Details

analyze4.0ms (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
25%	25%	75%	0%	0%	0%	0%	3
62.5%	62.5%	37.5%	0%	0%	0%	0%	4
78.6%	68.7%	18.7%	0%	12.5%	0%	0%	5
88.5%	71.8%	9.4%	0%	18.7%	0%	0%	6
94%	73.4%	4.7%	0%	21.9%	0%	0%	7
96.9%	74.2%	2.3%	0%	23.4%	0%	0%	8
98.5%	74.6%	1.2%	0%	24.2%	0%	0%	9
99.2%	75%	0.6%	0%	24.4%	0%	0%	10
99.6%	75.1%	0.3%	0%	24.6%	0%	0%	11
99.8%	75.1%	0.1%	0%	24.7%	0%	0%	12

Compiler

Compiled 8 to 6 computations (25% saved)

sample2.3s (15.7%)

Results

1.3s	2670×	body	1024	valid
657.0ms	3907×	body	256	valid
253.0ms	1400×	body	512	valid
78.0ms	279×	body	2048	valid
0.0ms	7×	body	256	infinite

Bogosity

preprocess2.0s (13.7%)

Algorithm

2×	egg-herbie

Rules

13460×	`rational.json-simplify-41`
2584×	`rational.json-simplify-48`
1592×	`rational.json-simplify-1`
324×	`rational.json-simplify-35`
132×	`rational.json-simplify-16`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	13	17
2	19	17
3	37	17
4	79	17
5	216	17
6	735	17
7	1005	17
8	1084	17
9	1250	17
10	1528	17
11	1672	17
12	1779	17
13	1810	17
14	1814	17
15	1817	17
16	1930	17
17	1999	17
18	2068	17
19	2080	17
20	2083	17
21	2086	17
22	2089	17
23	2336	17
24	2536	17
25	2627	17
26	2702	17
27	2742	17
28	2761	17
29	2764	17
30	2767	17
31	2770	17
32	2773	17
33	2776	17
34	2779	17
35	2822	17
36	2842	17
37	2888	17
38	2900	17
39	2928	17
40	2933	17
41	2937	17
42	2940	17
43	2943	17
44	2946	17
45	2949	17
46	2952	17
47	2955	17
48	2958	17
49	2961	17
50	2964	17
51	2967	17
52	2970	17
53	2973	17
54	2976	17
55	2979	17
56	2982	17
57	2985	17
58	2988	17
59	2991	17
60	2994	17
61	2997	17
62	3000	17
63	3003	17
64	3006	17
65	3009	17
66	3012	17
67	3015	17
68	3018	17
69	3021	17
70	3024	17
71	3027	17
72	3030	17
73	3033	17
74	3036	17
75	3039	17
76	3042	17
77	3045	17
78	3048	17
79	3051	17
80	3054	17
81	3057	17
82	3060	17
83	3063	17
84	3066	17
85	3069	17
86	3072	17
87	3075	17
88	3078	17
89	3081	17
90	3084	17
91	3087	17
92	3090	17
93	3093	17
94	3096	17
95	3099	17
96	3102	17
97	3105	17
98	3108	17
99	3111	17
100	3114	17
101	3117	17
102	3120	17
103	3123	17
104	3126	17
105	3129	17
106	3132	17
107	3135	17
108	3138	17
109	3141	17
110	3144	17
111	3147	17
112	3150	17
113	3153	17
114	3156	17
115	3159	17
116	3162	17
117	3165	17
118	3168	17
119	3171	17
120	3174	17
121	3177	17
122	3180	17
123	3183	17
124	3186	17
125	3189	17
126	3192	17
127	3195	17
128	3198	17
129	3201	17
130	3204	17
131	3207	17
132	3210	17
133	3213	17
134	3216	17
135	3219	17
136	3222	17
137	3225	17
138	3228	17
139	3231	17
140	3234	17
141	3237	17
142	3240	17
143	3243	17
144	3246	17
145	3249	17
146	3252	17
147	3255	17
148	3258	17
149	3261	17
150	3264	17
151	3267	17
152	3270	17
153	3273	17
154	3276	17
155	3279	17
156	3282	17
157	3285	17
158	3288	17
159	3291	17
160	3294	17
161	3297	17
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) 1) x)

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

Compiler

Compiled 8 to 6 computations (25% saved)

simplify2.0s (13.6%)

Algorithm

1×	egg-herbie

Rules

13460×	`rational.json-simplify-41`
2584×	`rational.json-simplify-48`
1592×	`rational.json-simplify-1`
324×	`rational.json-simplify-35`
132×	`rational.json-simplify-16`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	13	17
2	19	17
3	37	17
4	79	17
5	216	17
6	735	17
7	1005	17
8	1084	17
9	1250	17
10	1528	17
11	1672	17
12	1779	17
13	1810	17
14	1814	17
15	1817	17
16	1930	17
17	1999	17
18	2068	17
19	2080	17
20	2083	17
21	2086	17
22	2089	17
23	2336	17
24	2536	17
25	2627	17
26	2702	17
27	2742	17
28	2761	17
29	2764	17
30	2767	17
31	2770	17
32	2773	17
33	2776	17
34	2779	17
35	2822	17
36	2842	17
37	2888	17
38	2900	17
39	2928	17
40	2933	17
41	2937	17
42	2940	17
43	2943	17
44	2946	17
45	2949	17
46	2952	17
47	2955	17
48	2958	17
49	2961	17
50	2964	17
51	2967	17
52	2970	17
53	2973	17
54	2976	17
55	2979	17
56	2982	17
57	2985	17
58	2988	17
59	2991	17
60	2994	17
61	2997	17
62	3000	17
63	3003	17
64	3006	17
65	3009	17
66	3012	17
67	3015	17
68	3018	17
69	3021	17
70	3024	17
71	3027	17
72	3030	17
73	3033	17
74	3036	17
75	3039	17
76	3042	17
77	3045	17
78	3048	17
79	3051	17
80	3054	17
81	3057	17
82	3060	17
83	3063	17
84	3066	17
85	3069	17
86	3072	17
87	3075	17
88	3078	17
89	3081	17
90	3084	17
91	3087	17
92	3090	17
93	3093	17
94	3096	17
95	3099	17
96	3102	17
97	3105	17
98	3108	17
99	3111	17
100	3114	17
101	3117	17
102	3120	17
103	3123	17
104	3126	17
105	3129	17
106	3132	17
107	3135	17
108	3138	17
109	3141	17
110	3144	17
111	3147	17
112	3150	17
113	3153	17
114	3156	17
115	3159	17
116	3162	17
117	3165	17
118	3168	17
119	3171	17
120	3174	17
121	3177	17
122	3180	17
123	3183	17
124	3186	17
125	3189	17
126	3192	17
127	3195	17
128	3198	17
129	3201	17
130	3204	17
131	3207	17
132	3210	17
133	3213	17
134	3216	17
135	3219	17
136	3222	17
137	3225	17
138	3228	17
139	3231	17
140	3234	17
141	3237	17
142	3240	17
143	3243	17
144	3246	17
145	3249	17
146	3252	17
147	3255	17
148	3258	17
149	3261	17
150	3264	17
151	3267	17
152	3270	17
153	3273	17
154	3276	17
155	3279	17
156	3282	17
157	3285	17
158	3288	17
159	3291	17
160	3294	17
161	3297	17

