Details

analyze5.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
66.7%	50%	25%	0%	25%	0%	0%	4
80%	50%	12.5%	0%	37.5%	0%	0%	5
88.9%	50%	6.2%	0%	43.7%	0%	0%	6
94.1%	50%	3.1%	0%	46.9%	0%	0%	7
97%	50%	1.6%	0%	48.4%	0%	0%	8
98.5%	50%	0.8%	0%	49.2%	0%	0%	9
99.2%	50.4%	0.4%	0%	49.2%	0%	0%	10
99.6%	50.4%	0.2%	0%	49.4%	0%	0%	11
99.8%	50.4%	0.1%	0%	49.5%	0%	0%	12

Compiler

Compiled 10 to 8 computations (20% saved)

sample6.2s (38.6%)

Results

3.9s	4013×	body	1024	valid
1.7s	2089×	body	512	valid
331.0ms	1739×	body	256	valid
285.0ms	415×	body	2048	valid
1.0ms	14×	body	256	infinite

Bogosity

preprocess2.0s (12.3%)

Algorithm

2×	egg-herbie

Rules

15824×	`rational.json-simplify-41`
2168×	`rational.json-simplify-1`
980×	`rational.json-simplify-35`
2×	`rational.json-simplify-12`
2×	`rational.json-simplify-10`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	21	25
2	33	25
3	45	25
4	65	25
5	107	25
6	219	25
7	564	25
8	718	25
9	728	25
10	738	25
11	748	25
12	758	25
13	768	25
14	778	25
15	788	25
16	798	25
17	808	25
18	818	25
19	828	25
20	838	25
21	848	25
22	858	25
23	2485	25
24	2495	25
25	2505	25
26	2515	25
27	2525	25
28	2535	25
29	3316	25
30	3326	25
31	3336	25
32	3346	25
33	3356	25
34	3366	25
35	3376	25
36	3386	25
37	3396	25
38	3406	25
39	3416	25
40	3426	25
41	3436	25
42	3446	25
43	3456	25
44	3466	25
45	3476	25
46	3486	25
47	3496	25
48	3506	25
49	3516	25
50	3526	25
51	3536	25
52	3546	25
53	3556	25
54	3566	25
55	3576	25
56	3586	25
57	3596	25
58	3606	25
59	3616	25
60	3626	25
61	3636	25
62	3646	25
63	3656	25
64	3666	25
65	3676	25
66	3686	25
67	3696	25
68	3706	25
69	3716	25
70	3726	25
71	3736	25
72	3746	25
73	3756	25
74	3766	25
75	3776	25
76	3786	25
77	3796	25
78	3806	25
79	3816	25
80	3826	25
81	3836	25
82	3846	25
83	3856	25
84	3866	25
85	3876	25
86	3886	25
87	3896	25
88	3906	25
89	3916	25
90	3926	25
91	3936	25
92	3946	25
93	3956	25
94	3966	25
95	3976	25
96	3986	25
97	3996	25
98	4006	25
99	4016	25
100	4026	25
101	4036	25
102	4046	25
103	4056	25
104	4066	25
105	4076	25
106	4086	25
107	4096	25
108	4106	25
109	4116	25
110	4126	25
111	4136	25
112	4146	25
113	4156	25
114	4166	25
115	4176	25
116	4186	25
117	4196	25
118	4206	25
119	4216	25
120	4226	25
121	4236	25
122	4246	25
123	4256	25
124	4266	25
125	4276	25
126	4286	25
127	4296	25
128	4306	25
129	4316	25
130	4326	25
131	4336	25
132	4346	25
133	4356	25
134	4366	25
135	4376	25
136	4386	25
137	4396	25
138	4406	25
139	4416	25
140	4426	25
141	4436	25
142	4446	25
143	4456	25
144	4466	25
145	4476	25
146	4486	25
147	4496	25
148	4506	25
149	4516	25
150	4526	25
151	4536	25
152	4546	25
153	4556	25
154	4566	25
155	4576	25
156	4586	25
157	4596	25
158	4606	25
159	4616	25
160	4626	25
161	4636	25
162	4646	25
163	4656	25
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

Compiler

Compiled 10 to 8 computations (20% saved)

simplify2.0s (12.3%)

Algorithm

1×	egg-herbie

Rules

15824×	`rational.json-simplify-41`
2168×	`rational.json-simplify-1`
980×	`rational.json-simplify-35`
2×	`rational.json-simplify-12`
2×	`rational.json-simplify-10`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	21	25
2	33	25
3	45	25
4	65	25
5	107	25
6	219	25
7	564	25
8	718	25
9	728	25
10	738	25
11	748	25
12	758	25
13	768	25
14	778	25
15	788	25
16	798	25
17	808	25
18	818	25
19	828	25
20	838	25
21	848	25
22	858	25
23	2485	25
24	2495	25
25	2505	25
26	2515	25
27	2525	25
28	2535	25
29	3316	25
30	3326	25
31	3336	25
32	3346	25
33	3356	25
34	3366	25
35	3376	25
36	3386	25
37	3396	25
38	3406	25
39	3416	25
40	3426	25
41	3436	25
42	3446	25
43	3456	25
44	3466	25
45	3476	25
46	3486	25
47	3496	25
48	3506	25
49	3516	25
50	3526	25
51	3536	25
52	3546	25
53	3556	25
54	3566	25
55	3576	25
56	3586	25
57	3596	25
58	3606	25
59	3616	25
60	3626	25
61	3636	25
62	3646	25
63	3656	25
64	3666	25
65	3676	25
66	3686	25
67	3696	25
68	3706	25
69	3716	25
70	3726	25
71	3736	25
72	3746	25
73	3756	25
74	3766	25
75	3776	25
76	3786	25
77	3796	25
78	3806	25
79	3816	25
80	3826	25
81	3836	25
82	3846	25
83	3856	25
84	3866	25
85	3876	25
86	3886	25
87	3896	25
88	3906	25
89	3916	25
90	3926	25
91	3936	25
92	3946	25
93	3956	25
94	3966	25
95	3976	25
96	3986	25
97	3996	25
98	4006	25
99	4016	25
100	4026	25
101	4036	25
102	4046	25
103	4056	25
104	4066	25
105	4076	25
106	4086	25
107	4096	25
108	4106	25
109	4116	25
110	4126	25
111	4136	25
112	4146	25
113	4156	25
114	4166	25
115	4176	25
116	4186	25
117	4196	25
118	4206	25
119	4216	25
120	4226	25
121	4236	25
122	4246	25
123	4256	25
124	4266	25
125	4276	25
126	4286	25
127	4296	25
128	4306	25
129	4316	25
130	4326	25
131	4336	25
132	4346	25
133	4356	25
134	4366	25
135	4376	25
136	4386	25
137	4396	25
138	4406	25
139	4416	25
140	4426	25
141	4436	25
142	4446	25
143	4456	25
144	4466	25
145	4476	25
146	4486	25
147	4496	25
148	4506	25
149	4516	25
150	4526	25
151	4536	25
152	4546	25
153	4556	25
154	4566	25
155	4576	25
156	4586	25
157	4596	25
158	4606	25
159	4616	25
160	4626	25
161	4636	25
162	4646	25
163	4656	25

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

eval0.0ms (0%)

Compiler: Compiled 9 to 7 computations (22.2% 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

59.1b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	59.1b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

Compiler

Compiled 9 to 7 computations (22.2% saved)

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.7b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 24 to 8 computations (66.7% saved)

series1.0ms (0%)

Counts

1 → 8

Calls

3 calls:

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

rewrite72.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1764×	`rational.json-simplify-35`
1310×	`exponential.json-3`
1310×	`rational.json-1`
1310×	`rational.json-2`
1310×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	55	19
2	137	19
3	316	19
4	640	19
5	1628	19
6	4457	19

Stop Event

1×	node limit

Counts

1 → 46

Calls

Call 1

Inputs
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

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

Outputs

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

simplify123.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1122×	`rational.json-simplify-2`
966×	`rational.json-simplify-41`
944×	`rational.json-simplify-54`
638×	`rational.json-simplify-42`
520×	`rational.json-simplify-44`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	1202
1	244	1202
2	510	1202
3	1278	1202
4	3421	1202
5	5005	1202
6	6804	1202

Stop Event

1×	node limit

Counts

54 → 63

Calls

Call 1

Inputs
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/60 (pow.f64 x 5)))))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (/.f64 -1 (exp.f64 x)))
(+.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 0)
(+.f64 0 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 -1 (+.f64 (exp.f64 x) (-.f64 1 (exp.f64 (neg.f64 x)))))
(+.f64 -1 (+.f64 (-.f64 1 (exp.f64 (neg.f64 x))) (exp.f64 x)))
(+.f64 -2 (-.f64 1 (-.f64 -1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(+.f64 (/.f64 -1 (exp.f64 x)) (exp.f64 x))
(+.f64 (+.f64 (exp.f64 x) (-.f64 1 (exp.f64 (neg.f64 x)))) -1)
(+.f64 (.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2) (.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))
(+.f64 (+.f64 (exp.f64 x) -1) (-.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 (-.f64 -1 (exp.f64 (neg.f64 x))) (-.f64 1 (neg.f64 (exp.f64 x))))
(.f64 (exp.f64 x) (-.f64 1 (exp.f64 (.f64 x -2))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1)
(*.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(.f64 2 (.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))
(.f64 2 (-.f64 (.f64 (exp.f64 x) 1/2) (/.f64 1/2 (exp.f64 x))))
(.f64 (.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) 1/2)
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -1)
(*.f64 4 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 4))
(.f64 (.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 4) 1/4)
(.f64 1/2 (.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))
(.f64 1/2 (-.f64 (.f64 (exp.f64 x) 2) (/.f64 2 (exp.f64 x))))
(.f64 (.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2) 2)
(.f64 (.f64 (exp.f64 x) 1/2) (-.f64 2 (.f64 2 (exp.f64 (.f64 x -2)))))
(.f64 1/4 (.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 4))
(*.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 4) 4)
(.f64 (-.f64 1 (exp.f64 (.f64 x -2))) (exp.f64 x))
(.f64 (-.f64 (.f64 (exp.f64 x) 1/2) (/.f64 1/2 (exp.f64 x))) 2)
(.f64 (-.f64 (.f64 (exp.f64 x) 2) (/.f64 2 (exp.f64 x))) 1/2)
(.f64 (-.f64 2 (.f64 2 (exp.f64 (.f64 x -2)))) (.f64 (exp.f64 x) 1/2))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1)
(/.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) 2)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -1)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 x))))
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (neg.f64 (exp.f64 x)) (exp.f64 (neg.f64 x))))
(/.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 4) 4)
(/.f64 (*.f64 2 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) -2)
(/.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 8) 8)
(/.f64 (.f64 2 (.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 8)) 16)
(/.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 4) -4)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 8))) 32)
(/.f64 (.f64 2 (.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 4)) -8)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 8))) (.f64 2 (.f64 2 (.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 8)))) 64)
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1)
(neg.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))

Outputs
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 1/60 (pow.f64 x 5)) (*.f64 2 x)))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 2 x) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/60 (pow.f64 x 5)))))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))))
(+.f64 (.f64 2 x) (+.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5))) (.f64 1/2520 (pow.f64 x 7))))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/2520 (pow.f64 x 7)))))
(+.f64 (+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3))) (+.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/2520 (pow.f64 x 7))))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/2520 (pow.f64 x 7)))))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (/.f64 -1 (exp.f64 x)))
(+.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 0)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 0 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 -1 (+.f64 (exp.f64 x) (-.f64 1 (exp.f64 (neg.f64 x)))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 -1 (+.f64 (-.f64 1 (exp.f64 (neg.f64 x))) (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 -2 (-.f64 1 (-.f64 -1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (/.f64 -1 (exp.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (/.f64 -1 (exp.f64 x)))
(+.f64 (+.f64 (exp.f64 x) (-.f64 1 (exp.f64 (neg.f64 x)))) -1)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2) (.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (+.f64 (exp.f64 x) -1) (-.f64 1 (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (-.f64 -1 (exp.f64 (neg.f64 x))) (-.f64 1 (neg.f64 (exp.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(.f64 (exp.f64 x) (-.f64 1 (exp.f64 (.f64 x -2))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(.f64 2 (.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(.f64 2 (-.f64 (.f64 (exp.f64 x) 1/2) (/.f64 1/2 (exp.f64 x))))
(.f64 (.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) 1/2)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -1)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 4 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 4))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(.f64 (.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 4) 1/4)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(.f64 1/2 (.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(.f64 1/2 (-.f64 (.f64 (exp.f64 x) 2) (/.f64 2 (exp.f64 x))))
(.f64 1/2 (-.f64 (.f64 2 (exp.f64 x)) (/.f64 2 (exp.f64 x))))
(.f64 (.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2) 2)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(.f64 (.f64 (exp.f64 x) 1/2) (-.f64 2 (.f64 2 (exp.f64 (.f64 x -2)))))
(.f64 1/2 (.f64 (-.f64 2 (.f64 2 (exp.f64 (.f64 x -2)))) (exp.f64 x)))
(.f64 (exp.f64 x) (.f64 1/2 (-.f64 2 (.f64 2 (exp.f64 (.f64 x -2))))))
(.f64 1/2 (.f64 (exp.f64 x) (-.f64 2 (.f64 2 (exp.f64 (.f64 x -2))))))
(.f64 1/4 (.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 4))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 4) 4)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(.f64 (-.f64 1 (exp.f64 (.f64 x -2))) (exp.f64 x))
(.f64 (exp.f64 x) (-.f64 1 (exp.f64 (.f64 x -2))))
(.f64 (-.f64 (.f64 (exp.f64 x) 1/2) (/.f64 1/2 (exp.f64 x))) 2)
(.f64 2 (-.f64 (.f64 (exp.f64 x) 1/2) (/.f64 1/2 (exp.f64 x))))
(.f64 (-.f64 (.f64 (exp.f64 x) 2) (/.f64 2 (exp.f64 x))) 1/2)
(.f64 1/2 (-.f64 (.f64 2 (exp.f64 x)) (/.f64 2 (exp.f64 x))))
(.f64 (-.f64 2 (.f64 2 (exp.f64 (.f64 x -2)))) (.f64 (exp.f64 x) 1/2))
(.f64 (.f64 (exp.f64 x) 1/2) (-.f64 2 (.f64 2 (exp.f64 (.f64 x -2)))))
(.f64 1/2 (.f64 (-.f64 2 (.f64 2 (exp.f64 (.f64 x -2)))) (exp.f64 x)))
(.f64 (exp.f64 x) (.f64 1/2 (-.f64 2 (.f64 2 (exp.f64 (.f64 x -2))))))
(.f64 1/2 (.f64 (exp.f64 x) (-.f64 2 (.f64 2 (exp.f64 (.f64 x -2))))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) 2)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -1)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (neg.f64 (exp.f64 x)) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 4) 4)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (*.f64 2 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) -2)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 8) 8)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (.f64 2 (.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 8)) 16)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 4) -4)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 8))) 32)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (.f64 2 (.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 4)) -8)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 8))) (.f64 2 (.f64 2 (.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 8)))) 64)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(neg.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

eval14.0ms (0.1%)

Compiler: Compiled 857 to 533 computations (37.8% saved)

prune15.0ms (0.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	57	6	63
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	57	7	64

