569.0ms (2.2%)

end26.0ms (0.1%)

Profiling