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 x) 1) x)

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

eval0.0ms (0%)

Compiler: Compiled 13 to 8 computations (38.5% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

39.2b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	39.2b	(/.f64 (-.f64 (exp.f64 x) 1) x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 (exp.f64 x) 1) x)
✓	3.9b	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 15 to 8 computations (46.7% saved)

series1.0ms (0%)

Counts

2 → 8

Calls

6 calls:

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

rewrite93.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1328×	`rational.json-1`
1328×	`rational.json-2`
1328×	`rational.json-4`
1328×	`rational.json-3`
1320×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	64	28
2	167	28
3	379	28
4	928	28
5	3620	28

Stop Event

1×	node limit

Counts

2 → 102

Calls

Call 1

Inputs
(-.f64 (exp.f64 x) 1)
(/.f64 (-.f64 (exp.f64 x) 1) x)

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

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

simplify114.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1954×	`rational.json-simplify-35`
1496×	`rational.json-simplify-53`
1082×	`rational.json-simplify-2`
762×	`rational.json-simplify-1`
746×	`rational.json-simplify-39`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	202	3020
1	413	2960
2	1349	2848
3	3129	2808
4	7101	2802

Stop Event

1×	node limit

Counts

110 → 160

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)))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
(+.f64 (exp.f64 x) -1)
(+.f64 (+.f64 (exp.f64 x) -1) 0)
(+.f64 0 (+.f64 (exp.f64 x) -1))
(+.f64 -1 (exp.f64 x))
(+.f64 (.f64 (+.f64 (exp.f64 x) -1) 1/2) (.f64 (+.f64 (exp.f64 x) -1) 1/2))
(*.f64 1 (+.f64 (exp.f64 x) -1))
(*.f64 (+.f64 (exp.f64 x) -1) 1)
(*.f64 -1 (-.f64 1 (exp.f64 x)))
(.f64 (+.f64 (.f64 (exp.f64 x) 2) -2) 1/2)
(.f64 2 (.f64 (+.f64 (exp.f64 x) -1) 1/2))
(.f64 (.f64 (+.f64 (exp.f64 x) -1) 4) 1/4)
(*.f64 4 (/.f64 (+.f64 (exp.f64 x) -1) 4))
(*.f64 (-.f64 1 (exp.f64 x)) -1)
(.f64 (.f64 (+.f64 (exp.f64 x) -1) 8) 1/8)
(.f64 1/2 (+.f64 (.f64 (exp.f64 x) 2) -2))
(.f64 (.f64 2 (-.f64 1 (exp.f64 x))) -1/2)
(.f64 (.f64 (+.f64 (exp.f64 x) -1) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 (exp.f64 x) -1) 4))
(.f64 -1/2 (.f64 2 (-.f64 1 (exp.f64 x))))
(.f64 1/8 (.f64 (+.f64 (exp.f64 x) -1) 8))
(*.f64 (/.f64 (+.f64 (exp.f64 x) -1) 4) 4)
(/.f64 (+.f64 (exp.f64 x) -1) 1)
(/.f64 (+.f64 (*.f64 (exp.f64 x) 2) -2) 2)
(/.f64 (*.f64 (+.f64 (exp.f64 x) -1) 4) 4)
(/.f64 (-.f64 1 (exp.f64 x)) -1)
(/.f64 (*.f64 (+.f64 (exp.f64 x) -1) 8) 8)
(/.f64 (*.f64 2 (-.f64 1 (exp.f64 x))) -2)
(/.f64 (.f64 2 (.f64 (+.f64 (exp.f64 x) -1) 8)) 16)
(/.f64 (*.f64 4 (-.f64 1 (exp.f64 x))) -4)
(/.f64 (neg.f64 (*.f64 4 (-.f64 1 (exp.f64 x)))) 4)
(pow.f64 (+.f64 (exp.f64 x) -1) 1)
(neg.f64 (-.f64 1 (exp.f64 x)))
(+.f64 (/.f64 (+.f64 (exp.f64 x) -1) x) 0)
(+.f64 0 (/.f64 (+.f64 (exp.f64 x) -1) x))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 (exp.f64 x)) x)))
(+.f64 (.f64 (/.f64 (-.f64 1 (exp.f64 x)) x) -1/2) (.f64 (/.f64 (-.f64 1 (exp.f64 x)) x) -1/2))
(-.f64 (/.f64 (+.f64 (exp.f64 x) -1) x) 0)
(-.f64 0 (/.f64 (-.f64 1 (exp.f64 x)) x))
(.f64 x (/.f64 (/.f64 1 (+.f64 (exp.f64 x) -1)) (.f64 (/.f64 x (+.f64 (exp.f64 x) -1)) (/.f64 x (+.f64 (exp.f64 x) -1)))))
(*.f64 1 (/.f64 (+.f64 (exp.f64 x) -1) x))
(*.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 x))
(.f64 (+.f64 (exp.f64 x) -1) (.f64 1/2 (/.f64 2 x)))
(*.f64 (/.f64 (+.f64 (exp.f64 x) -1) x) 1)
(*.f64 -1 (/.f64 (-.f64 1 (exp.f64 x)) x))
(.f64 (+.f64 (.f64 (exp.f64 x) 2) -2) (/.f64 1/2 x))
(.f64 (+.f64 (.f64 (exp.f64 x) 2) -2) (+.f64 (/.f64 1 (.f64 x 4)) (/.f64 1 (.f64 x 4))))
(.f64 2 (.f64 (/.f64 (-.f64 1 (exp.f64 x)) x) -1/2))
(.f64 (.f64 (+.f64 (exp.f64 x) -1) (/.f64 2 x)) 1/2)
(.f64 (.f64 (+.f64 (exp.f64 x) -1) 4) (/.f64 1 (*.f64 x 4)))
(.f64 (.f64 (+.f64 (exp.f64 x) -1) 4) (*.f64 (/.f64 1 x) 1/4))
(.f64 (.f64 (+.f64 (exp.f64 x) -1) 4) (*.f64 (/.f64 1/2 x) 1/2))
(.f64 4 (/.f64 (+.f64 (exp.f64 x) -1) (.f64 x 4)))
(*.f64 4 (/.f64 (/.f64 (+.f64 (exp.f64 x) -1) x) 4))
(*.f64 (/.f64 1 x) (+.f64 (exp.f64 x) -1))
(*.f64 (/.f64 1 x) (/.f64 1 (/.f64 1 (+.f64 (exp.f64 x) -1))))
(*.f64 (-.f64 1 (exp.f64 x)) (/.f64 -1 x))
(.f64 (/.f64 x (+.f64 (exp.f64 x) -1)) (/.f64 1 (.f64 (/.f64 x (+.f64 (exp.f64 x) -1)) (/.f64 x (+.f64 (exp.f64 x) -1)))))
(.f64 (/.f64 x (+.f64 (exp.f64 x) -1)) (/.f64 2 (.f64 2 (*.f64 (/.f64 x (+.f64 (exp.f64 x) -1)) (/.f64 x (+.f64 (exp.f64 x) -1))))))