Error

0.0b

Counts

64 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	59.1b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
▶	0.2b	(/.f64 (+.f64 (+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3))) (+.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/2520 (pow.f64 x 7)))) 2)
▶	59.1b	(/.f64 (+.f64 (+.f64 (exp.f64 x) (-.f64 1 (exp.f64 (neg.f64 x)))) -1) 2)
	0.2b	(/.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5)))) 2)
▶	0.3b	(/.f64 (+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3))) 2)
▶	59.1b	(/.f64 (.f64 (-.f64 1 (exp.f64 (.f64 x -2))) (exp.f64 x)) 2)
▶	0.7b	(/.f64 (*.f64 2 x) 2)

Compiler

Compiled 179 to 149 computations (16.8% saved)

localize37.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3))) (+.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/2520 (pow.f64 x 7))))
✓	0.1b	(*.f64 1/2520 (pow.f64 x 7))
✓	0.1b	(*.f64 1/60 (pow.f64 x 5))
✓	0.2b	(*.f64 1/3 (pow.f64 x 3))

Compiler

Compiled 100 to 80 computations (20% saved)

series4.0ms (0%)

Counts

4 → 12

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(*.f64 1/2520 (pow.f64 x 7))
1.0ms	x	@	0	(*.f64 1/2520 (pow.f64 x 7))
0.0ms	x	@	0	(*.f64 1/3 (pow.f64 x 3))
0.0ms	x	@	0	(*.f64 1/60 (pow.f64 x 5))
0.0ms	x	@	inf	(*.f64 1/3 (pow.f64 x 3))

rewrite240.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2912×	`rational.json-simplify-35`
2240×	`rational.json-simplify-2`
1320×	`rational.json-simplify-1`
1164×	`exponential.json-3`
1164×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	100
1	131	100
2	239	100
3	494	100
4	1112	100
5	2476	100
6	3808	100
7	4837	100
8	5967	100
9	6662	100
10	6662	100
11	7762	100
12	7772	100

Stop Event

1×	node limit

Counts

4 → 63

Calls

Call 1

Inputs
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/60 (pow.f64 x 5))
(*.f64 1/2520 (pow.f64 x 7))
(+.f64 (+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3))) (+.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/2520 (pow.f64 x 7))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/3 (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 x 3) 1/6) (.f64 (pow.f64 x 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/3 (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/3 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 3) 2/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 3) 4/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (pow.f64 x 3) 4/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 4/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 4/3)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 4/3))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 4/3)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 4/3)))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 4/3))))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (pow.f64 x 3)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/60 (pow.f64 x 5)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/60 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 x 5) 1/120) (.f64 (pow.f64 x 5) 1/120))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/60 (pow.f64 x 5)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/60 (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 5) 1/30) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 5) 1/15) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (pow.f64 x 5) 1/15)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 x 5) 1/15))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 5) 1/15)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 5) 1/15))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 5) 1/15)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 5) 1/15)))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 5) 1/15))))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/60 (pow.f64 x 5)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2520 (pow.f64 x 7)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/2520 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 x 7) 1/5040) (.f64 (pow.f64 x 7) 1/5040))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/2520 (pow.f64 x 7)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/2520 (pow.f64 x 7)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 7) 1/1260) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 7) 1/630) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (pow.f64 x 7) 1/630)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 x 7) 1/630))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 7) 1/630)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 7) 1/630))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 7) 1/630)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 7) 1/630)))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 7) 1/630))))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2520 (pow.f64 x 7)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x x))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))) 4)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))) 4)))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))) 4))))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))) 1)))))

simplify383.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

4958×	`rational.json-simplify-41`
2916×	`rational.json-simplify-35`
2760×	`rational.json-simplify-2`
2462×	`rational.json-simplify-51`
1156×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	147	2271
1	344	2271
2	782	2271
3	2254	2271
4	3238	2271
5	3576	2271
6	3897	2271
7	4062	2271
8	4206	2271
9	6046	2271
10	6206	2271
11	6214	2271
12	6214	2271
13	6214	2271
14	7361	2271
15	7498	2271
16	7632	2271

Stop Event

1×	node limit

Counts

75 → 86

Calls

Call 1

Inputs
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/60 (pow.f64 x 5)))))
(*.f64 1/2520 (pow.f64 x 7))
(+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/60 (pow.f64 x 5)))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/60 (pow.f64 x 5)))))
(*.f64 1/2520 (pow.f64 x 7))
(+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/60 (pow.f64 x 5)))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/60 (pow.f64 x 5)))))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) 0)
(+.f64 0 (*.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 (pow.f64 x 3) 1/6) (.f64 (pow.f64 x 3) 1/6))
(-.f64 (*.f64 1/3 (pow.f64 x 3)) 0)
(/.f64 (*.f64 1/3 (pow.f64 x 3)) 1)
(/.f64 (*.f64 (pow.f64 x 3) 2/3) 2)
(/.f64 (*.f64 (pow.f64 x 3) 4/3) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 x 3) 4/3)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 3) 4/3))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 4/3)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 3) 4/3))))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 4/3)))))) 128)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 4/3)))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 4/3))))))) 256)
(pow.f64 (*.f64 1/3 (pow.f64 x 3)) 1)
(+.f64 (*.f64 1/60 (pow.f64 x 5)) 0)
(+.f64 0 (*.f64 1/60 (pow.f64 x 5)))
(+.f64 (.f64 (pow.f64 x 5) 1/120) (.f64 (pow.f64 x 5) 1/120))
(-.f64 (*.f64 1/60 (pow.f64 x 5)) 0)
(/.f64 (*.f64 1/60 (pow.f64 x 5)) 1)
(/.f64 (*.f64 (pow.f64 x 5) 1/30) 2)
(/.f64 (*.f64 (pow.f64 x 5) 1/15) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 x 5) 1/15)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 5) 1/15))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 5) 1/15)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 5) 1/15))))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 5) 1/15)))))) 128)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 5) 1/15)))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 5) 1/15))))))) 256)
(pow.f64 (*.f64 1/60 (pow.f64 x 5)) 1)
(+.f64 (*.f64 1/2520 (pow.f64 x 7)) 0)
(+.f64 0 (*.f64 1/2520 (pow.f64 x 7)))
(+.f64 (.f64 (pow.f64 x 7) 1/5040) (.f64 (pow.f64 x 7) 1/5040))
(-.f64 (*.f64 1/2520 (pow.f64 x 7)) 0)
(/.f64 (*.f64 1/2520 (pow.f64 x 7)) 1)
(/.f64 (*.f64 (pow.f64 x 7) 1/1260) 2)
(/.f64 (*.f64 (pow.f64 x 7) 1/630) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 x 7) 1/630)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 7) 1/630))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 7) 1/630)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 7) 1/630))))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 7) 1/630)))))) 128)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 7) 1/630)))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 7) 1/630))))))) 256)
(pow.f64 (*.f64 1/2520 (pow.f64 x 7)) 1)
(-.f64 (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))) 0)
(.f64 2 (.f64 (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))) 1/2))
(.f64 (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))) 1)
(.f64 1 (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))))
(.f64 (.f64 2 (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 x x))))) 1/2)
(.f64 4 (/.f64 (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))) 4))
(.f64 (.f64 (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))) 4) 1/4)
(.f64 1/2 (.f64 2 (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 x x))))))
(.f64 (.f64 (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))) 4))
(.f64 (/.f64 (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))) 4) 4)
(/.f64 (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))) 1)
(/.f64 (.f64 2 (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x x))))) 2)
(/.f64 (.f64 (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))) 4)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))) 4))))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))) 4)))))) 128)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))) 4)))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))) 4))))))) 256)
(pow.f64 (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))) 1)

Outputs
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(.f64 2 (+.f64 x (+.f64 (.f64 (pow.f64 x 3) 1/6) (*.f64 (pow.f64 x 5) 1/120))))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/60 (pow.f64 x 5)))))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/2520 (pow.f64 x 7)))))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (+.f64 (.f64 2 x) (.f64 1/60 (pow.f64 x 5))) (.f64 1/2520 (pow.f64 x 7))))
(+.f64 (+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3))) (+.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/2520 (pow.f64 x 7))))
(*.f64 1/2520 (pow.f64 x 7))
(+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/60 (pow.f64 x 5)))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/2520 (pow.f64 x 7)))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 1/60 (pow.f64 x 5)) (*.f64 1/2520 (pow.f64 x 7))))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/60 (pow.f64 x 5)))))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))))
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(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 x (+.f64 x (*.f64 1/3 (pow.f64 x 3))))))
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(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (+.f64 x x) (*.f64 1/2520 (pow.f64 x 7)))))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 x x)) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 x (+.f64 (+.f64 x (.f64 1/3 (pow.f64 x 3))) (*.f64 1/60 (pow.f64 x 5)))))
(+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 x (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 x (*.f64 1/3 (pow.f64 x 3))))))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 x (+.f64 x (*.f64 1/3 (pow.f64 x 3))))))
(+.f64 x (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 x (*.f64 1/3 (pow.f64 x 3))))))
(/.f64 (.f64 (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))) 4) 4)
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (+.f64 x x) (*.f64 1/2520 (pow.f64 x 7)))))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 x x)) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 x (+.f64 (+.f64 x (.f64 1/3 (pow.f64 x 3))) (*.f64 1/60 (pow.f64 x 5)))))
(+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 x (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 x (*.f64 1/3 (pow.f64 x 3))))))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 x (+.f64 x (*.f64 1/3 (pow.f64 x 3))))))
(+.f64 x (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 x (*.f64 1/3 (pow.f64 x 3))))))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))) 4)) 8)
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (+.f64 x x) (*.f64 1/2520 (pow.f64 x 7)))))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 x x)) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 x (+.f64 (+.f64 x (.f64 1/3 (pow.f64 x 3))) (*.f64 1/60 (pow.f64 x 5)))))
(+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 x (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 x (*.f64 1/3 (pow.f64 x 3))))))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 x (+.f64 x (*.f64 1/3 (pow.f64 x 3))))))
(+.f64 x (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 x (*.f64 1/3 (pow.f64 x 3))))))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))) 4))) 16)
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (+.f64 x x) (*.f64 1/2520 (pow.f64 x 7)))))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 x x)) (*.f64 1/60 (pow.f64 x 5))))
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(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (+.f64 x x) (*.f64 1/2520 (pow.f64 x 7)))))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 x x)) (*.f64 1/60 (pow.f64 x 5))))
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(+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 x (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 x (*.f64 1/3 (pow.f64 x 3))))))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 x (+.f64 x (*.f64 1/3 (pow.f64 x 3))))))
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(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))) 4))))) 64)
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (+.f64 x x) (*.f64 1/2520 (pow.f64 x 7)))))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 x x)) (*.f64 1/60 (pow.f64 x 5))))
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(+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 x (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 x (*.f64 1/3 (pow.f64 x 3))))))
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(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))) 4)))))) 128)
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (+.f64 x x) (*.f64 1/2520 (pow.f64 x 7)))))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 x x)) (*.f64 1/60 (pow.f64 x 5))))
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(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 x (+.f64 x (*.f64 1/3 (pow.f64 x 3))))))
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(+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 x (+.f64 (+.f64 x (.f64 1/3 (pow.f64 x 3))) (*.f64 1/60 (pow.f64 x 5)))))
(+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 x (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 x (*.f64 1/3 (pow.f64 x 3))))))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 x (+.f64 x (*.f64 1/3 (pow.f64 x 3))))))
(+.f64 x (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 x (*.f64 1/3 (pow.f64 x 3))))))
(pow.f64 (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))) 1)
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (+.f64 x x) (*.f64 1/2520 (pow.f64 x 7)))))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 x x)) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 x (+.f64 (+.f64 x (.f64 1/3 (pow.f64 x 3))) (*.f64 1/60 (pow.f64 x 5)))))
(+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 x (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 x (*.f64 1/3 (pow.f64 x 3))))))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 x (+.f64 x (*.f64 1/3 (pow.f64 x 3))))))
(+.f64 x (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 x (*.f64 1/3 (pow.f64 x 3))))))

localize5.0ms (0%)

Compiler: Compiled 11 to 8 computations (27.3% saved)

localize14.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.2b	(*.f64 1/3 (pow.f64 x 3))

Compiler

Compiled 36 to 28 computations (22.2% saved)

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (-.f64 1 (exp.f64 (.f64 x -2))) (exp.f64 x))
✓	6.7b	(-.f64 1 (exp.f64 (*.f64 x -2)))

Compiler

Compiled 40 to 29 computations (27.5% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite133.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1518×	`rational.json-1`
1518×	`rational.json-2`
1518×	`rational.json-3`
1516×	`exponential.json-3`
1516×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	79	44
2	163	44
3	318	44
4	562	44
5	1202	44
6	2512	44
7	4098	44
8	5350	44
9	7126	44

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

Inputs
(-.f64 1 (exp.f64 (*.f64 x -2)))
(.f64 (-.f64 1 (exp.f64 (.f64 x -2))) (exp.f64 x))

Outputs

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

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

simplify212.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

2550×	`rational.json-simplify-2`
1988×	`rational.json-simplify-35`
1134×	`rational.json-simplify-51`
1100×	`rational.json-simplify-1`
922×	`rational.json-simplify-53`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	1604
1	328	1604
2	769	1604
3	1691	1604
4	4419	1604
5	5164	1604
6	5823	1604
7	6625	1604
8	6974	1604
9	7268	1604