(.f64 (/.f64 -2 (/.f64 (-.f64 1 (exp.f64 x)) x)) (/.f64 1 (.f64 2 (*.f64 (/.f64 x (+.f64 (exp.f64 x) -1)) (/.f64 x (+.f64 (exp.f64 x) -1))))))
(.f64 (/.f64 -2 (/.f64 (-.f64 1 (exp.f64 x)) x)) (/.f64 1/2 (.f64 (/.f64 x (+.f64 (exp.f64 x) -1)) (/.f64 x (+.f64 (exp.f64 x) -1)))))
(.f64 (.f64 (/.f64 (+.f64 (exp.f64 x) -1) x) 4) 1/4)
(.f64 (.f64 (+.f64 (exp.f64 x) -1) 8) (/.f64 1 (*.f64 x 8)))
(.f64 (/.f64 1 (+.f64 (exp.f64 x) -1)) (/.f64 x (.f64 (/.f64 x (+.f64 (exp.f64 x) -1)) (/.f64 x (+.f64 (exp.f64 x) -1)))))
(.f64 (/.f64 1/2 x) (+.f64 (.f64 (exp.f64 x) 2) -2))
(.f64 1/2 (.f64 (+.f64 (exp.f64 x) -1) (/.f64 2 x)))
(.f64 (.f64 2 (-.f64 1 (exp.f64 x))) (/.f64 -1/2 x))
(.f64 (.f64 2 (-.f64 1 (exp.f64 x))) (/.f64 1 (*.f64 x -2)))
(.f64 (.f64 2 (/.f64 1 x)) (*.f64 (+.f64 (exp.f64 x) -1) 1/2))
(*.f64 (/.f64 (-.f64 1 (exp.f64 x)) x) -1)
(.f64 (.f64 x (/.f64 1/2 (+.f64 (exp.f64 x) -1))) (/.f64 2 (*.f64 (/.f64 x (+.f64 (exp.f64 x) -1)) (/.f64 x (+.f64 (exp.f64 x) -1)))))
(.f64 (/.f64 1/2 (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 x x) (.f64 (/.f64 x (+.f64 (exp.f64 x) -1)) (/.f64 x (+.f64 (exp.f64 x) -1)))))
(.f64 (.f64 (/.f64 (-.f64 1 (exp.f64 x)) x) -1/2) 2)
(.f64 (/.f64 2 x) (.f64 (+.f64 (exp.f64 x) -1) 1/2))
(.f64 (/.f64 2 (+.f64 (exp.f64 x) -1)) (/.f64 x (.f64 2 (*.f64 (/.f64 x (+.f64 (exp.f64 x) -1)) (/.f64 x (+.f64 (exp.f64 x) -1))))))
(.f64 (.f64 (+.f64 (exp.f64 x) -1) 1/2) (*.f64 2 (/.f64 1 x)))
(.f64 (.f64 (+.f64 (exp.f64 x) -1) 1/2) (/.f64 2 x))
(.f64 1/4 (.f64 (/.f64 (+.f64 (exp.f64 x) -1) x) 4))
(.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 (neg.f64 x) (.f64 (/.f64 x (+.f64 (exp.f64 x) -1)) (/.f64 x (+.f64 (exp.f64 x) -1)))))
(.f64 (/.f64 1 (.f64 x 4)) (*.f64 (+.f64 (exp.f64 x) -1) 4))
(*.f64 (/.f64 -1 x) (-.f64 1 (exp.f64 x)))
(.f64 (.f64 (/.f64 1 x) 1/4) (*.f64 (+.f64 (exp.f64 x) -1) 4))
(.f64 (.f64 (/.f64 1/2 x) 1/2) (*.f64 (+.f64 (exp.f64 x) -1) 4))
(.f64 (.f64 1/2 (/.f64 2 x)) (+.f64 (exp.f64 x) -1))
(*.f64 (/.f64 1 (/.f64 1 (+.f64 (exp.f64 x) -1))) (/.f64 1 x))
(.f64 (/.f64 x (.f64 (/.f64 x (+.f64 (exp.f64 x) -1)) (/.f64 x (+.f64 (exp.f64 x) -1)))) (/.f64 1 (+.f64 (exp.f64 x) -1)))
(.f64 (/.f64 1 (.f64 (/.f64 x (+.f64 (exp.f64 x) -1)) (/.f64 x (+.f64 (exp.f64 x) -1)))) (/.f64 x (+.f64 (exp.f64 x) -1)))
(.f64 (/.f64 (+.f64 x x) (.f64 (/.f64 x (+.f64 (exp.f64 x) -1)) (/.f64 x (+.f64 (exp.f64 x) -1)))) (/.f64 1/2 (+.f64 (exp.f64 x) -1)))
(.f64 (/.f64 2 (.f64 (/.f64 x (+.f64 (exp.f64 x) -1)) (/.f64 x (+.f64 (exp.f64 x) -1)))) (*.f64 x (/.f64 1/2 (+.f64 (exp.f64 x) -1))))
(.f64 (/.f64 (neg.f64 x) (.f64 (/.f64 x (+.f64 (exp.f64 x) -1)) (/.f64 x (+.f64 (exp.f64 x) -1)))) (/.f64 1 (-.f64 1 (exp.f64 x))))
(.f64 (/.f64 (/.f64 1 (+.f64 (exp.f64 x) -1)) (.f64 (/.f64 x (+.f64 (exp.f64 x) -1)) (/.f64 x (+.f64 (exp.f64 x) -1)))) x)
(.f64 (/.f64 1 (.f64 2 (*.f64 (/.f64 x (+.f64 (exp.f64 x) -1)) (/.f64 x (+.f64 (exp.f64 x) -1))))) (/.f64 -2 (/.f64 (-.f64 1 (exp.f64 x)) x)))
(.f64 (/.f64 2 (.f64 2 (*.f64 (/.f64 x (+.f64 (exp.f64 x) -1)) (/.f64 x (+.f64 (exp.f64 x) -1))))) (/.f64 x (+.f64 (exp.f64 x) -1)))
(.f64 (/.f64 (+.f64 (exp.f64 x) -1) (.f64 x 4)) 4)
(.f64 (/.f64 -1/2 x) (.f64 2 (-.f64 1 (exp.f64 x))))
(.f64 (/.f64 1/2 (.f64 (/.f64 x (+.f64 (exp.f64 x) -1)) (/.f64 x (+.f64 (exp.f64 x) -1)))) (/.f64 -2 (/.f64 (-.f64 1 (exp.f64 x)) x)))
(.f64 (/.f64 x (.f64 2 (*.f64 (/.f64 x (+.f64 (exp.f64 x) -1)) (/.f64 x (+.f64 (exp.f64 x) -1))))) (/.f64 2 (+.f64 (exp.f64 x) -1)))
(*.f64 (/.f64 (/.f64 (+.f64 (exp.f64 x) -1) x) 4) 4)
(.f64 (/.f64 1 (.f64 x 8)) (*.f64 (+.f64 (exp.f64 x) -1) 8))
(.f64 (/.f64 1 (.f64 x -2)) (*.f64 2 (-.f64 1 (exp.f64 x))))
(pow.f64 (/.f64 (+.f64 (exp.f64 x) -1) x) 1)
(neg.f64 (/.f64 (-.f64 1 (exp.f64 x)) x))
(neg.f64 (/.f64 (/.f64 x (-.f64 1 (exp.f64 x))) (*.f64 (/.f64 x (+.f64 (exp.f64 x) -1)) (/.f64 x (+.f64 (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 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 3)))))
(+.f64 x (+.f64 (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/24 (pow.f64 x 4))) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (*.f64 1/24 (pow.f64 x 4)))))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 1 (*.f64 x 1/2))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(+.f64 (.f64 (pow.f64 x 2) 1/6) (+.f64 1 (.f64 x 1/2)))
(+.f64 1 (+.f64 (.f64 x 1/2) (.f64 (pow.f64 x 2) 1/6)))
(+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
(+.f64 (.f64 x 1/2) (+.f64 1 (+.f64 (.f64 (pow.f64 x 3) 1/24) (*.f64 (pow.f64 x 2) 1/6))))
(+.f64 1 (+.f64 (+.f64 (.f64 (pow.f64 x 2) 1/6) (.f64 (pow.f64 x 3) 1/24)) (*.f64 x 1/2)))
(+.f64 1 (+.f64 (.f64 x 1/2) (+.f64 (.f64 (pow.f64 x 2) 1/6) (*.f64 (pow.f64 x 3) 1/24))))
(+.f64 (exp.f64 x) -1)
(+.f64 (+.f64 (exp.f64 x) -1) 0)
(+.f64 (exp.f64 x) -1)
(+.f64 0 (+.f64 (exp.f64 x) -1))
(+.f64 (exp.f64 x) -1)
(+.f64 -1 (exp.f64 x))
(+.f64 (exp.f64 x) -1)
(+.f64 (.f64 (+.f64 (exp.f64 x) -1) 1/2) (.f64 (+.f64 (exp.f64 x) -1) 1/2))
(+.f64 (exp.f64 x) -1)
(*.f64 1 (+.f64 (exp.f64 x) -1))
(+.f64 (exp.f64 x) -1)
(*.f64 (+.f64 (exp.f64 x) -1) 1)
(+.f64 (exp.f64 x) -1)
(*.f64 -1 (-.f64 1 (exp.f64 x)))
(+.f64 (exp.f64 x) -1)
(.f64 (+.f64 (.f64 (exp.f64 x) 2) -2) 1/2)
(.f64 1/2 (+.f64 (.f64 2 (exp.f64 x)) -2))
(.f64 2 (.f64 (+.f64 (exp.f64 x) -1) 1/2))
(+.f64 (exp.f64 x) -1)
(.f64 (.f64 (+.f64 (exp.f64 x) -1) 4) 1/4)
(+.f64 (exp.f64 x) -1)
(*.f64 4 (/.f64 (+.f64 (exp.f64 x) -1) 4))
(+.f64 (exp.f64 x) -1)
(*.f64 (-.f64 1 (exp.f64 x)) -1)
(+.f64 (exp.f64 x) -1)
(.f64 (.f64 (+.f64 (exp.f64 x) -1) 8) 1/8)
(+.f64 (exp.f64 x) -1)
(.f64 1/2 (+.f64 (.f64 (exp.f64 x) 2) -2))
(.f64 1/2 (+.f64 (.f64 2 (exp.f64 x)) -2))
(.f64 (.f64 2 (-.f64 1 (exp.f64 x))) -1/2)
(+.f64 (exp.f64 x) -1)
(.f64 (.f64 (+.f64 (exp.f64 x) -1) 1/2) 2)
(+.f64 (exp.f64 x) -1)
(.f64 1/4 (.f64 (+.f64 (exp.f64 x) -1) 4))
(+.f64 (exp.f64 x) -1)
(.f64 -1/2 (.f64 2 (-.f64 1 (exp.f64 x))))
(+.f64 (exp.f64 x) -1)
(.f64 1/8 (.f64 (+.f64 (exp.f64 x) -1) 8))
(+.f64 (exp.f64 x) -1)
(*.f64 (/.f64 (+.f64 (exp.f64 x) -1) 4) 4)
(+.f64 (exp.f64 x) -1)
(/.f64 (+.f64 (exp.f64 x) -1) 1)
(+.f64 (exp.f64 x) -1)
(/.f64 (+.f64 (*.f64 (exp.f64 x) 2) -2) 2)
(/.f64 (+.f64 (*.f64 2 (exp.f64 x)) -2) 2)
(/.f64 (*.f64 (+.f64 (exp.f64 x) -1) 4) 4)
(+.f64 (exp.f64 x) -1)
(/.f64 (-.f64 1 (exp.f64 x)) -1)
(+.f64 (exp.f64 x) -1)
(/.f64 (*.f64 (+.f64 (exp.f64 x) -1) 8) 8)
(+.f64 (exp.f64 x) -1)
(/.f64 (*.f64 2 (-.f64 1 (exp.f64 x))) -2)
(+.f64 (exp.f64 x) -1)
(/.f64 (.f64 2 (.f64 (+.f64 (exp.f64 x) -1) 8)) 16)
(+.f64 (exp.f64 x) -1)
(/.f64 (*.f64 4 (-.f64 1 (exp.f64 x))) -4)
(+.f64 (exp.f64 x) -1)
(/.f64 (neg.f64 (*.f64 4 (-.f64 1 (exp.f64 x)))) 4)
(+.f64 (exp.f64 x) -1)
(pow.f64 (+.f64 (exp.f64 x) -1) 1)
(+.f64 (exp.f64 x) -1)
(neg.f64 (-.f64 1 (exp.f64 x)))
(+.f64 (exp.f64 x) -1)
(+.f64 (/.f64 (+.f64 (exp.f64 x) -1) x) 0)
(/.f64 (+.f64 (exp.f64 x) -1) x)
(+.f64 0 (/.f64 (+.f64 (exp.f64 x) -1) x))
(/.f64 (+.f64 (exp.f64 x) -1) x)
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 (exp.f64 x)) x)))
(/.f64 (+.f64 (exp.f64 x) -1) x)
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(*.f64 (/.f64 x (/.f64 (-.f64 1 (exp.f64 x)) -2)) (/.f64 (/.f64 1/2 (/.f64 x (+.f64 (exp.f64 x) -1))) (/.f64 x (+.f64 (exp.f64 x) -1))))
(.f64 (/.f64 (.f64 x -2) (-.f64 1 (exp.f64 x))) (/.f64 1/2 (*.f64 (/.f64 x (+.f64 (exp.f64 x) -1)) (/.f64 x (+.f64 (exp.f64 x) -1)))))
(.f64 (/.f64 1/2 (.f64 (/.f64 x (+.f64 (exp.f64 x) -1)) (/.f64 x (+.f64 (exp.f64 x) -1)))) (*.f64 x (/.f64 2 (+.f64 (exp.f64 x) -1))))
(.f64 (/.f64 x (.f64 2 (*.f64 (/.f64 x (+.f64 (exp.f64 x) -1)) (/.f64 x (+.f64 (exp.f64 x) -1))))) (/.f64 2 (+.f64 (exp.f64 x) -1)))
(.f64 (/.f64 2 (+.f64 (exp.f64 x) -1)) (/.f64 (/.f64 x 2) (.f64 (/.f64 x (+.f64 (exp.f64 x) -1)) (/.f64 x (+.f64 (exp.f64 x) -1)))))
(.f64 (/.f64 -2 (-.f64 1 (exp.f64 x))) (/.f64 x (.f64 2 (*.f64 (/.f64 x (+.f64 (exp.f64 x) -1)) (/.f64 x (+.f64 (exp.f64 x) -1))))))
(*.f64 (/.f64 (/.f64 (+.f64 (exp.f64 x) -1) (/.f64 x (+.f64 (exp.f64 x) -1))) 2) (/.f64 2 (+.f64 (exp.f64 x) -1)))
(.f64 (/.f64 (.f64 1/2 (+.f64 (exp.f64 x) -1)) (/.f64 x (+.f64 (exp.f64 x) -1))) (/.f64 2 (+.f64 (exp.f64 x) -1)))
(*.f64 (/.f64 (/.f64 (+.f64 (exp.f64 x) -1) x) 4) 4)
(/.f64 (+.f64 (exp.f64 x) -1) x)
(.f64 (/.f64 1 (.f64 x 8)) (*.f64 (+.f64 (exp.f64 x) -1) 8))
(/.f64 (+.f64 (exp.f64 x) -1) x)
(.f64 (/.f64 1 (.f64 x -2)) (*.f64 2 (-.f64 1 (exp.f64 x))))
(.f64 2 (.f64 (-.f64 1 (exp.f64 x)) (/.f64 -1/2 x)))
(.f64 (-.f64 1 (exp.f64 x)) (.f64 (/.f64 -1/2 x) 2))
(pow.f64 (/.f64 (+.f64 (exp.f64 x) -1) x) 1)
(/.f64 (+.f64 (exp.f64 x) -1) x)
(neg.f64 (/.f64 (-.f64 1 (exp.f64 x)) x))
(/.f64 (+.f64 (exp.f64 x) -1) x)
(neg.f64 (/.f64 (/.f64 x (-.f64 1 (exp.f64 x))) (*.f64 (/.f64 x (+.f64 (exp.f64 x) -1)) (/.f64 x (+.f64 (exp.f64 x) -1)))))
(neg.f64 (/.f64 (/.f64 x (*.f64 (/.f64 x (+.f64 (exp.f64 x) -1)) (/.f64 x (+.f64 (exp.f64 x) -1)))) (-.f64 1 (exp.f64 x))))
(/.f64 (/.f64 x (*.f64 (/.f64 x (+.f64 (exp.f64 x) -1)) (/.f64 x (+.f64 (exp.f64 x) -1)))) (+.f64 (exp.f64 x) -1))
(/.f64 (/.f64 (+.f64 (exp.f64 x) -1) (/.f64 x (+.f64 (exp.f64 x) -1))) (+.f64 (exp.f64 x) -1))