Stop Event

1×	node limit

Counts

74 → 73

Calls

Call 1

Inputs
(*.f64 2 x)
(+.f64 (.f64 -2 (pow.f64 x 2)) (.f64 2 x))
(+.f64 (.f64 4/3 (pow.f64 x 3)) (+.f64 (.f64 -2 (pow.f64 x 2)) (*.f64 2 x)))
(+.f64 (.f64 -2/3 (pow.f64 x 4)) (+.f64 (.f64 4/3 (pow.f64 x 3)) (+.f64 (.f64 -2 (pow.f64 x 2)) (.f64 2 x))))
(-.f64 1 (exp.f64 (*.f64 -2 x)))
(-.f64 1 (exp.f64 (*.f64 -2 x)))
(-.f64 1 (exp.f64 (*.f64 -2 x)))
(-.f64 1 (exp.f64 (*.f64 -2 x)))
(-.f64 1 (exp.f64 (*.f64 -2 x)))
(-.f64 1 (exp.f64 (*.f64 -2 x)))
(-.f64 1 (exp.f64 (*.f64 -2 x)))
(-.f64 1 (exp.f64 (*.f64 -2 x)))
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/60 (pow.f64 x 5)))))
(.f64 (-.f64 1 (exp.f64 (.f64 -2 x))) (exp.f64 x))
(.f64 (-.f64 1 (exp.f64 (.f64 -2 x))) (exp.f64 x))
(.f64 (-.f64 1 (exp.f64 (.f64 -2 x))) (exp.f64 x))
(.f64 (-.f64 1 (exp.f64 (.f64 -2 x))) (exp.f64 x))
(.f64 (-.f64 1 (exp.f64 (.f64 -2 x))) (exp.f64 x))
(.f64 (-.f64 1 (exp.f64 (.f64 -2 x))) (exp.f64 x))
(.f64 (-.f64 1 (exp.f64 (.f64 -2 x))) (exp.f64 x))
(.f64 (-.f64 1 (exp.f64 (.f64 -2 x))) (exp.f64 x))
(+.f64 -2 (-.f64 1 (+.f64 -2 (exp.f64 (*.f64 x -2)))))
(+.f64 (-.f64 1 (exp.f64 (*.f64 x -2))) 0)
(+.f64 0 (-.f64 1 (exp.f64 (*.f64 x -2))))
(+.f64 -1 (neg.f64 (+.f64 -2 (exp.f64 (*.f64 x -2)))))
(+.f64 (neg.f64 (+.f64 -2 (exp.f64 (*.f64 x -2)))) -1)
(+.f64 (.f64 (-.f64 1 (exp.f64 (.f64 x -2))) 1/2) (.f64 (-.f64 1 (exp.f64 (.f64 x -2))) 1/2))
(.f64 1 (-.f64 1 (exp.f64 (.f64 x -2))))
(.f64 (-.f64 1 (exp.f64 (.f64 x -2))) 1)
(.f64 2 (.f64 (-.f64 1 (exp.f64 (*.f64 x -2))) 1/2))
(.f64 4 (/.f64 (-.f64 1 (exp.f64 (.f64 x -2))) 4))
(.f64 (.f64 (-.f64 1 (exp.f64 (*.f64 x -2))) 2) 1/2)
(.f64 (+.f64 (exp.f64 (.f64 x -2)) -1) -1)
(.f64 -1 (+.f64 (exp.f64 (.f64 x -2)) -1))
(.f64 (.f64 (-.f64 1 (exp.f64 (*.f64 x -2))) 4) 1/4)
(.f64 1/2 (.f64 (-.f64 1 (exp.f64 (*.f64 x -2))) 2))
(.f64 (.f64 (-.f64 1 (exp.f64 (*.f64 x -2))) 1/2) 2)
(.f64 1/4 (.f64 (-.f64 1 (exp.f64 (*.f64 x -2))) 4))
(.f64 (/.f64 (-.f64 1 (exp.f64 (.f64 x -2))) 4) 4)
(/.f64 (-.f64 1 (exp.f64 (*.f64 x -2))) 1)
(/.f64 (.f64 (-.f64 1 (exp.f64 (.f64 x -2))) 2) 2)
(/.f64 (+.f64 (exp.f64 (*.f64 x -2)) -1) -1)
(/.f64 (.f64 (-.f64 1 (exp.f64 (.f64 x -2))) 4) 4)
(/.f64 (.f64 (-.f64 1 (exp.f64 (.f64 x -2))) 8) 8)
(/.f64 (.f64 2 (+.f64 (exp.f64 (.f64 x -2)) -1)) -2)
(/.f64 (.f64 4 (+.f64 (exp.f64 (.f64 x -2)) -1)) -4)
(/.f64 (.f64 2 (.f64 (-.f64 1 (exp.f64 (*.f64 x -2))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 1 (exp.f64 (.f64 x -2))) 8))) 32)
(/.f64 (.f64 2 (.f64 4 (+.f64 (exp.f64 (*.f64 x -2)) -1))) -8)
(/.f64 (neg.f64 (.f64 4 (+.f64 (exp.f64 (.f64 x -2)) -1))) 4)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 (exp.f64 (*.f64 x -2))) 8)))) 64)
(/.f64 (.f64 2 (neg.f64 (.f64 4 (+.f64 (exp.f64 (*.f64 x -2)) -1)))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 4 (+.f64 (exp.f64 (.f64 x -2)) -1)))) -16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 (exp.f64 (.f64 x -2))) 8))))) 128)
(/.f64 (.f64 2 (.f64 2 (neg.f64 (.f64 4 (+.f64 (exp.f64 (.f64 x -2)) -1))))) 16)
(pow.f64 (-.f64 1 (exp.f64 (*.f64 x -2))) 1)
(neg.f64 (+.f64 (exp.f64 (*.f64 x -2)) -1))
(neg.f64 (+.f64 1 (+.f64 -2 (exp.f64 (*.f64 x -2)))))
(+.f64 (.f64 (-.f64 1 (exp.f64 (.f64 x -2))) (exp.f64 x)) 0)
(+.f64 0 (.f64 (-.f64 1 (exp.f64 (.f64 x -2))) (exp.f64 x)))
(+.f64 (.f64 (-.f64 1 (exp.f64 (.f64 x -2))) (.f64 (exp.f64 x) 1/2)) (.f64 (-.f64 1 (exp.f64 (.f64 x -2))) (.f64 (exp.f64 x) 1/2)))
(-.f64 (.f64 (-.f64 1 (exp.f64 (.f64 x -2))) (exp.f64 x)) 0)
(/.f64 (.f64 (-.f64 1 (exp.f64 (.f64 x -2))) (exp.f64 x)) 1)
(/.f64 (.f64 (exp.f64 x) (.f64 (-.f64 1 (exp.f64 (*.f64 x -2))) 2)) 2)
(/.f64 (.f64 (-.f64 1 (exp.f64 (.f64 x -2))) (*.f64 (exp.f64 x) 4)) 4)
(/.f64 (.f64 (-.f64 1 (exp.f64 (.f64 x -2))) (*.f64 (exp.f64 x) 8)) 8)
(/.f64 (.f64 (.f64 (-.f64 1 (exp.f64 (.f64 x -2))) 2) (.f64 (exp.f64 x) 8)) 16)
(/.f64 (.f64 2 (.f64 (.f64 (-.f64 1 (exp.f64 (.f64 x -2))) 2) (*.f64 (exp.f64 x) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 1 (exp.f64 (.f64 x -2))) 2) (.f64 (exp.f64 x) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 1 (exp.f64 (.f64 x -2))) 2) (*.f64 (exp.f64 x) 8))))) 128)
(pow.f64 (.f64 (-.f64 1 (exp.f64 (.f64 x -2))) (exp.f64 x)) 1)

Outputs
(*.f64 2 x)
(+.f64 (.f64 -2 (pow.f64 x 2)) (.f64 2 x))
(+.f64 (.f64 2 x) (.f64 -2 (pow.f64 x 2)))
(+.f64 (.f64 4/3 (pow.f64 x 3)) (+.f64 (.f64 -2 (pow.f64 x 2)) (*.f64 2 x)))
(+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 (.f64 2 x) (*.f64 4/3 (pow.f64 x 3))))
(+.f64 (.f64 2 x) (+.f64 (.f64 -2 (pow.f64 x 2)) (*.f64 4/3 (pow.f64 x 3))))
(+.f64 (.f64 -2/3 (pow.f64 x 4)) (+.f64 (.f64 4/3 (pow.f64 x 3)) (+.f64 (.f64 -2 (pow.f64 x 2)) (.f64 2 x))))
(+.f64 (.f64 4/3 (pow.f64 x 3)) (+.f64 (+.f64 (.f64 2 x) (.f64 -2 (pow.f64 x 2))) (.f64 -2/3 (pow.f64 x 4))))
(+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 (+.f64 (.f64 2 x) (.f64 4/3 (pow.f64 x 3))) (.f64 -2/3 (pow.f64 x 4))))
(+.f64 (.f64 4/3 (pow.f64 x 3)) (+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 (.f64 2 x) (.f64 -2/3 (pow.f64 x 4)))))
(+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 (.f64 2 x) (+.f64 (.f64 4/3 (pow.f64 x 3)) (.f64 -2/3 (pow.f64 x 4)))))
(-.f64 1 (exp.f64 (*.f64 -2 x)))
(-.f64 1 (exp.f64 (*.f64 x -2)))
(-.f64 1 (exp.f64 (*.f64 -2 x)))
(-.f64 1 (exp.f64 (*.f64 x -2)))
(-.f64 1 (exp.f64 (*.f64 -2 x)))
(-.f64 1 (exp.f64 (*.f64 x -2)))
(-.f64 1 (exp.f64 (*.f64 -2 x)))
(-.f64 1 (exp.f64 (*.f64 x -2)))
(-.f64 1 (exp.f64 (*.f64 -2 x)))
(-.f64 1 (exp.f64 (*.f64 x -2)))
(-.f64 1 (exp.f64 (*.f64 -2 x)))
(-.f64 1 (exp.f64 (*.f64 x -2)))
(-.f64 1 (exp.f64 (*.f64 -2 x)))
(-.f64 1 (exp.f64 (*.f64 x -2)))
(-.f64 1 (exp.f64 (*.f64 -2 x)))
(-.f64 1 (exp.f64 (*.f64 x -2)))
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (.f64 (pow.f64 x 3) 1/3))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (.f64 2 x) (+.f64 (.f64 (pow.f64 x 3) 1/3) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (.f64 2 x) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/60 (pow.f64 x 5)))))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 (pow.f64 x 3) 1/3) (.f64 1/60 (pow.f64 x 5)))))
(+.f64 (.f64 2 x) (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/2520 (pow.f64 x 7)))))
(.f64 (-.f64 1 (exp.f64 (.f64 -2 x))) (exp.f64 x))
(.f64 (exp.f64 x) (-.f64 1 (exp.f64 (.f64 x -2))))
(.f64 (-.f64 1 (exp.f64 (.f64 -2 x))) (exp.f64 x))
(.f64 (exp.f64 x) (-.f64 1 (exp.f64 (.f64 x -2))))
(.f64 (-.f64 1 (exp.f64 (.f64 -2 x))) (exp.f64 x))
(.f64 (exp.f64 x) (-.f64 1 (exp.f64 (.f64 x -2))))
(.f64 (-.f64 1 (exp.f64 (.f64 -2 x))) (exp.f64 x))
(.f64 (exp.f64 x) (-.f64 1 (exp.f64 (.f64 x -2))))
(.f64 (-.f64 1 (exp.f64 (.f64 -2 x))) (exp.f64 x))
(.f64 (exp.f64 x) (-.f64 1 (exp.f64 (.f64 x -2))))
(.f64 (-.f64 1 (exp.f64 (.f64 -2 x))) (exp.f64 x))
(.f64 (exp.f64 x) (-.f64 1 (exp.f64 (.f64 x -2))))
(.f64 (-.f64 1 (exp.f64 (.f64 -2 x))) (exp.f64 x))
(.f64 (exp.f64 x) (-.f64 1 (exp.f64 (.f64 x -2))))
(.f64 (-.f64 1 (exp.f64 (.f64 -2 x))) (exp.f64 x))
(.f64 (exp.f64 x) (-.f64 1 (exp.f64 (.f64 x -2))))
(+.f64 -2 (-.f64 1 (+.f64 -2 (exp.f64 (*.f64 x -2)))))
(-.f64 1 (exp.f64 (*.f64 x -2)))
(+.f64 (-.f64 1 (exp.f64 (*.f64 x -2))) 0)
(-.f64 1 (exp.f64 (*.f64 x -2)))
(+.f64 0 (-.f64 1 (exp.f64 (*.f64 x -2))))
(-.f64 1 (exp.f64 (*.f64 x -2)))
(+.f64 -1 (neg.f64 (+.f64 -2 (exp.f64 (*.f64 x -2)))))
(-.f64 1 (exp.f64 (*.f64 x -2)))
(+.f64 (neg.f64 (+.f64 -2 (exp.f64 (*.f64 x -2)))) -1)
(-.f64 1 (exp.f64 (*.f64 x -2)))
(+.f64 (.f64 (-.f64 1 (exp.f64 (.f64 x -2))) 1/2) (.f64 (-.f64 1 (exp.f64 (.f64 x -2))) 1/2))
(-.f64 1 (exp.f64 (*.f64 x -2)))
(.f64 1 (-.f64 1 (exp.f64 (.f64 x -2))))
(-.f64 1 (exp.f64 (*.f64 x -2)))
(.f64 (-.f64 1 (exp.f64 (.f64 x -2))) 1)
(-.f64 1 (exp.f64 (*.f64 x -2)))
(.f64 2 (.f64 (-.f64 1 (exp.f64 (*.f64 x -2))) 1/2))
(-.f64 1 (exp.f64 (*.f64 x -2)))
(.f64 4 (/.f64 (-.f64 1 (exp.f64 (.f64 x -2))) 4))
(-.f64 1 (exp.f64 (*.f64 x -2)))
(.f64 (.f64 (-.f64 1 (exp.f64 (*.f64 x -2))) 2) 1/2)
(-.f64 1 (exp.f64 (*.f64 x -2)))
(.f64 (+.f64 (exp.f64 (.f64 x -2)) -1) -1)
(-.f64 1 (exp.f64 (*.f64 x -2)))
(.f64 -1 (+.f64 (exp.f64 (.f64 x -2)) -1))
(-.f64 1 (exp.f64 (*.f64 x -2)))
(.f64 (.f64 (-.f64 1 (exp.f64 (*.f64 x -2))) 4) 1/4)
(-.f64 1 (exp.f64 (*.f64 x -2)))
(.f64 1/2 (.f64 (-.f64 1 (exp.f64 (*.f64 x -2))) 2))
(-.f64 1 (exp.f64 (*.f64 x -2)))
(.f64 (.f64 (-.f64 1 (exp.f64 (*.f64 x -2))) 1/2) 2)
(-.f64 1 (exp.f64 (*.f64 x -2)))
(.f64 1/4 (.f64 (-.f64 1 (exp.f64 (*.f64 x -2))) 4))
(-.f64 1 (exp.f64 (*.f64 x -2)))
(.f64 (/.f64 (-.f64 1 (exp.f64 (.f64 x -2))) 4) 4)
(-.f64 1 (exp.f64 (*.f64 x -2)))
(/.f64 (-.f64 1 (exp.f64 (*.f64 x -2))) 1)
(-.f64 1 (exp.f64 (*.f64 x -2)))
(/.f64 (.f64 (-.f64 1 (exp.f64 (.f64 x -2))) 2) 2)
(-.f64 1 (exp.f64 (*.f64 x -2)))
(/.f64 (+.f64 (exp.f64 (*.f64 x -2)) -1) -1)
(-.f64 1 (exp.f64 (*.f64 x -2)))
(/.f64 (.f64 (-.f64 1 (exp.f64 (.f64 x -2))) 4) 4)
(-.f64 1 (exp.f64 (*.f64 x -2)))
(/.f64 (.f64 (-.f64 1 (exp.f64 (.f64 x -2))) 8) 8)
(-.f64 1 (exp.f64 (*.f64 x -2)))
(/.f64 (.f64 2 (+.f64 (exp.f64 (.f64 x -2)) -1)) -2)
(-.f64 1 (exp.f64 (*.f64 x -2)))
(/.f64 (.f64 4 (+.f64 (exp.f64 (.f64 x -2)) -1)) -4)
(-.f64 1 (exp.f64 (*.f64 x -2)))
(/.f64 (.f64 2 (.f64 (-.f64 1 (exp.f64 (*.f64 x -2))) 8)) 16)
(-.f64 1 (exp.f64 (*.f64 x -2)))
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 1 (exp.f64 (.f64 x -2))) 8))) 32)
(-.f64 1 (exp.f64 (*.f64 x -2)))
(/.f64 (.f64 2 (.f64 4 (+.f64 (exp.f64 (*.f64 x -2)) -1))) -8)
(-.f64 1 (exp.f64 (*.f64 x -2)))
(/.f64 (neg.f64 (.f64 4 (+.f64 (exp.f64 (.f64 x -2)) -1))) 4)
(-.f64 1 (exp.f64 (*.f64 x -2)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 (exp.f64 (*.f64 x -2))) 8)))) 64)
(-.f64 1 (exp.f64 (*.f64 x -2)))
(/.f64 (.f64 2 (neg.f64 (.f64 4 (+.f64 (exp.f64 (*.f64 x -2)) -1)))) 8)
(-.f64 1 (exp.f64 (*.f64 x -2)))
(/.f64 (.f64 2 (.f64 2 (.f64 4 (+.f64 (exp.f64 (.f64 x -2)) -1)))) -16)
(-.f64 1 (exp.f64 (*.f64 x -2)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 (exp.f64 (.f64 x -2))) 8))))) 128)
(-.f64 1 (exp.f64 (*.f64 x -2)))
(/.f64 (.f64 2 (.f64 2 (neg.f64 (.f64 4 (+.f64 (exp.f64 (.f64 x -2)) -1))))) 16)
(-.f64 1 (exp.f64 (*.f64 x -2)))
(pow.f64 (-.f64 1 (exp.f64 (*.f64 x -2))) 1)
(-.f64 1 (exp.f64 (*.f64 x -2)))
(neg.f64 (+.f64 (exp.f64 (*.f64 x -2)) -1))
(-.f64 1 (exp.f64 (*.f64 x -2)))
(neg.f64 (+.f64 1 (+.f64 -2 (exp.f64 (*.f64 x -2)))))
(-.f64 1 (exp.f64 (*.f64 x -2)))
(+.f64 (.f64 (-.f64 1 (exp.f64 (.f64 x -2))) (exp.f64 x)) 0)
(.f64 (exp.f64 x) (-.f64 1 (exp.f64 (.f64 x -2))))
(+.f64 0 (.f64 (-.f64 1 (exp.f64 (.f64 x -2))) (exp.f64 x)))
(.f64 (exp.f64 x) (-.f64 1 (exp.f64 (.f64 x -2))))
(+.f64 (.f64 (-.f64 1 (exp.f64 (.f64 x -2))) (.f64 (exp.f64 x) 1/2)) (.f64 (-.f64 1 (exp.f64 (.f64 x -2))) (.f64 (exp.f64 x) 1/2)))
(.f64 (exp.f64 x) (-.f64 1 (exp.f64 (.f64 x -2))))
(-.f64 (.f64 (-.f64 1 (exp.f64 (.f64 x -2))) (exp.f64 x)) 0)
(.f64 (exp.f64 x) (-.f64 1 (exp.f64 (.f64 x -2))))
(/.f64 (.f64 (-.f64 1 (exp.f64 (.f64 x -2))) (exp.f64 x)) 1)
(.f64 (exp.f64 x) (-.f64 1 (exp.f64 (.f64 x -2))))
(/.f64 (.f64 (exp.f64 x) (.f64 (-.f64 1 (exp.f64 (*.f64 x -2))) 2)) 2)
(.f64 (exp.f64 x) (-.f64 1 (exp.f64 (.f64 x -2))))
(/.f64 (.f64 (-.f64 1 (exp.f64 (.f64 x -2))) (*.f64 (exp.f64 x) 4)) 4)
(.f64 (exp.f64 x) (-.f64 1 (exp.f64 (.f64 x -2))))
(/.f64 (.f64 (-.f64 1 (exp.f64 (.f64 x -2))) (*.f64 (exp.f64 x) 8)) 8)
(.f64 (exp.f64 x) (-.f64 1 (exp.f64 (.f64 x -2))))
(/.f64 (.f64 (.f64 (-.f64 1 (exp.f64 (.f64 x -2))) 2) (.f64 (exp.f64 x) 8)) 16)
(.f64 (exp.f64 x) (-.f64 1 (exp.f64 (.f64 x -2))))
(/.f64 (.f64 2 (.f64 (.f64 (-.f64 1 (exp.f64 (.f64 x -2))) 2) (*.f64 (exp.f64 x) 8))) 32)
(.f64 (exp.f64 x) (-.f64 1 (exp.f64 (.f64 x -2))))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 1 (exp.f64 (.f64 x -2))) 2) (.f64 (exp.f64 x) 8)))) 64)
(.f64 (exp.f64 x) (-.f64 1 (exp.f64 (.f64 x -2))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 1 (exp.f64 (.f64 x -2))) 2) (*.f64 (exp.f64 x) 8))))) 128)
(.f64 (exp.f64 x) (-.f64 1 (exp.f64 (.f64 x -2))))
(pow.f64 (.f64 (-.f64 1 (exp.f64 (.f64 x -2))) (exp.f64 x)) 1)
(.f64 (exp.f64 x) (-.f64 1 (exp.f64 (.f64 x -2))))