eval36.0ms (0.3%)

Compiler: Compiled 2256 to 1500 computations (33.5% saved)

prune912.0ms (6.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	155	5	160
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	155	6	161

Error

0.0b

Counts

161 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	39.2b	(/.f64 (-.f64 (exp.f64 x) 1) x)
▶	22.3b	(+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6))
▶	22.7b	(+.f64 (.f64 x 1/2) (+.f64 1 (+.f64 (.f64 (pow.f64 x 3) 1/24) (*.f64 (pow.f64 x 2) 1/6))))
▶	22.5b	(+.f64 (*.f64 1/2 x) 1)
▶	39.2b	(*.f64 (/.f64 1 (/.f64 1 (+.f64 (exp.f64 x) -1))) (/.f64 1 x))
	22.0b	1

Compiler

Compiled 58 to 48 computations (17.2% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 (exp.f64 x) -1))
✓	0.0b	(/.f64 1 (/.f64 1 (+.f64 (exp.f64 x) -1)))
✓	0.0b	(*.f64 (/.f64 1 (/.f64 1 (+.f64 (exp.f64 x) -1))) (/.f64 1 x))
✓	3.9b	(+.f64 (exp.f64 x) -1)

Compiler

Compiled 39 to 27 computations (30.8% saved)

series2.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite235.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1030×	`exponential.json-3`
1030×	`rational.json-1`
1030×	`rational.json-2`
1030×	`rational.json-4`
1030×	`rational.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	62
1	96	56
2	222	56
3	575	56
4	2704	56

Stop Event

1×	node limit

Counts

4 → 424

Calls

Call 1

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

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

simplify695.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

1238×	`rational.json-simplify-50`
964×	`rational.json-simplify-35`
848×	`rational.json-simplify-51`
740×	`rational.json-simplify-2`
526×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	750	18398
1	3295	18090
2	5417	17168
3	7611	17116