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 x) (-.f64 1 (exp.f64 (neg.f64 x))))
✓	6.4b	(+.f64 (+.f64 (exp.f64 x) (-.f64 1 (exp.f64 (neg.f64 x)))) -1)
✓	6.8b	(-.f64 1 (exp.f64 (neg.f64 x)))

Compiler

Compiled 47 to 24 computations (48.9% saved)

series1.0ms (0%)

Counts

3 → 32

Calls

9 calls:

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

rewrite86.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1438×	`exponential.json-3`
1438×	`rational.json-1`
1438×	`rational.json-2`
1438×	`rational.json-4`
1438×	`rational.json-3`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	12	71
1	91	71
2	199	65
3	442	63
4	927	63
5	2461	61
6	5766	61

Stop Event

1×	node limit

Counts

3 → 79

Calls

Call 1

Inputs
(-.f64 1 (exp.f64 (neg.f64 x)))
(+.f64 (+.f64 (exp.f64 x) (-.f64 1 (exp.f64 (neg.f64 x)))) -1)
(+.f64 (exp.f64 x) (-.f64 1 (exp.f64 (neg.f64 x))))

Outputs

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

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

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

simplify216.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1538×	`rational.json-simplify-35`
1226×	`rational.json-simplify-51`
946×	`rational.json-simplify-41`
866×	`rational.json-simplify-48`
758×	`rational.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	192	2281
1	407	2281
2	999	2281
3	2359	2281
4	4865	2281
5	6358	2281
6	7450	2281

Stop Event

1×	node limit

Counts

111 → 119

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) x)))
(-.f64 1 (exp.f64 (*.f64 -1 x)))
(-.f64 1 (exp.f64 (*.f64 -1 x)))
(-.f64 1 (exp.f64 (*.f64 -1 x)))
(-.f64 1 (exp.f64 (*.f64 -1 x)))
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/60 (pow.f64 x 5)))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
1
(+.f64 (*.f64 2 x) 1)
(+.f64 (.f64 2 x) (+.f64 1 (.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 2 x) (+.f64 1 (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5)))))
(-.f64 (+.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x)))
(-.f64 (+.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x)))
(-.f64 (+.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x)))
(-.f64 (+.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x)))
(-.f64 (+.f64 1 (exp.f64 x)) (exp.f64 (*.f64 -1 x)))
(-.f64 (+.f64 1 (exp.f64 x)) (exp.f64 (*.f64 -1 x)))
(-.f64 (+.f64 1 (exp.f64 x)) (exp.f64 (*.f64 -1 x)))
(-.f64 (+.f64 1 (exp.f64 x)) (exp.f64 (*.f64 -1 x)))
(+.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 0)
(+.f64 -1 (neg.f64 (+.f64 (exp.f64 (neg.f64 x)) -2)))
(+.f64 0 (-.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 -2 (-.f64 1 (+.f64 (exp.f64 (neg.f64 x)) -2)))
(+.f64 (neg.f64 (+.f64 (exp.f64 (neg.f64 x)) -2)) -1)
(+.f64 (.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 1/2) (.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 1/2))
(*.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
(*.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 1)
(*.f64 -1 (+.f64 (exp.f64 (neg.f64 x)) -1))
(.f64 2 (.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 1/2))
(.f64 (.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 2) 1/2)
(*.f64 4 (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 4))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) -1) -1)
(.f64 (.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 4) 1/4)
(.f64 1/2 (.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 2))
(.f64 (.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 1/2) 2)
(.f64 1/4 (.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 4))
(*.f64 (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 4) 4)
(/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 1)
(/.f64 (*.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 2) 2)
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) -1) -1)
(/.f64 (*.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 4) 4)
(/.f64 (*.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 8) 8)
(/.f64 (*.f64 2 (+.f64 (exp.f64 (neg.f64 x)) -1)) -2)
(/.f64 (.f64 2 (.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 8)) 16)
(/.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) -1) 4) -4)
(/.f64 (neg.f64 (*.f64 2 (+.f64 (exp.f64 (neg.f64 x)) -1))) 2)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 8))) 32)
(/.f64 (.f64 2 (neg.f64 (.f64 2 (+.f64 (exp.f64 (neg.f64 x)) -1)))) 4)
(pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 1)
(neg.f64 (+.f64 (exp.f64 (neg.f64 x)) -1))
(-.f64 (+.f64 (-.f64 1 (exp.f64 (neg.f64 x))) (exp.f64 x)) 1)
(-.f64 (+.f64 (exp.f64 x) (/.f64 -1 (exp.f64 x))) 0)
(-.f64 (+.f64 (+.f64 (exp.f64 x) -1) (neg.f64 (+.f64 (exp.f64 (neg.f64 x)) -2))) 1)
(*.f64 1 (+.f64 (exp.f64 x) (/.f64 -1 (exp.f64 x))))
(*.f64 -1 (+.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 x))))
(*.f64 (+.f64 (exp.f64 x) (/.f64 -1 (exp.f64 x))) 1)
(.f64 2 (.f64 (+.f64 (exp.f64 x) (/.f64 -1 (exp.f64 x))) 1/2))
(.f64 (.f64 (+.f64 (exp.f64 x) (/.f64 -1 (exp.f64 x))) 2) 1/2)
(*.f64 4 (/.f64 (+.f64 (exp.f64 x) (/.f64 -1 (exp.f64 x))) 4))
(.f64 (.f64 (+.f64 (exp.f64 x) (/.f64 -1 (exp.f64 x))) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (exp.f64 x) (/.f64 -1 (exp.f64 x))) 2))
(.f64 (.f64 (+.f64 (exp.f64 x) (/.f64 -1 (exp.f64 x))) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 (exp.f64 x) (/.f64 -1 (exp.f64 x))) 4))
(*.f64 (/.f64 (+.f64 (exp.f64 x) (/.f64 -1 (exp.f64 x))) 4) 4)
(/.f64 (+.f64 (exp.f64 x) (/.f64 -1 (exp.f64 x))) 1)
(/.f64 (*.f64 (+.f64 (exp.f64 x) (/.f64 -1 (exp.f64 x))) 2) 2)
(/.f64 (*.f64 (+.f64 (exp.f64 x) (/.f64 -1 (exp.f64 x))) 4) 4)
(/.f64 (*.f64 (+.f64 (exp.f64 x) (/.f64 -1 (exp.f64 x))) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (exp.f64 x) (/.f64 -1 (exp.f64 x))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (exp.f64 x) (/.f64 -1 (exp.f64 x))) 8))) 32)
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 x))) (*.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 x))))
(/.f64 (+.f64 (neg.f64 (exp.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (neg.f64 (exp.f64 x)) (exp.f64 (neg.f64 x))))
(pow.f64 (+.f64 (exp.f64 x) (/.f64 -1 (exp.f64 x))) 1)
(-.f64 (+.f64 (-.f64 1 (exp.f64 (neg.f64 x))) (exp.f64 x)) 0)
(-.f64 (+.f64 (exp.f64 x) (neg.f64 (+.f64 (exp.f64 (neg.f64 x)) -2))) 1)
(*.f64 1 (+.f64 (-.f64 1 (exp.f64 (neg.f64 x))) (exp.f64 x)))
(*.f64 (+.f64 (-.f64 1 (exp.f64 (neg.f64 x))) (exp.f64 x)) 1)
(*.f64 -1 (+.f64 (neg.f64 (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) -1)))
(*.f64 -1 (+.f64 (+.f64 (exp.f64 (neg.f64 x)) -1) (neg.f64 (exp.f64 x))))
(.f64 2 (.f64 (+.f64 (-.f64 1 (exp.f64 (neg.f64 x))) (exp.f64 x)) 1/2))
(.f64 2 (+.f64 (.f64 (exp.f64 x) 1/2) (*.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 1/2)))
(.f64 2 (+.f64 (.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 1/2) (*.f64 (exp.f64 x) 1/2)))
(*.f64 4 (/.f64 (+.f64 (-.f64 1 (exp.f64 (neg.f64 x))) (exp.f64 x)) 4))
(.f64 (.f64 (+.f64 (-.f64 1 (exp.f64 (neg.f64 x))) (exp.f64 x)) 2) 1/2)
(.f64 (.f64 (+.f64 (-.f64 1 (exp.f64 (neg.f64 x))) (exp.f64 x)) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (-.f64 1 (exp.f64 (neg.f64 x))) (exp.f64 x)) 2))
(.f64 1/2 (+.f64 (.f64 (exp.f64 x) 2) (*.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 2)))
(.f64 1/2 (+.f64 (.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 2) (*.f64 (exp.f64 x) 2)))
(.f64 1/4 (.f64 (+.f64 (-.f64 1 (exp.f64 (neg.f64 x))) (exp.f64 x)) 4))
(.f64 (.f64 (+.f64 (-.f64 1 (exp.f64 (neg.f64 x))) (exp.f64 x)) 1/2) 2)
(*.f64 (/.f64 (+.f64 (-.f64 1 (exp.f64 (neg.f64 x))) (exp.f64 x)) 4) 4)
(/.f64 (+.f64 (-.f64 1 (exp.f64 (neg.f64 x))) (exp.f64 x)) 1)
(/.f64 (*.f64 (+.f64 (-.f64 1 (exp.f64 (neg.f64 x))) (exp.f64 x)) 2) 2)
(/.f64 (*.f64 (+.f64 (-.f64 1 (exp.f64 (neg.f64 x))) (exp.f64 x)) 4) 4)
(/.f64 (*.f64 (+.f64 (-.f64 1 (exp.f64 (neg.f64 x))) (exp.f64 x)) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (-.f64 1 (exp.f64 (neg.f64 x))) (exp.f64 x)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (-.f64 1 (exp.f64 (neg.f64 x))) (exp.f64 x)) 8))) 32)
(pow.f64 (+.f64 (-.f64 1 (exp.f64 (neg.f64 x))) (exp.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 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3))))
(+.f64 x (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 2))))
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) x)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (+.f64 x (.f64 -1/24 (pow.f64 x 4))) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 x (*.f64 -1/24 (pow.f64 x 4)))))
(-.f64 1 (exp.f64 (*.f64 -1 x)))
(-.f64 1 (exp.f64 (neg.f64 x)))
(-.f64 1 (exp.f64 (*.f64 -1 x)))
(-.f64 1 (exp.f64 (neg.f64 x)))
(-.f64 1 (exp.f64 (*.f64 -1 x)))
(-.f64 1 (exp.f64 (neg.f64 x)))
(-.f64 1 (exp.f64 (*.f64 -1 x)))
(-.f64 1 (exp.f64 (neg.f64 x)))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 x 2) (.f64 (pow.f64 x 3) 1/3))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (.f64 x 2) (+.f64 (.f64 (pow.f64 x 3) 1/3) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (.f64 x 2) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/60 (pow.f64 x 5)))))
(+.f64 (.f64 x 2) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 (pow.f64 x 3) 1/3) (.f64 1/60 (pow.f64 x 5)))))
(+.f64 (.f64 x 2) (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/2520 (pow.f64 x 7)))))
(+.f64 (+.f64 (.f64 x 2) (.f64 (pow.f64 x 3) 1/3)) (+.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/2520 (pow.f64 x 7))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
1
(+.f64 (*.f64 2 x) 1)
(+.f64 1 (*.f64 x 2))
(+.f64 (.f64 2 x) (+.f64 1 (.f64 1/3 (pow.f64 x 3))))
(+.f64 1 (+.f64 (.f64 x 2) (.f64 (pow.f64 x 3) 1/3)))
(+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 1 (.f64 x 2)))
(+.f64 (.f64 2 x) (+.f64 1 (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5)))))
(+.f64 (.f64 x 2) (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (*.f64 1/60 (pow.f64 x 5)) 1)))
(+.f64 (.f64 x 2) (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 1 (*.f64 1/60 (pow.f64 x 5)))))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 1 (*.f64 x 2))))
(+.f64 1 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (.f64 x 2) (*.f64 1/60 (pow.f64 x 5)))))
(-.f64 (+.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (-.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (+.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (-.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (+.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (-.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (+.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (-.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (+.f64 1 (exp.f64 x)) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (-.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (+.f64 1 (exp.f64 x)) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (-.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (+.f64 1 (exp.f64 x)) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (-.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (+.f64 1 (exp.f64 x)) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (-.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 0)
(-.f64 1 (exp.f64 (neg.f64 x)))
(+.f64 -1 (neg.f64 (+.f64 (exp.f64 (neg.f64 x)) -2)))
(-.f64 1 (exp.f64 (neg.f64 x)))
(+.f64 0 (-.f64 1 (exp.f64 (neg.f64 x))))
(-.f64 1 (exp.f64 (neg.f64 x)))
(+.f64 -2 (-.f64 1 (+.f64 (exp.f64 (neg.f64 x)) -2)))
(-.f64 1 (exp.f64 (neg.f64 x)))
(+.f64 (neg.f64 (+.f64 (exp.f64 (neg.f64 x)) -2)) -1)
(-.f64 1 (exp.f64 (neg.f64 x)))
(+.f64 (.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 1/2) (.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 1/2))
(-.f64 1 (exp.f64 (neg.f64 x)))
(*.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
(-.f64 1 (exp.f64 (neg.f64 x)))
(*.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 1)
(-.f64 1 (exp.f64 (neg.f64 x)))
(*.f64 -1 (+.f64 (exp.f64 (neg.f64 x)) -1))
(-.f64 1 (exp.f64 (neg.f64 x)))
(.f64 2 (.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 1/2))
(-.f64 1 (exp.f64 (neg.f64 x)))
(.f64 (.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 2) 1/2)
(-.f64 1 (exp.f64 (neg.f64 x)))
(*.f64 4 (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 4))
(-.f64 1 (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) -1) -1)
(-.f64 1 (exp.f64 (neg.f64 x)))
(.f64 (.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 4) 1/4)
(-.f64 1 (exp.f64 (neg.f64 x)))
(.f64 1/2 (.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 2))
(-.f64 1 (exp.f64 (neg.f64 x)))
(.f64 (.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 1/2) 2)
(-.f64 1 (exp.f64 (neg.f64 x)))
(.f64 1/4 (.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 4))
(-.f64 1 (exp.f64 (neg.f64 x)))
(*.f64 (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 4) 4)
(-.f64 1 (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 1)
(-.f64 1 (exp.f64 (neg.f64 x)))
(/.f64 (*.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 2) 2)
(-.f64 1 (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) -1) -1)
(-.f64 1 (exp.f64 (neg.f64 x)))
(/.f64 (*.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 4) 4)
(-.f64 1 (exp.f64 (neg.f64 x)))
(/.f64 (*.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 8) 8)
(-.f64 1 (exp.f64 (neg.f64 x)))
(/.f64 (*.f64 2 (+.f64 (exp.f64 (neg.f64 x)) -1)) -2)
(-.f64 1 (exp.f64 (neg.f64 x)))
(/.f64 (.f64 2 (.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 8)) 16)
(-.f64 1 (exp.f64 (neg.f64 x)))
(/.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) -1) 4) -4)
(-.f64 1 (exp.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 2 (+.f64 (exp.f64 (neg.f64 x)) -1))) 2)
(-.f64 1 (exp.f64 (neg.f64 x)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 8))) 32)
(-.f64 1 (exp.f64 (neg.f64 x)))
(/.f64 (.f64 2 (neg.f64 (.f64 2 (+.f64 (exp.f64 (neg.f64 x)) -1)))) 4)
(-.f64 1 (exp.f64 (neg.f64 x)))
(pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 1)
(-.f64 1 (exp.f64 (neg.f64 x)))
(neg.f64 (+.f64 (exp.f64 (neg.f64 x)) -1))
(-.f64 1 (exp.f64 (neg.f64 x)))
(-.f64 (+.f64 (-.f64 1 (exp.f64 (neg.f64 x))) (exp.f64 x)) 1)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (+.f64 (exp.f64 x) (/.f64 -1 (exp.f64 x))) 0)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (+.f64 (+.f64 (exp.f64 x) -1) (neg.f64 (+.f64 (exp.f64 (neg.f64 x)) -2))) 1)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 1 (+.f64 (exp.f64 x) (/.f64 -1 (exp.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 -1 (+.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 (exp.f64 x) (/.f64 -1 (exp.f64 x))) 1)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(.f64 2 (.f64 (+.f64 (exp.f64 x) (/.f64 -1 (exp.f64 x))) 1/2))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(.f64 (.f64 (+.f64 (exp.f64 x) (/.f64 -1 (exp.f64 x))) 2) 1/2)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 4 (/.f64 (+.f64 (exp.f64 x) (/.f64 -1 (exp.f64 x))) 4))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(.f64 (.f64 (+.f64 (exp.f64 x) (/.f64 -1 (exp.f64 x))) 4) 1/4)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(.f64 1/2 (.f64 (+.f64 (exp.f64 x) (/.f64 -1 (exp.f64 x))) 2))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(.f64 (.f64 (+.f64 (exp.f64 x) (/.f64 -1 (exp.f64 x))) 1/2) 2)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(.f64 1/4 (.f64 (+.f64 (exp.f64 x) (/.f64 -1 (exp.f64 x))) 4))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 (/.f64 (+.f64 (exp.f64 x) (/.f64 -1 (exp.f64 x))) 4) 4)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 (exp.f64 x) (/.f64 -1 (exp.f64 x))) 1)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (*.f64 (+.f64 (exp.f64 x) (/.f64 -1 (exp.f64 x))) 2) 2)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (*.f64 (+.f64 (exp.f64 x) (/.f64 -1 (exp.f64 x))) 4) 4)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (*.f64 (+.f64 (exp.f64 x) (/.f64 -1 (exp.f64 x))) 8) 8)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (.f64 2 (.f64 (+.f64 (exp.f64 x) (/.f64 -1 (exp.f64 x))) 8)) 16)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (exp.f64 x) (/.f64 -1 (exp.f64 x))) 8))) 32)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 x))) (*.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 (neg.f64 (exp.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (neg.f64 (exp.f64 x)) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(pow.f64 (+.f64 (exp.f64 x) (/.f64 -1 (exp.f64 x))) 1)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (+.f64 (-.f64 1 (exp.f64 (neg.f64 x))) (exp.f64 x)) 0)
(+.f64 (exp.f64 x) (-.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (+.f64 (exp.f64 x) (neg.f64 (+.f64 (exp.f64 (neg.f64 x)) -2))) 1)
(+.f64 (exp.f64 x) (-.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 1 (+.f64 (-.f64 1 (exp.f64 (neg.f64 x))) (exp.f64 x)))
(+.f64 (exp.f64 x) (-.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (+.f64 (-.f64 1 (exp.f64 (neg.f64 x))) (exp.f64 x)) 1)
(+.f64 (exp.f64 x) (-.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 -1 (+.f64 (neg.f64 (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) -1)))
(+.f64 (exp.f64 x) (-.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 -1 (+.f64 (+.f64 (exp.f64 (neg.f64 x)) -1) (neg.f64 (exp.f64 x))))
(+.f64 (exp.f64 x) (-.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(.f64 2 (.f64 (+.f64 (-.f64 1 (exp.f64 (neg.f64 x))) (exp.f64 x)) 1/2))
(+.f64 (exp.f64 x) (-.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(.f64 2 (+.f64 (.f64 (exp.f64 x) 1/2) (*.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 1/2)))
(+.f64 (exp.f64 x) (-.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(.f64 2 (+.f64 (.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 1/2) (*.f64 (exp.f64 x) 1/2)))
(+.f64 (exp.f64 x) (-.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 4 (/.f64 (+.f64 (-.f64 1 (exp.f64 (neg.f64 x))) (exp.f64 x)) 4))
(+.f64 (exp.f64 x) (-.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(.f64 (.f64 (+.f64 (-.f64 1 (exp.f64 (neg.f64 x))) (exp.f64 x)) 2) 1/2)
(+.f64 (exp.f64 x) (-.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(.f64 (.f64 (+.f64 (-.f64 1 (exp.f64 (neg.f64 x))) (exp.f64 x)) 4) 1/4)
(+.f64 (exp.f64 x) (-.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(.f64 1/2 (.f64 (+.f64 (-.f64 1 (exp.f64 (neg.f64 x))) (exp.f64 x)) 2))
(+.f64 (exp.f64 x) (-.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(.f64 1/2 (+.f64 (.f64 (exp.f64 x) 2) (*.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 2)))
(+.f64 (exp.f64 x) (-.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(.f64 1/2 (+.f64 (.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 2) (*.f64 (exp.f64 x) 2)))
(+.f64 (exp.f64 x) (-.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(.f64 1/4 (.f64 (+.f64 (-.f64 1 (exp.f64 (neg.f64 x))) (exp.f64 x)) 4))
(+.f64 (exp.f64 x) (-.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(.f64 (.f64 (+.f64 (-.f64 1 (exp.f64 (neg.f64 x))) (exp.f64 x)) 1/2) 2)
(+.f64 (exp.f64 x) (-.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 (+.f64 (-.f64 1 (exp.f64 (neg.f64 x))) (exp.f64 x)) 4) 4)
(+.f64 (exp.f64 x) (-.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (+.f64 (-.f64 1 (exp.f64 (neg.f64 x))) (exp.f64 x)) 1)
(+.f64 (exp.f64 x) (-.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (*.f64 (+.f64 (-.f64 1 (exp.f64 (neg.f64 x))) (exp.f64 x)) 2) 2)
(+.f64 (exp.f64 x) (-.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (*.f64 (+.f64 (-.f64 1 (exp.f64 (neg.f64 x))) (exp.f64 x)) 4) 4)
(+.f64 (exp.f64 x) (-.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (*.f64 (+.f64 (-.f64 1 (exp.f64 (neg.f64 x))) (exp.f64 x)) 8) 8)
(+.f64 (exp.f64 x) (-.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (.f64 2 (.f64 (+.f64 (-.f64 1 (exp.f64 (neg.f64 x))) (exp.f64 x)) 8)) 16)
(+.f64 (exp.f64 x) (-.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (-.f64 1 (exp.f64 (neg.f64 x))) (exp.f64 x)) 8))) 32)
(+.f64 (exp.f64 x) (-.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(pow.f64 (+.f64 (-.f64 1 (exp.f64 (neg.f64 x))) (exp.f64 x)) 1)
(+.f64 (exp.f64 x) (-.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