Stop Event

1×	node limit

Counts

472 → 708

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 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
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 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1/2)
(-.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 x)) 1/2)
(-.f64 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))) 1/2)
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(-.f64 (exp.f64 x) 1)
(-.f64 (+.f64 (exp.f64 x) -1) 0)
(-.f64 0 (-.f64 1 (exp.f64 x)))
(*.f64 -1 (-.f64 1 (exp.f64 x)))
(*.f64 (+.f64 (exp.f64 x) -1) 1)
(.f64 (+.f64 (exp.f64 x) -1) (.f64 (+.f64 (exp.f64 x) -1) (/.f64 -1 (-.f64 1 (exp.f64 x)))))
(*.f64 (+.f64 (exp.f64 x) -1) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))
(*.f64 1 (+.f64 (exp.f64 x) -1))
(.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) (.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))
(*.f64 2 (/.f64 (+.f64 (exp.f64 x) -1) 2))
(.f64 2 (/.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) (.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) (/.f64 -2 (-.f64 1 (exp.f64 x))))))
(.f64 (+.f64 (.f64 (exp.f64 x) 2) -2) 1/2)
(.f64 (/.f64 -2 (-.f64 1 (exp.f64 x))) (/.f64 1 (.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) (/.f64 -2 (-.f64 1 (exp.f64 x))))))
(.f64 (.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 -1 (-.f64 1 (exp.f64 x))))
(.f64 (/.f64 -1 (.f64 (+.f64 (exp.f64 x) -1) (-.f64 1 (exp.f64 x)))) (/.f64 (+.f64 (exp.f64 x) -1) (/.f64 -1 (*.f64 (+.f64 (exp.f64 x) -1) (-.f64 1 (exp.f64 x))))))
(.f64 (.f64 (+.f64 (exp.f64 x) -1) 4) 1/4)
(*.f64 (-.f64 1 (exp.f64 x)) -1)
(.f64 (.f64 (+.f64 (exp.f64 x) -1) (/.f64 -1 (-.f64 1 (exp.f64 x)))) (+.f64 (exp.f64 x) -1))
(*.f64 (/.f64 (+.f64 (exp.f64 x) -1) (/.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) 2)) (/.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) 2))
(.f64 1/2 (+.f64 (.f64 (exp.f64 x) 2) -2))
(.f64 (/.f64 2 (.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (/.f64 (+.f64 (exp.f64 x) -1) (*.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) (/.f64 -2 (-.f64 1 (exp.f64 x))))))
(*.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (+.f64 (exp.f64 x) -1))
(.f64 (/.f64 (+.f64 (exp.f64 x) -1) (/.f64 -1 (.f64 (+.f64 (exp.f64 x) -1) (-.f64 1 (exp.f64 x))))) (/.f64 -1 (*.f64 (+.f64 (exp.f64 x) -1) (-.f64 1 (exp.f64 x)))))
(.f64 1/4 (.f64 (+.f64 (exp.f64 x) -1) 4))
(.f64 (/.f64 1 (.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) (/.f64 -2 (-.f64 1 (exp.f64 x))))) (/.f64 -2 (-.f64 1 (exp.f64 x))))
(*.f64 (/.f64 (+.f64 (exp.f64 x) -1) 2) 2)
(*.f64 (/.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) 2) (/.f64 (+.f64 (exp.f64 x) -1) (/.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) 2)))
(.f64 (/.f64 (+.f64 (exp.f64 x) -1) (.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) (/.f64 -2 (-.f64 1 (exp.f64 x))))) (/.f64 2 (*.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))))
(.f64 (/.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) (.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) (/.f64 -2 (-.f64 1 (exp.f64 x))))) 2)
(/.f64 -1 (neg.f64 (/.f64 -1 (-.f64 1 (exp.f64 x)))))
(/.f64 -1 (/.f64 (-.f64 1 (exp.f64 x)) (*.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))))
(/.f64 -1 (.f64 (/.f64 -1 (.f64 (+.f64 (exp.f64 x) -1) (-.f64 1 (exp.f64 x)))) (-.f64 1 (exp.f64 x))))
(/.f64 (+.f64 (exp.f64 x) -1) 1)
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(/.f64 (neg.f64 (/.f64 (/.f64 2 x) (+.f64 (exp.f64 x) -1))) (-.f64 0 (/.f64 2 (*.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))))
(/.f64 (neg.f64 (/.f64 (/.f64 2 x) (+.f64 (.f64 (exp.f64 x) 2) -2))) (neg.f64 (/.f64 -1 (.f64 (+.f64 (exp.f64 x) -1) (-.f64 1 (exp.f64 x))))))
(/.f64 (neg.f64 (/.f64 (/.f64 4 x) 2)) (neg.f64 (/.f64 -2 (-.f64 1 (exp.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 1 x) 2))) (/.f64 -2 (-.f64 1 (exp.f64 x))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 1 x) 2))) (-.f64 0 (neg.f64 (/.f64 -2 (-.f64 1 (exp.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 -1 x))) (neg.f64 (/.f64 -1 (-.f64 1 (exp.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 2 x))) (/.f64 -2 (-.f64 1 (exp.f64 x))))
(/.f64 (neg.f64 (neg.f64 (/.f64 2 x))) (-.f64 0 (neg.f64 (/.f64 -2 (-.f64 1 (exp.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 4 x))) (*.f64 2 (/.f64 -2 (-.f64 1 (exp.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (.f64 (+.f64 (exp.f64 x) -1) 4))) (.f64 x 4))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (/.f64 1 x)))) (neg.f64 (/.f64 -1 (-.f64 1 (exp.f64 x)))))
(pow.f64 (/.f64 (+.f64 (exp.f64 x) -1) x) 1)
(neg.f64 (/.f64 (-.f64 1 (exp.f64 x)) x))
(+.f64 (exp.f64 x) -1)
(+.f64 -1 (exp.f64 x))
(+.f64 -1 (-.f64 1 (-.f64 1 (exp.f64 x))))
(+.f64 (+.f64 (exp.f64 x) -1) 0)
(+.f64 (+.f64 (exp.f64 x) -1) (/.f64 0 (*.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))))
(+.f64 (+.f64 (exp.f64 x) -1) (/.f64 0 (/.f64 -1 (*.f64 (+.f64 (exp.f64 x) -1) (-.f64 1 (exp.f64 x))))))
(+.f64 0 (+.f64 (exp.f64 x) -1))
(-.f64 (exp.f64 x) 1)
(-.f64 (+.f64 (exp.f64 x) -1) 0)
(-.f64 0 (-.f64 1 (exp.f64 x)))
(*.f64 -1 (-.f64 1 (exp.f64 x)))
(*.f64 (+.f64 (exp.f64 x) -1) 1)
(.f64 (+.f64 (exp.f64 x) -1) (.f64 (+.f64 (exp.f64 x) -1) (/.f64 -1 (-.f64 1 (exp.f64 x)))))
(*.f64 (+.f64 (exp.f64 x) -1) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))
(*.f64 1 (+.f64 (exp.f64 x) -1))
(.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) (.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))
(*.f64 2 (/.f64 (+.f64 (exp.f64 x) -1) 2))