eval232.0ms (1.4%)

Compiler: Compiled 5579 to 4380 computations (21.5% saved)

prune45.0ms (0.3%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	290	3	293
Fresh	1	0	1
Picked	0	1	1
Done	0	5	5
Total	291	9	300

Error

0.0b

Counts

300 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	59.1b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
▶	59.4b	(/.f64 (+.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 1 (.f64 x 2))) -1) 2)
✓	0.2b	(/.f64 (+.f64 (+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3))) (+.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/2520 (pow.f64 x 7)))) 2)
▶	59.6b	(/.f64 (+.f64 (+.f64 (*.f64 2 x) 1) -1) 2)
✓	59.1b	(/.f64 (+.f64 (+.f64 (exp.f64 x) (-.f64 1 (exp.f64 (neg.f64 x)))) -1) 2)
▶	0.2b	(/.f64 (+.f64 (.f64 x 2) (+.f64 (.f64 (pow.f64 x 3) 1/3) (*.f64 1/60 (pow.f64 x 5)))) 2)
✓	0.3b	(/.f64 (+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3))) 2)
✓	59.1b	(/.f64 (.f64 (-.f64 1 (exp.f64 (.f64 x -2))) (exp.f64 x)) 2)
✓	0.7b	(/.f64 (*.f64 2 x) 2)

Compiler

Compiled 120 to 101 computations (15.8% saved)

localize81.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 x 2) (+.f64 (.f64 (pow.f64 x 3) 1/3) (*.f64 1/60 (pow.f64 x 5))))
✓	0.0b	(+.f64 (.f64 (pow.f64 x 3) 1/3) (.f64 1/60 (pow.f64 x 5)))
	0.1b	(*.f64 1/60 (pow.f64 x 5))
✓	0.2b	(*.f64 (pow.f64 x 3) 1/3)

Compiler

Compiled 69 to 55 computations (20.3% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+.f64 (.f64 (pow.f64 x 3) 1/3) (.f64 1/60 (pow.f64 x 5)))
0.0ms	x	@	inf	(+.f64 (.f64 x 2) (+.f64 (.f64 (pow.f64 x 3) 1/3) (*.f64 1/60 (pow.f64 x 5))))
0.0ms	x	@	0	(+.f64 (.f64 x 2) (+.f64 (.f64 (pow.f64 x 3) 1/3) (*.f64 1/60 (pow.f64 x 5))))
0.0ms	x	@	-inf	(+.f64 (.f64 x 2) (+.f64 (.f64 (pow.f64 x 3) 1/3) (*.f64 1/60 (pow.f64 x 5))))
0.0ms	x	@	0	(*.f64 (pow.f64 x 3) 1/3)

rewrite200.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2338×	`rational.json-simplify-2`
1806×	`rational.json-simplify-1`
1516×	`rational.json-simplify-35`
1310×	`exponential.json-3`
1310×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	87
1	99	87
2	184	87
3	350	87
4	719	87
5	1903	87
6	3630	87
7	4558	87
8	5985	87
9	6951	87
10	6951	87
11	7468	87

Stop Event

1×	node limit

Counts

3 → 53

Calls

Call 1

Inputs
(*.f64 (pow.f64 x 3) 1/3)
(+.f64 (.f64 (pow.f64 x 3) 1/3) (.f64 1/60 (pow.f64 x 5)))
(+.f64 (.f64 x 2) (+.f64 (.f64 (pow.f64 x 3) 1/3) (*.f64 1/60 (pow.f64 x 5))))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 1/60 (pow.f64 x 5))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 1/60 (pow.f64 x 5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 1/60 (pow.f64 x 5))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 1/60 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 1/60 (pow.f64 x 5))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 1/60 (pow.f64 x 5))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 1/60 (pow.f64 x 5))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 1/60 (pow.f64 x 5))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 1/60 (pow.f64 x 5))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 1/60 (pow.f64 x 5))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 1/60 (pow.f64 x 5))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 1/60 (pow.f64 x 5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 1/60 (pow.f64 x 5))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 1/60 (pow.f64 x 5))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 1/60 (pow.f64 x 5))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 1/60 (pow.f64 x 5))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 1/60 (pow.f64 x 5))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 1/60 (pow.f64 x 5))) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 1/60 (pow.f64 x 5))) 4)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 1/60 (pow.f64 x 5))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 x (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 1/60 (pow.f64 x 5))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 x x)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 x x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 x x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 1/60 (pow.f64 x 5))) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 x x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 x x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 x x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 x x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 x x))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 x x))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 x x))) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 x x))) 4)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 x x))) 1)))))

simplify632.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

3642×	`rational.json-simplify-1`
2570×	`rational.json-simplify-35`
2432×	`rational.json-simplify-41`
1438×	`rational.json-simplify-2`
1222×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	2501
1	259	2501
2	637	2501
3	1855	2501
4	3449	2501
5	4064	2501
6	4210	2501
7	4337	2501
8	4431	2501
9	6398	2501
10	6504	2501
11	6651	2501
12	6748	2501
13	6847	2501
14	6853	2501
15	6858	2501
16	6862	2501
17	6862	2501
18	6951	2501
19	7040	2501
20	7129	2501
21	7218	2501
22	7307	2501