(.f64 2 (/.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) (.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) (/.f64 -2 (-.f64 1 (exp.f64 x))))))
(.f64 (+.f64 (.f64 (exp.f64 x) 2) -2) 1/2)
(.f64 (/.f64 -2 (-.f64 1 (exp.f64 x))) (/.f64 1 (.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) (/.f64 -2 (-.f64 1 (exp.f64 x))))))
(.f64 (.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 -1 (-.f64 1 (exp.f64 x))))
(.f64 (/.f64 -1 (.f64 (+.f64 (exp.f64 x) -1) (-.f64 1 (exp.f64 x)))) (/.f64 (+.f64 (exp.f64 x) -1) (/.f64 -1 (*.f64 (+.f64 (exp.f64 x) -1) (-.f64 1 (exp.f64 x))))))
(.f64 (.f64 (+.f64 (exp.f64 x) -1) 4) 1/4)
(*.f64 (-.f64 1 (exp.f64 x)) -1)
(.f64 (.f64 (+.f64 (exp.f64 x) -1) (/.f64 -1 (-.f64 1 (exp.f64 x)))) (+.f64 (exp.f64 x) -1))
(*.f64 (/.f64 (+.f64 (exp.f64 x) -1) (/.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) 2)) (/.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) 2))
(.f64 1/2 (+.f64 (.f64 (exp.f64 x) 2) -2))
(.f64 (/.f64 2 (.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (/.f64 (+.f64 (exp.f64 x) -1) (*.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) (/.f64 -2 (-.f64 1 (exp.f64 x))))))
(*.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (+.f64 (exp.f64 x) -1))
(.f64 (/.f64 (+.f64 (exp.f64 x) -1) (/.f64 -1 (.f64 (+.f64 (exp.f64 x) -1) (-.f64 1 (exp.f64 x))))) (/.f64 -1 (*.f64 (+.f64 (exp.f64 x) -1) (-.f64 1 (exp.f64 x)))))
(.f64 1/4 (.f64 (+.f64 (exp.f64 x) -1) 4))
(.f64 (/.f64 1 (.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) (/.f64 -2 (-.f64 1 (exp.f64 x))))) (/.f64 -2 (-.f64 1 (exp.f64 x))))
(*.f64 (/.f64 (+.f64 (exp.f64 x) -1) 2) 2)
(*.f64 (/.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) 2) (/.f64 (+.f64 (exp.f64 x) -1) (/.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) 2)))
(.f64 (/.f64 (+.f64 (exp.f64 x) -1) (.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) (/.f64 -2 (-.f64 1 (exp.f64 x))))) (/.f64 2 (*.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))))
(.f64 (/.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) (.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) (/.f64 -2 (-.f64 1 (exp.f64 x))))) 2)
(pow.f64 (+.f64 (exp.f64 x) -1) 1)
(neg.f64 (-.f64 1 (exp.f64 x)))
(+.f64 -1 (-.f64 1 (neg.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))))))
(+.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) 0)
(+.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) (/.f64 0 (*.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))))
(+.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) (/.f64 0 (/.f64 -1 (*.f64 (+.f64 (exp.f64 x) -1) (-.f64 1 (exp.f64 x))))))
(+.f64 0 (/.f64 -1 (-.f64 1 (exp.f64 x))))
(-.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) 0)
(-.f64 0 (neg.f64 (/.f64 -1 (-.f64 1 (exp.f64 x)))))
(*.f64 -1 (neg.f64 (/.f64 -1 (-.f64 1 (exp.f64 x)))))
(.f64 (+.f64 (exp.f64 x) -1) (/.f64 -1 (.f64 (+.f64 (exp.f64 x) -1) (-.f64 1 (exp.f64 x)))))
(*.f64 1 (/.f64 -1 (-.f64 1 (exp.f64 x))))
(*.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) 1)
(.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) (.f64 (+.f64 (exp.f64 x) -1) (/.f64 -1 (-.f64 1 (exp.f64 x)))))
(*.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) (/.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) (/.f64 -1 (-.f64 1 (exp.f64 x)))))
(.f64 2 (/.f64 (+.f64 (exp.f64 x) -1) (.f64 (+.f64 (exp.f64 x) -1) (+.f64 (*.f64 (exp.f64 x) 2) -2))))
(*.f64 2 (/.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) 2))
(.f64 (+.f64 (.f64 (exp.f64 x) 2) -2) (/.f64 1 (.f64 (+.f64 (exp.f64 x) -1) (+.f64 (.f64 (exp.f64 x) 2) -2))))
(*.f64 (/.f64 -2 (-.f64 1 (exp.f64 x))) 1/2)
(.f64 (.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) (*.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))))
(.f64 (/.f64 -1 (.f64 (+.f64 (exp.f64 x) -1) (-.f64 1 (exp.f64 x)))) (+.f64 (exp.f64 x) -1))
(.f64 (.f64 2 (/.f64 -2 (-.f64 1 (exp.f64 x)))) 1/4)
(*.f64 (neg.f64 (/.f64 -1 (-.f64 1 (exp.f64 x)))) -1)
(.f64 (.f64 (+.f64 (exp.f64 x) -1) (/.f64 -1 (-.f64 1 (exp.f64 x)))) (/.f64 -1 (-.f64 1 (exp.f64 x))))
(.f64 (/.f64 (+.f64 (exp.f64 x) -1) (/.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) 2)) (/.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) (.f64 (+.f64 (exp.f64 x) -1) (+.f64 (*.f64 (exp.f64 x) 2) -2))))
(*.f64 1/2 (/.f64 -2 (-.f64 1 (exp.f64 x))))
(.f64 (/.f64 2 (.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (/.f64 (+.f64 (exp.f64 x) -1) 2))
(.f64 (/.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) (.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (*.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))
(*.f64 (/.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) (/.f64 -1 (-.f64 1 (exp.f64 x)))) (/.f64 -1 (-.f64 1 (exp.f64 x))))
(.f64 1/4 (.f64 2 (/.f64 -2 (-.f64 1 (exp.f64 x)))))
(.f64 (/.f64 1 (.f64 (+.f64 (exp.f64 x) -1) (+.f64 (.f64 (exp.f64 x) 2) -2))) (+.f64 (.f64 (exp.f64 x) 2) -2))
(.f64 (/.f64 (+.f64 (exp.f64 x) -1) 2) (/.f64 2 (.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))))
(.f64 (/.f64 (+.f64 (exp.f64 x) -1) (.f64 (+.f64 (exp.f64 x) -1) (+.f64 (*.f64 (exp.f64 x) 2) -2))) 2)
(.f64 (/.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) (.f64 (+.f64 (exp.f64 x) -1) (+.f64 (*.f64 (exp.f64 x) 2) -2))) (/.f64 (+.f64 (exp.f64 x) -1) (/.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) 2)))
(*.f64 (/.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) 2) 2)
(pow.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) 1)
(neg.f64 (neg.f64 (/.f64 -1 (-.f64 1 (exp.f64 x)))))