Stop Event

1×	node limit

Counts

89 → 66

Calls

Call 1

Inputs
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
(*.f64 1/60 (pow.f64 x 5))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
(*.f64 1/60 (pow.f64 x 5))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(*.f64 1/60 (pow.f64 x 5))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(*.f64 1/60 (pow.f64 x 5))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (*.f64 (pow.f64 x 3) 1/3) 0)
(+.f64 0 (*.f64 (pow.f64 x 3) 1/3))
(+.f64 (.f64 (pow.f64 x 3) 1/6) (.f64 (pow.f64 x 3) 1/6))
(-.f64 (*.f64 (pow.f64 x 3) 1/3) 0)
(/.f64 (*.f64 (pow.f64 x 3) 1/3) 1)
(/.f64 (*.f64 (pow.f64 x 3) 2/3) 2)
(/.f64 (*.f64 (pow.f64 x 3) 4/3) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 x 3) 4/3)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 3) 4/3))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 4/3)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 3) 4/3))))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 4/3)))))) 128)
(pow.f64 (*.f64 (pow.f64 x 3) 1/3) 1)
(-.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (.f64 1/60 (pow.f64 x 5))) 0)
(.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (*.f64 1/60 (pow.f64 x 5))) 1)
(.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (.f64 1/60 (pow.f64 x 5))) 1/2))
(.f64 1 (+.f64 (.f64 (pow.f64 x 3) 1/3) (*.f64 1/60 (pow.f64 x 5))))
(.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (.f64 1/60 (pow.f64 x 5))) 2) 1/2)
(.f64 4 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (*.f64 1/60 (pow.f64 x 5))) 4))
(.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (.f64 1/60 (pow.f64 x 5))) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (.f64 1/60 (pow.f64 x 5))) 2))
(.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (.f64 1/60 (pow.f64 x 5))) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (.f64 1/60 (pow.f64 x 5))) 4))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (*.f64 1/60 (pow.f64 x 5))) 4) 4)
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (.f64 1/60 (pow.f64 x 5))) 1)
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (*.f64 1/60 (pow.f64 x 5))) 2) 2)
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (*.f64 1/60 (pow.f64 x 5))) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (.f64 1/60 (pow.f64 x 5))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (*.f64 1/60 (pow.f64 x 5))) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (.f64 1/60 (pow.f64 x 5))) 4)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (*.f64 1/60 (pow.f64 x 5))) 4))))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (.f64 1/60 (pow.f64 x 5))) 4)))))) 128)
(pow.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (.f64 1/60 (pow.f64 x 5))) 1)
(-.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 x x))) 0)
(.f64 2 (+.f64 x (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (.f64 1/60 (pow.f64 x 5))) 1/2)))
(.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 x x))) 1)
(.f64 1 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 x x))))
(.f64 (.f64 2 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 x x)))) 1/2)
(.f64 4 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 x x))) 4))
(.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 x x))) 4) 1/4)
(.f64 1/2 (.f64 2 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 x x)))))
(.f64 (+.f64 x (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (.f64 1/60 (pow.f64 x 5))) 1/2)) 2)
(.f64 1/4 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 x x))) 4))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 x x))) 4) 4)
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 x x))) 1)
(/.f64 (.f64 2 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 x x)))) 2)
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 x x))) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 x x))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 x x))) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 x x))) 4)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 x x))) 4))))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 x x))) 4)))))) 128)
(pow.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 x x))) 1)

Outputs
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3)))
(*.f64 1/60 (pow.f64 x 5))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3)))
(*.f64 1/60 (pow.f64 x 5))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3)))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 x 2) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (.f64 x 2) (+.f64 (.f64 1/60 (pow.f64 x 5)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 x 2) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (.f64 x 2) (+.f64 (.f64 1/60 (pow.f64 x 5)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 x 2) (*.f64 1/3 (pow.f64 x 3))))
(*.f64 1/60 (pow.f64 x 5))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (.f64 x 2) (+.f64 (.f64 1/60 (pow.f64 x 5)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 x 2) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (.f64 x 2) (+.f64 (.f64 1/60 (pow.f64 x 5)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 x 2) (*.f64 1/3 (pow.f64 x 3))))
(*.f64 1/60 (pow.f64 x 5))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (.f64 x 2) (+.f64 (.f64 1/60 (pow.f64 x 5)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 x 2) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (.f64 x 2) (+.f64 (.f64 1/60 (pow.f64 x 5)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 x 2) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 (*.f64 (pow.f64 x 3) 1/3) 0)
(*.f64 1/3 (pow.f64 x 3))
(+.f64 0 (*.f64 (pow.f64 x 3) 1/3))
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (.f64 (pow.f64 x 3) 1/6) (.f64 (pow.f64 x 3) 1/6))
(*.f64 1/3 (pow.f64 x 3))
(-.f64 (*.f64 (pow.f64 x 3) 1/3) 0)
(*.f64 1/3 (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 x 3) 1/3) 1)
(*.f64 1/3 (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 x 3) 2/3) 2)
(*.f64 1/3 (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 x 3) 4/3) 4)
(*.f64 1/3 (pow.f64 x 3))
(/.f64 (.f64 2 (.f64 (pow.f64 x 3) 4/3)) 8)
(*.f64 1/3 (pow.f64 x 3))
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 3) 4/3))) 16)
(*.f64 1/3 (pow.f64 x 3))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 4/3)))) 32)
(*.f64 1/3 (pow.f64 x 3))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 3) 4/3))))) 64)
(*.f64 1/3 (pow.f64 x 3))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 4/3)))))) 128)
(*.f64 1/3 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3) 1/3) 1)
(*.f64 1/3 (pow.f64 x 3))
(-.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (.f64 1/60 (pow.f64 x 5))) 0)
(+.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3)))
(.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (*.f64 1/60 (pow.f64 x 5))) 1)
(+.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3)))
(.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (.f64 1/60 (pow.f64 x 5))) 1/2))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3)))
(.f64 1 (+.f64 (.f64 (pow.f64 x 3) 1/3) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3)))
(.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (.f64 1/60 (pow.f64 x 5))) 2) 1/2)
(+.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3)))
(.f64 4 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (*.f64 1/60 (pow.f64 x 5))) 4))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3)))
(.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (.f64 1/60 (pow.f64 x 5))) 4) 1/4)
(+.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3)))
(.f64 1/2 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (.f64 1/60 (pow.f64 x 5))) 2))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3)))
(.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (.f64 1/60 (pow.f64 x 5))) 1/2) 2)
(+.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3)))
(.f64 1/4 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (.f64 1/60 (pow.f64 x 5))) 4))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3)))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (*.f64 1/60 (pow.f64 x 5))) 4) 4)
(+.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3)))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (.f64 1/60 (pow.f64 x 5))) 1)
(+.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3)))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (*.f64 1/60 (pow.f64 x 5))) 2) 2)
(+.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3)))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (*.f64 1/60 (pow.f64 x 5))) 4) 4)
(+.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3)))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (.f64 1/60 (pow.f64 x 5))) 4)) 8)
(+.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3)))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (*.f64 1/60 (pow.f64 x 5))) 4))) 16)
(+.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (.f64 1/60 (pow.f64 x 5))) 4)))) 32)
(+.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (*.f64 1/60 (pow.f64 x 5))) 4))))) 64)
(+.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (.f64 1/60 (pow.f64 x 5))) 4)))))) 128)
(+.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3)))
(pow.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (.f64 1/60 (pow.f64 x 5))) 1)
(+.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 x x))) 0)
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (+.f64 x x) (.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))
(.f64 2 (+.f64 x (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (.f64 1/60 (pow.f64 x 5))) 1/2)))
(+.f64 (.f64 x 2) (+.f64 (.f64 1/60 (pow.f64 x 5)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 x 2) (*.f64 1/3 (pow.f64 x 3))))
(.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 x x))) 1)
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (+.f64 x x) (.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))
(.f64 1 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 x x))))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (+.f64 x x) (.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))
(.f64 (.f64 2 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 x x)))) 1/2)
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (+.f64 x x) (.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))
(.f64 4 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 x x))) 4))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (+.f64 x x) (.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))
(.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 x x))) 4) 1/4)
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (+.f64 x x) (.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))
(.f64 1/2 (.f64 2 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 x x)))))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (+.f64 x x) (.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))
(.f64 (+.f64 x (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (.f64 1/60 (pow.f64 x 5))) 1/2)) 2)
(+.f64 (.f64 x 2) (+.f64 (.f64 1/60 (pow.f64 x 5)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 x 2) (*.f64 1/3 (pow.f64 x 3))))
(.f64 1/4 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 x x))) 4))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (+.f64 x x) (.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 x x))) 4) 4)
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (+.f64 x x) (.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 x x))) 1)
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (+.f64 x x) (.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))
(/.f64 (.f64 2 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 x x)))) 2)
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (+.f64 x x) (.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 x x))) 4) 4)
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (+.f64 x x) (.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 x x))) 4)) 8)
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (+.f64 x x) (.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 x x))) 4))) 16)
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (+.f64 x x) (.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 x x))) 4)))) 32)
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (+.f64 x x) (.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 x x))) 4))))) 64)
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (+.f64 x x) (.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 x x))) 4)))))) 128)
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (+.f64 x x) (.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))
(pow.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 x x))) 1)
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (+.f64 x x) (.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x x)))

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.9b	(+.f64 (+.f64 (*.f64 2 x) 1) -1)

Compiler

Compiled 29 to 24 computations (17.2% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite197.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2120×	`rational.json-simplify-2`
1810×	`rational.json-simplify-1`
1520×	`rational.json-simplify-35`
1168×	`exponential.json-3`
1168×	`rational.json-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	70	7
2	146	7
3	269	7
4	531	7
5	1344	7
6	2846	7
7	4150	7
8	4966	7
9	6001	7
10	6750	7
11	6904	7
12	6904	7

Stop Event

1×	node limit

Counts

1 → 27

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (+.f64 x -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (*.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 8) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 16) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 x 16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 8) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 16) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 x 16)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 x 16))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 x 16)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 x 16))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 x 16)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x x) 1)))))

simplify482.0ms (3%)

Algorithm

1×	egg-herbie

Rules

3202×	`rational.json-simplify-48`
2516×	`rational.json-simplify-51`
1920×	`rational.json-simplify-1`
1250×	`rational.json-simplify-35`
870×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	273
1	135	273
2	224	273
3	467	273
4	1654	273
5	2634	273
6	3169	273
7	3388	273
8	3700	273
9	3786	273
10	3869	273
11	3952	273
12	4041	273
13	4312	273
14	4930	273
15	5315	273
16	5401	273
17	5487	273
18	5578	273
19	5632	273
20	7553	273
21	7684	273
22	7710	273
23	7736	273
24	7799	273

Stop Event

1×	node limit

Counts

39 → 28

Calls

Call 1

Inputs
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(-.f64 (+.f64 x x) 0)
(-.f64 (+.f64 x (+.f64 x 1)) 1)
(-.f64 (+.f64 x (+.f64 x -1)) -1)
(*.f64 2 x)
(*.f64 x 2)
(*.f64 (+.f64 x x) 1)
(*.f64 1 (+.f64 x x))
(.f64 4 (.f64 x 1/2))
(.f64 (.f64 x 4) 1/2)
(.f64 8 (.f64 x 1/4))
(.f64 (.f64 x 8) 1/4)
(.f64 1/2 (.f64 x 4))
(.f64 (.f64 x 16) 1/8)
(.f64 1/4 (.f64 x 8))
(.f64 (.f64 x 1/2) 4)
(.f64 (.f64 x 1/4) 8)
(.f64 1/8 (.f64 x 16))
(/.f64 (+.f64 x x) 1)
(/.f64 (*.f64 x 4) 2)
(/.f64 (*.f64 x 8) 4)
(/.f64 (*.f64 x 16) 8)
(/.f64 (.f64 2 (.f64 x 16)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 x 16))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 x 16)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 x 16))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 x 16)))))) 256)
(pow.f64 (+.f64 x x) 1)

Outputs
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(-.f64 (+.f64 x x) 0)
(*.f64 2 x)
(+.f64 x x)
(-.f64 (+.f64 x (+.f64 x 1)) 1)
(*.f64 2 x)
(+.f64 x x)
(-.f64 (+.f64 x (+.f64 x -1)) -1)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 x 2)
(*.f64 2 x)
(+.f64 x x)
(*.f64 (+.f64 x x) 1)
(*.f64 2 x)
(+.f64 x x)
(*.f64 1 (+.f64 x x))
(*.f64 2 x)
(+.f64 x x)
(.f64 4 (.f64 x 1/2))
(*.f64 2 x)
(+.f64 x x)
(.f64 (.f64 x 4) 1/2)
(*.f64 2 x)
(+.f64 x x)
(.f64 8 (.f64 x 1/4))
(*.f64 2 x)
(+.f64 x x)
(.f64 (.f64 x 8) 1/4)
(*.f64 2 x)
(+.f64 x x)
(.f64 1/2 (.f64 x 4))
(*.f64 2 x)
(+.f64 x x)
(.f64 (.f64 x 16) 1/8)
(*.f64 2 x)
(+.f64 x x)
(.f64 1/4 (.f64 x 8))
(*.f64 2 x)
(+.f64 x x)
(.f64 (.f64 x 1/2) 4)
(*.f64 2 x)
(+.f64 x x)
(.f64 (.f64 x 1/4) 8)
(*.f64 2 x)
(+.f64 x x)
(.f64 1/8 (.f64 x 16))
(*.f64 2 x)
(+.f64 x x)
(/.f64 (+.f64 x x) 1)
(*.f64 2 x)
(+.f64 x x)
(/.f64 (*.f64 x 4) 2)
(*.f64 2 x)
(+.f64 x x)
(/.f64 (*.f64 x 8) 4)
(*.f64 2 x)
(+.f64 x x)
(/.f64 (*.f64 x 16) 8)
(*.f64 2 x)
(+.f64 x x)
(/.f64 (.f64 2 (.f64 x 16)) 16)
(*.f64 2 x)
(+.f64 x x)
(/.f64 (.f64 2 (.f64 2 (*.f64 x 16))) 32)
(*.f64 2 x)
(+.f64 x x)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 x 16)))) 64)
(*.f64 2 x)
(+.f64 x x)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 x 16))))) 128)
(*.f64 2 x)
(+.f64 x x)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 x 16)))))) 256)
(*.f64 2 x)
(+.f64 x x)
(pow.f64 (+.f64 x x) 1)
(*.f64 2 x)
(+.f64 x x)

localize23.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (pow.f64 x 3) 1/3)
✓	6.9b	(+.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 1 (.f64 x 2))) -1)

Compiler

Compiled 62 to 51 computations (17.7% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

inf

(+.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 1 (*.f64 x 2))) -1)

0.0ms

(+.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 1 (*.f64 x 2))) -1)

0.0ms

-inf

(+.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 1 (*.f64 x 2))) -1)

rewrite189.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2280×	`rational.json-simplify-2`
1918×	`rational.json-simplify-1`
1532×	`rational.json-simplify-35`
1306×	`exponential.json-3`
1306×	`rational.json-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	37
1	105	25
2	217	25
3	448	25
4	1098	25
5	2456	25
6	3742	25
7	5177	25
8	6276	25
9	7209	25
10	7328	25
11	7328	25

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

Inputs
(+.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 1 (.f64 x 2))) -1)

Outputs

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

simplify518.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

2810×	`rational.json-simplify-51`
2656×	`rational.json-simplify-2`
1404×	`rational.json-simplify-1`
1190×	`rational.json-simplify-35`
818×	`rational.json-simplify-48`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	74	1208
1	166	1196
2	315	1064
3	827	932
4	2680	932
5	3876	932
6	4223	932
7	4561	932
8	4796	932
9	4886	932
10	4974	932
11	5314	932
12	5403	932
13	5489	932
14	5709	932
15	5817	932
16	5888	932
17	5939	932
18	5970	932
19	6001	932
20	6032	932
21	7324	932

Stop Event

1×	node limit

Counts

38 → 35

Calls

Call 1

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

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

eval53.0ms (0.3%)

Compiler: Compiled 2657 to 2221 computations (16.4% saved)

prune23.0ms (0.1%)

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	156	2	158
Fresh	0	0	0
Picked	1	0	1
Done	0	8	8
Total	157	10	167

Error

0.0b

Counts

167 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	59.4b	(/.f64 (-.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 x (+.f64 x 1))) 1) 2)
▶	59.6b	(/.f64 (-.f64 (+.f64 x (+.f64 x 1)) 1) 2)
✓	59.1b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
✓	0.2b	(/.f64 (+.f64 (+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3))) (+.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/2520 (pow.f64 x 7)))) 2)
✓	59.6b	(/.f64 (+.f64 (+.f64 (*.f64 2 x) 1) -1) 2)
✓	59.1b	(/.f64 (+.f64 (+.f64 (exp.f64 x) (-.f64 1 (exp.f64 (neg.f64 x)))) -1) 2)
✓	0.2b	(/.f64 (+.f64 (.f64 x 2) (+.f64 (.f64 (pow.f64 x 3) 1/3) (*.f64 1/60 (pow.f64 x 5)))) 2)
✓	0.3b	(/.f64 (+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3))) 2)
✓	59.1b	(/.f64 (.f64 (-.f64 1 (exp.f64 (.f64 x -2))) (exp.f64 x)) 2)
✓	0.7b	(/.f64 (*.f64 2 x) 2)

Compiler

Compiled 130 to 108 computations (16.9% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (+.f64 x 1))
✓	6.4b	(-.f64 (+.f64 x (+.f64 x 1)) 1)

Compiler

Compiled 28 to 20 computations (28.6% saved)

series0.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite272.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2354×	`rational.json-simplify-35`
1896×	`rational.json-simplify-2`
1510×	`rational.json-simplify-1`
1272×	`rational.json-1`
1272×	`rational.json-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	32
1	60	32
2	151	20
3	302	20
4	665	20
5	1251	20
6	2360	20
7	3701	20
8	4422	20
9	5283	20
10	5864	20
11	5954	20
12	6044	20
13	6671	20
14	7045	20
15	7622	20

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (+.f64 x x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (+.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -1) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (+.f64 x (+.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (+.f64 x 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (+.f64 x -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 x x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 2) (+.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -2) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (+.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (*.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x 1) 1/2) (+.f64 x (*.f64 (+.f64 x -1) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 3/2) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 (+.f64 x -1) 1/2)) (*.f64 (+.f64 x 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (*.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 8) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (+.f64 x (+.f64 x 2)) (+.f64 x (+.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 16) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 x 16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 x (+.f64 x 2)) (+.f64 x (+.f64 x -2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 8) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 16) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 x 16)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 x 16))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 x 16)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 x 16))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 x 16)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 x 16)))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 x 16))))))) 512)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x x) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (+.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (+.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 1 (+.f64 x x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (*.f64 x 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (+.f64 1 (+.f64 x x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (+.f64 x x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 2 (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (+.f64 x x)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (+.f64 x x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 1 (+.f64 x x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (+.f64 (*.f64 x 4) (*.f64 (+.f64 x 1) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (+.f64 1 (+.f64 x x)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (+.f64 x x)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x 4) (*.f64 (+.f64 x 1) 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (+.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 2 (*.f64 x 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (+.f64 x x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (+.f64 x x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 1 (+.f64 x x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1 (+.f64 x x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1 (+.f64 x x)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1 (+.f64 x x)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1 (+.f64 x x)) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1 (+.f64 x x)) 8)))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1 (+.f64 x x)) 8))))))) 512)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (+.f64 x x)) 1)))))

simplify380.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

2888×	`rational.json-simplify-51`
1916×	`rational.json-simplify-35`
1750×	`rational.json-simplify-1`
1176×	`rational.json-simplify-2`
620×	`rational.json-simplify-48`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	902
1	285	902
2	687	902
3	2151	902
4	3876	902
5	4731	902
6	5032	902
7	5162	902
8	5277	902
9	5405	902
10	5534	902
11	5664	902
12	5941	902
13	6098	902
14	6254	902
15	6410	902
16	6529	902
17	6557	902
18	6557	902

Stop Event

1×	node limit

Counts

98 → 78

Calls

Call 1

Inputs
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
1
(+.f64 (*.f64 2 x) 1)
(+.f64 (*.f64 2 x) 1)
(+.f64 (*.f64 2 x) 1)
(*.f64 2 x)
(+.f64 1 (*.f64 2 x))
(+.f64 1 (*.f64 2 x))
(+.f64 1 (*.f64 2 x))
(*.f64 2 x)
(+.f64 1 (*.f64 2 x))
(+.f64 1 (*.f64 2 x))
(+.f64 1 (*.f64 2 x))
(+.f64 x x)
(+.f64 1 (+.f64 (+.f64 x x) -1))
(+.f64 (+.f64 x 1) (+.f64 x -1))
(+.f64 (+.f64 1 (+.f64 x x)) -1)
(+.f64 (+.f64 x x) 0)
(+.f64 0 (+.f64 x x))
(+.f64 -1 (+.f64 1 (+.f64 x x)))
(+.f64 (+.f64 x -1) (+.f64 x 1))
(+.f64 2 (+.f64 x (+.f64 x -2)))
(+.f64 (+.f64 x (+.f64 x 2)) -2)
(+.f64 (+.f64 x (+.f64 x -2)) 2)
(+.f64 (+.f64 (+.f64 x x) -1) 1)
(+.f64 (+.f64 x 2) (+.f64 x -2))
(+.f64 (+.f64 x -2) (+.f64 x 2))
(+.f64 -2 (+.f64 x (+.f64 x 2)))
(+.f64 (.f64 x 1/2) (.f64 x 3/2))
(+.f64 (.f64 (+.f64 x 1) 1/2) (+.f64 x (.f64 (+.f64 x -1) 1/2)))
(+.f64 (.f64 x 3/2) (.f64 x 1/2))
(+.f64 (+.f64 x (.f64 (+.f64 x -1) 1/2)) (.f64 (+.f64 x 1) 1/2))
(*.f64 x 2)
(*.f64 1 (+.f64 x x))
(*.f64 (+.f64 x x) 1)
(*.f64 2 x)
(.f64 4 (.f64 x 1/2))
(.f64 (.f64 x 4) 1/2)
(.f64 8 (.f64 x 1/4))
(.f64 (.f64 x 8) 1/4)
(.f64 1/2 (.f64 x 4))
(*.f64 1/2 (+.f64 (+.f64 x (+.f64 x 2)) (+.f64 x (+.f64 x -2))))
(.f64 (.f64 x 16) 1/8)
(.f64 (.f64 x 1/2) 4)
(.f64 1/4 (.f64 x 8))
(.f64 (.f64 x 1/4) 8)
(.f64 1/8 (.f64 x 16))
(*.f64 (+.f64 (+.f64 x (+.f64 x 2)) (+.f64 x (+.f64 x -2))) 1/2)
(/.f64 (+.f64 x x) 1)
(/.f64 (*.f64 x 4) 2)
(/.f64 (*.f64 x 8) 4)
(/.f64 (*.f64 x 16) 8)
(/.f64 (.f64 2 (.f64 x 16)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 x 16))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 x 16)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 x 16))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 x 16)))))) 256)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 x 16)))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 x 16))))))) 512)
(pow.f64 (+.f64 x x) 1)
(-.f64 (+.f64 1 (+.f64 x x)) 0)
(-.f64 (+.f64 x x) -1)
(-.f64 (+.f64 x (+.f64 x 2)) 1)
(*.f64 1 (+.f64 1 (+.f64 x x)))
(*.f64 (+.f64 1 (+.f64 x x)) 1)
(.f64 2 (.f64 (+.f64 1 (+.f64 x x)) 1/2))
(.f64 (+.f64 2 (.f64 x 4)) 1/2)
(.f64 4 (.f64 (+.f64 1 (+.f64 x x)) 1/4))
(.f64 (.f64 (+.f64 1 (+.f64 x x)) 4) 1/4)
(.f64 1/2 (+.f64 2 (.f64 x 4)))
(.f64 (.f64 (+.f64 1 (+.f64 x x)) 8) 1/8)
(.f64 (.f64 (+.f64 1 (+.f64 x x)) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 1 (+.f64 x x)) 4))
(.f64 1/4 (+.f64 (.f64 x 4) (*.f64 (+.f64 x 1) 4)))
(.f64 1/8 (.f64 (+.f64 1 (+.f64 x x)) 8))
(.f64 (.f64 (+.f64 1 (+.f64 x x)) 1/4) 4)
(.f64 (+.f64 (.f64 x 4) (*.f64 (+.f64 x 1) 4)) 1/4)
(/.f64 (+.f64 1 (+.f64 x x)) 1)
(/.f64 (+.f64 2 (*.f64 x 4)) 2)
(/.f64 (*.f64 (+.f64 1 (+.f64 x x)) 4) 4)
(/.f64 (*.f64 (+.f64 1 (+.f64 x x)) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 1 (+.f64 x x)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 1 (+.f64 x x)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 1 (+.f64 x x)) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 1 (+.f64 x x)) 8))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 1 (+.f64 x x)) 8)))))) 256)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 1 (+.f64 x x)) 8)))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 1 (+.f64 x x)) 8))))))) 512)
(pow.f64 (+.f64 1 (+.f64 x x)) 1)

Outputs
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
1
(+.f64 (*.f64 2 x) 1)
(+.f64 1 (+.f64 x x))
(+.f64 (*.f64 2 x) 1)
(+.f64 1 (+.f64 x x))
(+.f64 (*.f64 2 x) 1)
(+.f64 1 (+.f64 x x))
(*.f64 2 x)
(+.f64 x x)
(+.f64 1 (*.f64 2 x))
(+.f64 (*.f64 2 x) 1)
(+.f64 1 (+.f64 x x))
(+.f64 1 (*.f64 2 x))
(+.f64 (*.f64 2 x) 1)
(+.f64 1 (+.f64 x x))
(+.f64 1 (*.f64 2 x))
(+.f64 (*.f64 2 x) 1)
(+.f64 1 (+.f64 x x))
(*.f64 2 x)
(+.f64 x x)
(+.f64 1 (*.f64 2 x))
(+.f64 (*.f64 2 x) 1)
(+.f64 1 (+.f64 x x))
(+.f64 1 (*.f64 2 x))
(+.f64 (*.f64 2 x) 1)
(+.f64 1 (+.f64 x x))
(+.f64 1 (*.f64 2 x))
(+.f64 (*.f64 2 x) 1)
(+.f64 1 (+.f64 x x))
(+.f64 x x)
(*.f64 2 x)
(+.f64 1 (+.f64 (+.f64 x x) -1))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (+.f64 x 1) (+.f64 x -1))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (+.f64 1 (+.f64 x x)) -1)
(*.f64 2 x)
(+.f64 x x)
(+.f64 (+.f64 x x) 0)
(*.f64 2 x)
(+.f64 x x)
(+.f64 0 (+.f64 x x))
(*.f64 2 x)
(+.f64 x x)
(+.f64 -1 (+.f64 1 (+.f64 x x)))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (+.f64 x -1) (+.f64 x 1))
(*.f64 2 x)
(+.f64 x x)
(+.f64 2 (+.f64 x (+.f64 x -2)))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (+.f64 x (+.f64 x 2)) -2)
(*.f64 2 x)
(+.f64 x x)
(+.f64 (+.f64 x (+.f64 x -2)) 2)
(*.f64 2 x)
(+.f64 x x)
(+.f64 (+.f64 (+.f64 x x) -1) 1)
(*.f64 2 x)
(+.f64 x x)
(+.f64 (+.f64 x 2) (+.f64 x -2))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (+.f64 x -2) (+.f64 x 2))
(*.f64 2 x)
(+.f64 x x)
(+.f64 -2 (+.f64 x (+.f64 x 2)))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (.f64 x 1/2) (.f64 x 3/2))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (.f64 (+.f64 x 1) 1/2) (+.f64 x (.f64 (+.f64 x -1) 1/2)))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (.f64 x 3/2) (.f64 x 1/2))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (+.f64 x (.f64 (+.f64 x -1) 1/2)) (.f64 (+.f64 x 1) 1/2))
(*.f64 2 x)
(+.f64 x x)
(*.f64 x 2)
(*.f64 2 x)
(+.f64 x x)
(*.f64 1 (+.f64 x x))
(*.f64 2 x)
(+.f64 x x)
(*.f64 (+.f64 x x) 1)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(.f64 4 (.f64 x 1/2))
(*.f64 2 x)
(+.f64 x x)
(.f64 (.f64 x 4) 1/2)
(*.f64 2 x)
(+.f64 x x)
(.f64 8 (.f64 x 1/4))
(*.f64 2 x)
(+.f64 x x)
(.f64 (.f64 x 8) 1/4)
(*.f64 2 x)
(+.f64 x x)
(.f64 1/2 (.f64 x 4))
(*.f64 2 x)
(+.f64 x x)
(*.f64 1/2 (+.f64 (+.f64 x (+.f64 x 2)) (+.f64 x (+.f64 x -2))))
(*.f64 2 x)
(+.f64 x x)
(.f64 (.f64 x 16) 1/8)
(*.f64 2 x)
(+.f64 x x)
(.f64 (.f64 x 1/2) 4)
(*.f64 2 x)
(+.f64 x x)
(.f64 1/4 (.f64 x 8))
(*.f64 2 x)
(+.f64 x x)
(.f64 (.f64 x 1/4) 8)
(*.f64 2 x)
(+.f64 x x)
(.f64 1/8 (.f64 x 16))
(*.f64 2 x)
(+.f64 x x)
(*.f64 (+.f64 (+.f64 x (+.f64 x 2)) (+.f64 x (+.f64 x -2))) 1/2)
(*.f64 2 x)
(+.f64 x x)
(/.f64 (+.f64 x x) 1)
(*.f64 2 x)
(+.f64 x x)
(/.f64 (*.f64 x 4) 2)
(*.f64 2 x)
(+.f64 x x)
(/.f64 (*.f64 x 8) 4)
(*.f64 2 x)
(+.f64 x x)
(/.f64 (*.f64 x 16) 8)
(*.f64 2 x)
(+.f64 x x)
(/.f64 (.f64 2 (.f64 x 16)) 16)
(*.f64 2 x)
(+.f64 x x)
(/.f64 (.f64 2 (.f64 2 (*.f64 x 16))) 32)
(*.f64 2 x)
(+.f64 x x)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 x 16)))) 64)
(*.f64 2 x)
(+.f64 x x)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 x 16))))) 128)
(*.f64 2 x)
(+.f64 x x)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 x 16)))))) 256)
(*.f64 2 x)
(+.f64 x x)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 x 16)))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 x 16))))))) 512)
(*.f64 2 x)
(+.f64 x x)
(pow.f64 (+.f64 x x) 1)
(*.f64 2 x)
(+.f64 x x)
(-.f64 (+.f64 1 (+.f64 x x)) 0)
(+.f64 (*.f64 2 x) 1)
(+.f64 1 (+.f64 x x))
(-.f64 (+.f64 x x) -1)
(+.f64 (*.f64 2 x) 1)
(+.f64 1 (+.f64 x x))
(-.f64 (+.f64 x (+.f64 x 2)) 1)
(+.f64 (*.f64 2 x) 1)
(+.f64 1 (+.f64 x x))
(*.f64 1 (+.f64 1 (+.f64 x x)))
(+.f64 (*.f64 2 x) 1)
(+.f64 1 (+.f64 x x))
(*.f64 (+.f64 1 (+.f64 x x)) 1)
(+.f64 (*.f64 2 x) 1)
(+.f64 1 (+.f64 x x))
(.f64 2 (.f64 (+.f64 1 (+.f64 x x)) 1/2))
(+.f64 (*.f64 2 x) 1)
(+.f64 1 (+.f64 x x))
(.f64 (+.f64 2 (.f64 x 4)) 1/2)
(+.f64 (*.f64 2 x) 1)
(+.f64 1 (+.f64 x x))
(.f64 4 (.f64 (+.f64 1 (+.f64 x x)) 1/4))
(+.f64 (*.f64 2 x) 1)
(+.f64 1 (+.f64 x x))
(.f64 (.f64 (+.f64 1 (+.f64 x x)) 4) 1/4)
(+.f64 (*.f64 2 x) 1)
(+.f64 1 (+.f64 x x))
(.f64 1/2 (+.f64 2 (.f64 x 4)))
(+.f64 (*.f64 2 x) 1)
(+.f64 1 (+.f64 x x))
(.f64 (.f64 (+.f64 1 (+.f64 x x)) 8) 1/8)
(+.f64 (*.f64 2 x) 1)
(+.f64 1 (+.f64 x x))
(.f64 (.f64 (+.f64 1 (+.f64 x x)) 1/2) 2)
(+.f64 (*.f64 2 x) 1)
(+.f64 1 (+.f64 x x))
(.f64 1/4 (.f64 (+.f64 1 (+.f64 x x)) 4))
(+.f64 (*.f64 2 x) 1)
(+.f64 1 (+.f64 x x))
(.f64 1/4 (+.f64 (.f64 x 4) (*.f64 (+.f64 x 1) 4)))
(+.f64 (*.f64 2 x) 1)
(+.f64 1 (+.f64 x x))
(.f64 1/8 (.f64 (+.f64 1 (+.f64 x x)) 8))
(+.f64 (*.f64 2 x) 1)
(+.f64 1 (+.f64 x x))
(.f64 (.f64 (+.f64 1 (+.f64 x x)) 1/4) 4)
(+.f64 (*.f64 2 x) 1)
(+.f64 1 (+.f64 x x))
(.f64 (+.f64 (.f64 x 4) (*.f64 (+.f64 x 1) 4)) 1/4)
(+.f64 (*.f64 2 x) 1)
(+.f64 1 (+.f64 x x))
(/.f64 (+.f64 1 (+.f64 x x)) 1)
(+.f64 (*.f64 2 x) 1)
(+.f64 1 (+.f64 x x))
(/.f64 (+.f64 2 (*.f64 x 4)) 2)
(+.f64 (*.f64 2 x) 1)
(+.f64 1 (+.f64 x x))
(/.f64 (*.f64 (+.f64 1 (+.f64 x x)) 4) 4)
(+.f64 (*.f64 2 x) 1)
(+.f64 1 (+.f64 x x))
(/.f64 (*.f64 (+.f64 1 (+.f64 x x)) 8) 8)
(+.f64 (*.f64 2 x) 1)
(+.f64 1 (+.f64 x x))
(/.f64 (.f64 2 (.f64 (+.f64 1 (+.f64 x x)) 8)) 16)
(+.f64 (*.f64 2 x) 1)
(+.f64 1 (+.f64 x x))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 1 (+.f64 x x)) 8))) 32)
(+.f64 (*.f64 2 x) 1)
(+.f64 1 (+.f64 x x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 1 (+.f64 x x)) 8)))) 64)
(+.f64 (*.f64 2 x) 1)
(+.f64 1 (+.f64 x x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 1 (+.f64 x x)) 8))))) 128)
(+.f64 (*.f64 2 x) 1)
(+.f64 1 (+.f64 x x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 1 (+.f64 x x)) 8)))))) 256)
(+.f64 (*.f64 2 x) 1)
(+.f64 1 (+.f64 x x))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 1 (+.f64 x x)) 8)))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 1 (+.f64 x x)) 8))))))) 512)
(+.f64 (*.f64 2 x) 1)
(+.f64 1 (+.f64 x x))
(pow.f64 (+.f64 1 (+.f64 x x)) 1)
(+.f64 (*.f64 2 x) 1)
(+.f64 1 (+.f64 x x))

localize25.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 x (+.f64 x 1))
	0.2b	(*.f64 (pow.f64 x 3) 1/3)
✓	6.5b	(-.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 x (+.f64 x 1))) 1)

Compiler

Compiled 61 to 46 computations (24.6% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 x (+.f64 x 1))) 1)
0.0ms	x	@	inf	(-.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 x (+.f64 x 1))) 1)
0.0ms	x	@	-inf	(-.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 x (+.f64 x 1))) 1)

rewrite210.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2382×	`rational.json-simplify-2`
2230×	`rational.json-simplify-35`
1294×	`exponential.json-3`
1294×	`rational.json-1`
1294×	`rational.json-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	94	37
2	213	25
3	444	25
4	1229	25
5	2564	25
6	4150	25
7	5948	25
8	6795	25
9	6893	25
10	6893	25
11	7792	25

Stop Event

1×	node limit

Counts

1 → 56

Calls

Call 1

Inputs
(-.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 x (+.f64 x 1))) 1)

Outputs

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

simplify390.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

3916×	`rational.json-simplify-48`
1900×	`rational.json-simplify-51`
1818×	`rational.json-simplify-1`
1684×	`rational.json-simplify-35`
1358×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	121	1718
1	281	1718
2	596	1718
3	1275	1718
4	2135	1718
5	2917	1718
6	3378	1718
7	3657	1718
8	3767	1718
9	3858	1718
10	4443	1718
11	5157	1718
12	6003	1718
13	6186	1718
14	6267	1718
15	6349	1718
16	6822	1718
17	6904	1718
18	7238	1718
19	7320	1718
20	7402	1718
21	7484	1718

Stop Event

1×	node limit

Counts

68 → 62

Calls

Call 1

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

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

eval56.0ms (0.3%)

Compiler: Compiled 2701 to 2166 computations (19.8% saved)

prune31.0ms (0.2%)

Pruning

12 alts after pruning (2 fresh and 10 done)

	Pruned	Kept	Total
New	184	2	186
Fresh	0	0	0
Picked	0	1	1
Done	0	9	9
Total	184	12	196

Error

0.0b

Counts

196 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	59.4b	(/.f64 (-.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 x (+.f64 x 1))) 1) 2)
✓	59.6b	(/.f64 (-.f64 (+.f64 x (+.f64 x 1)) 1) 2)
✓	59.1b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
✓	0.2b	(/.f64 (+.f64 (+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3))) (+.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/2520 (pow.f64 x 7)))) 2)
✓	59.6b	(/.f64 (+.f64 (+.f64 (*.f64 2 x) 1) -1) 2)
✓	59.1b	(/.f64 (+.f64 (+.f64 (exp.f64 x) (-.f64 1 (exp.f64 (neg.f64 x)))) -1) 2)
	59.6b	(/.f64 (+.f64 (+.f64 x (+.f64 x 2)) -2) 2)
	59.5b	(/.f64 (+.f64 (+.f64 x 2) (+.f64 -1 (+.f64 x (+.f64 (*.f64 (pow.f64 x 3) 1/3) -1)))) 2)
✓	0.2b	(/.f64 (+.f64 (.f64 x 2) (+.f64 (.f64 (pow.f64 x 3) 1/3) (*.f64 1/60 (pow.f64 x 5)))) 2)
✓	0.3b	(/.f64 (+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3))) 2)
✓	59.1b	(/.f64 (.f64 (-.f64 1 (exp.f64 (.f64 x -2))) (exp.f64 x)) 2)
✓	0.7b	(/.f64 (*.f64 2 x) 2)

Compiler

Compiled 158 to 131 computations (17.1% saved)

regimes19.0ms (0.1%)

Counts

14 → 1

Calls

Call 1

Inputs
(/.f64 (*.f64 2 x) 2)
(/.f64 (+.f64 (+.f64 x (+.f64 x 2)) -2) 2)
(/.f64 (+.f64 (+.f64 (*.f64 2 x) 1) -1) 2)
(/.f64 (-.f64 (+.f64 x (+.f64 x 1)) 1) 2)
(/.f64 (+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3))) 2)
(/.f64 (+.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 1 (.f64 x 2))) -1) 2)
(/.f64 (-.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 x (+.f64 x 1))) 1) 2)
(/.f64 (+.f64 (+.f64 x 2) (+.f64 -1 (+.f64 x (+.f64 (*.f64 (pow.f64 x 3) 1/3) -1)))) 2)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(/.f64 (.f64 (-.f64 1 (exp.f64 (.f64 x -2))) (exp.f64 x)) 2)
(/.f64 (+.f64 (+.f64 (exp.f64 x) (-.f64 1 (exp.f64 (neg.f64 x)))) -1) 2)
(/.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5)))) 2)
(/.f64 (+.f64 (.f64 x 2) (+.f64 (.f64 (pow.f64 x 3) 1/3) (*.f64 1/60 (pow.f64 x 5)))) 2)
(/.f64 (+.f64 (+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3))) (+.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/2520 (pow.f64 x 7)))) 2)

Outputs
(/.f64 (+.f64 (+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3))) (+.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/2520 (pow.f64 x 7)))) 2)

Calls

3 calls:

9.0ms	x
3.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
3.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)`
0.2b	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 197 to 156 computations (20.8% saved)

regimes17.0ms (0.1%)

Counts

13 → 1

Calls

Call 1

Inputs
(/.f64 (*.f64 2 x) 2)
(/.f64 (+.f64 (+.f64 x (+.f64 x 2)) -2) 2)
(/.f64 (+.f64 (+.f64 (*.f64 2 x) 1) -1) 2)
(/.f64 (-.f64 (+.f64 x (+.f64 x 1)) 1) 2)
(/.f64 (+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3))) 2)
(/.f64 (+.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 1 (.f64 x 2))) -1) 2)
(/.f64 (-.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 x (+.f64 x 1))) 1) 2)
(/.f64 (+.f64 (+.f64 x 2) (+.f64 -1 (+.f64 x (+.f64 (*.f64 (pow.f64 x 3) 1/3) -1)))) 2)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(/.f64 (.f64 (-.f64 1 (exp.f64 (.f64 x -2))) (exp.f64 x)) 2)
(/.f64 (+.f64 (+.f64 (exp.f64 x) (-.f64 1 (exp.f64 (neg.f64 x)))) -1) 2)
(/.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5)))) 2)
(/.f64 (+.f64 (.f64 x 2) (+.f64 (.f64 (pow.f64 x 3) 1/3) (*.f64 1/60 (pow.f64 x 5)))) 2)

Outputs
(/.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5)))) 2)

Calls

3 calls:

8.0ms	x
3.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
2.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)`
0.2b	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 174 to 137 computations (21.3% saved)

regimes15.0ms (0.1%)

Counts

11 → 1

Calls

Call 1

Inputs
(/.f64 (*.f64 2 x) 2)
(/.f64 (+.f64 (+.f64 x (+.f64 x 2)) -2) 2)
(/.f64 (+.f64 (+.f64 (*.f64 2 x) 1) -1) 2)
(/.f64 (-.f64 (+.f64 x (+.f64 x 1)) 1) 2)
(/.f64 (+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3))) 2)
(/.f64 (+.f64 (+.f64 (.f64 (pow.f64 x 3) 1/3) (+.f64 1 (.f64 x 2))) -1) 2)
(/.f64 (-.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 x (+.f64 x 1))) 1) 2)
(/.f64 (+.f64 (+.f64 x 2) (+.f64 -1 (+.f64 x (+.f64 (*.f64 (pow.f64 x 3) 1/3) -1)))) 2)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(/.f64 (.f64 (-.f64 1 (exp.f64 (.f64 x -2))) (exp.f64 x)) 2)
(/.f64 (+.f64 (+.f64 (exp.f64 x) (-.f64 1 (exp.f64 (neg.f64 x)))) -1) 2)

Outputs
(/.f64 (+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3))) 2)

Calls

3 calls:

7.0ms	x
2.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
2.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)`
0.3b	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 140 to 109 computations (22.1% saved)

regimes5.0ms (0%)

Accuracy

Total -59.0b remaining (-8937.9%)

Threshold costs -59.0b (-8937.9%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(/.f64 (*.f64 2 x) 2)

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
0.7b	1	`x`

Compiler

Compiled 35 to 28 computations (20% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	160

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 (+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3))) (+.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/2520 (pow.f64 x 7)))) 2)
(/.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5)))) 2)
(/.f64 (+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3))) 2)
(/.f64 (*.f64 2 x) 2)

Outputs
(/.f64 (+.f64 (+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3))) (+.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/2520 (pow.f64 x 7)))) 2)
(/.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5)))) 2)
(/.f64 (+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3))) 2)
(/.f64 (*.f64 2 x) 2)

Compiler

Compiled 60 to 50 computations (16.7% saved)

soundness166.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1122×	`rational.json-simplify-2`
966×	`rational.json-simplify-41`
944×	`rational.json-simplify-54`
638×	`rational.json-simplify-42`
520×	`rational.json-simplify-44`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	1202
1	244	1202
2	510	1202
3	1278	1202
4	3421	1202
5	5005	1202
6	6804	1202

Stop Event

1×	node limit

Compiler

Compiled 93 to 77 computations (17.2% saved)

end40.0ms (0.2%)

Compiler: Compiled 57 to 47 computations (17.5% saved)

Details

analyze5.0ms (0%)

sample6.2s (38.6%)

preprocess2.0s (12.3%)

simplify2.0s (12.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0%)

series1.0ms (0%)

rewrite72.0ms (0.4%)

simplify123.0ms (0.8%)

eval14.0ms (0.1%)

prune15.0ms (0.1%)

localize37.0ms (0.2%)

series4.0ms (0%)

rewrite240.0ms (1.5%)

simplify383.0ms (2.4%)

localize5.0ms (0%)

localize14.0ms (0.1%)

localize15.0ms (0.1%)

series1.0ms (0%)

rewrite133.0ms (0.8%)

simplify212.0ms (1.3%)

localize16.0ms (0.1%)

series1.0ms (0%)

rewrite86.0ms (0.5%)

simplify216.0ms (1.3%)

eval232.0ms (1.4%)

prune45.0ms (0.3%)

localize81.0ms (0.5%)

series1.0ms (0%)

rewrite200.0ms (1.2%)

simplify632.0ms (3.9%)

localize11.0ms (0.1%)

series1.0ms (0%)

rewrite197.0ms (1.2%)

simplify482.0ms (3%)

localize23.0ms (0.1%)

series0.0ms (0%)

rewrite189.0ms (1.2%)

simplify518.0ms (3.2%)

eval53.0ms (0.3%)

prune23.0ms (0.1%)

localize11.0ms (0.1%)

series0.0ms (0%)

rewrite272.0ms (1.7%)

simplify380.0ms (2.4%)

localize25.0ms (0.2%)

series0.0ms (0%)

rewrite210.0ms (1.3%)

simplify390.0ms (2.4%)

eval56.0ms (0.3%)

prune31.0ms (0.2%)

regimes19.0ms (0.1%)

regimes17.0ms (0.1%)

regimes15.0ms (0.1%)

regimes5.0ms (0%)

simplify3.0ms (0%)

soundness166.0ms (1%)

end40.0ms (0.2%)

Profiling