(neg.f64 (/.f64 (-.f64 1 (exp.f64 x)) (*.f64 (+.f64 (exp.f64 x) -1) (+.f64 (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 x (.f64 1/24 (pow.f64 x 4))) (+.f64 (.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (+.f64 (.f64 1/6 (pow.f64 x 3)) (*.f64 1/24 (pow.f64 x 4)))))
(-.f64 (exp.f64 x) 1)
(+.f64 (exp.f64 x) -1)
(-.f64 (exp.f64 x) 1)
(+.f64 (exp.f64 x) -1)
(-.f64 (exp.f64 x) 1)
(+.f64 (exp.f64 x) -1)
(-.f64 (exp.f64 x) 1)
(+.f64 (exp.f64 x) -1)
(-.f64 (exp.f64 x) 1)
(+.f64 (exp.f64 x) -1)
(-.f64 (exp.f64 x) 1)
(+.f64 (exp.f64 x) -1)
(-.f64 (exp.f64 x) 1)
(+.f64 (exp.f64 x) -1)
(-.f64 (exp.f64 x) 1)
(+.f64 (exp.f64 x) -1)
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 1 (*.f64 x 1/2))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(+.f64 (.f64 x 1/2) (+.f64 1 (.f64 (pow.f64 x 2) 1/6)))
(+.f64 1 (+.f64 (.f64 (pow.f64 x 2) 1/6) (.f64 x 1/2)))
(+.f64 1 (+.f64 (.f64 x 1/2) (.f64 (pow.f64 x 2) 1/6)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
(+.f64 (.f64 x 1/2) (+.f64 (.f64 (pow.f64 x 2) 1/6) (+.f64 1 (*.f64 (pow.f64 x 3) 1/24))))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (+.f64 (exp.f64 x) -1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (+.f64 (exp.f64 x) -1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (+.f64 (exp.f64 x) -1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (+.f64 (exp.f64 x) -1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (+.f64 (exp.f64 x) -1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (+.f64 (exp.f64 x) -1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (+.f64 (exp.f64 x) -1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (+.f64 (exp.f64 x) -1) x)
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 x (.f64 1/24 (pow.f64 x 4))) (+.f64 (.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (+.f64 (.f64 1/6 (pow.f64 x 3)) (*.f64 1/24 (pow.f64 x 4)))))
(-.f64 (exp.f64 x) 1)
(+.f64 (exp.f64 x) -1)
(-.f64 (exp.f64 x) 1)
(+.f64 (exp.f64 x) -1)
(-.f64 (exp.f64 x) 1)
(+.f64 (exp.f64 x) -1)
(-.f64 (exp.f64 x) 1)
(+.f64 (exp.f64 x) -1)
(-.f64 (exp.f64 x) 1)
(+.f64 (exp.f64 x) -1)
(-.f64 (exp.f64 x) 1)
(+.f64 (exp.f64 x) -1)
(-.f64 (exp.f64 x) 1)
(+.f64 (exp.f64 x) -1)
(-.f64 (exp.f64 x) 1)
(+.f64 (exp.f64 x) -1)
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1/2)
(-.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 x)) 1/2)
(+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) 1/2))
(-.f64 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))) 1/2)
(-.f64 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (.f64 (pow.f64 x 3) -1/720)) 1/2)
(+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (-.f64 (.f64 (pow.f64 x 3) -1/720) 1/2))
(+.f64 (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720)) (-.f64 (/.f64 1 x) 1/2))
(+.f64 (-.f64 (/.f64 1 x) 1/2) (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720)))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (+.f64 (exp.f64 x) -1))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (+.f64 (exp.f64 x) -1))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (+.f64 (exp.f64 x) -1))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (+.f64 (exp.f64 x) -1))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (+.f64 (exp.f64 x) -1))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (+.f64 (exp.f64 x) -1))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (+.f64 (exp.f64 x) -1))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (+.f64 (exp.f64 x) -1))
(-.f64 (exp.f64 x) 1)
(+.f64 (exp.f64 x) -1)
(-.f64 (+.f64 (exp.f64 x) -1) 0)
(+.f64 (exp.f64 x) -1)
(-.f64 0 (-.f64 1 (exp.f64 x)))
(+.f64 (exp.f64 x) -1)
(*.f64 -1 (-.f64 1 (exp.f64 x)))
(+.f64 (exp.f64 x) -1)
(*.f64 (+.f64 (exp.f64 x) -1) 1)
(+.f64 (exp.f64 x) -1)
(.f64 (+.f64 (exp.f64 x) -1) (.f64 (+.f64 (exp.f64 x) -1) (/.f64 -1 (-.f64 1 (exp.f64 x)))))
(+.f64 (exp.f64 x) -1)
(*.f64 (+.f64 (exp.f64 x) -1) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))
(+.f64 (exp.f64 x) -1)
(*.f64 1 (+.f64 (exp.f64 x) -1))
(+.f64 (exp.f64 x) -1)
(.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) (.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))
(+.f64 (exp.f64 x) -1)
(*.f64 2 (/.f64 (+.f64 (exp.f64 x) -1) 2))
(.f64 2 (/.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) (.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) (/.f64 -2 (-.f64 1 (exp.f64 x))))))
(.f64 2 (/.f64 (/.f64 1 (+.f64 (exp.f64 x) -1)) (.f64 (/.f64 1 (+.f64 (exp.f64 x) -1)) (/.f64 2 (+.f64 (exp.f64 x) -1)))))
(*.f64 2 (/.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 2 (+.f64 (exp.f64 x) -1))))
(.f64 (+.f64 (.f64 (exp.f64 x) 2) -2) 1/2)
(.f64 1/2 (+.f64 -2 (.f64 2 (exp.f64 x))))
(.f64 (/.f64 -2 (-.f64 1 (exp.f64 x))) (/.f64 1 (.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) (/.f64 -2 (-.f64 1 (exp.f64 x))))))
(+.f64 (exp.f64 x) -1)
(.f64 (.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 -1 (-.f64 1 (exp.f64 x))))
(+.f64 (exp.f64 x) -1)
(.f64 (/.f64 -1 (.f64 (+.f64 (exp.f64 x) -1) (-.f64 1 (exp.f64 x)))) (/.f64 (+.f64 (exp.f64 x) -1) (/.f64 -1 (*.f64 (+.f64 (exp.f64 x) -1) (-.f64 1 (exp.f64 x))))))
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(*.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) (/.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) (/.f64 -1 (-.f64 1 (exp.f64 x)))))
(/.f64 1 (+.f64 (exp.f64 x) -1))
(.f64 2 (/.f64 (+.f64 (exp.f64 x) -1) (.f64 (+.f64 (exp.f64 x) -1) (+.f64 (*.f64 (exp.f64 x) 2) -2))))
(.f64 2 (/.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (+.f64 -2 (.f64 2 (exp.f64 x)))))
(*.f64 2 (/.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) 2))
(*.f64 2 (/.f64 -1/2 (-.f64 1 (exp.f64 x))))
(*.f64 2 (/.f64 1/2 (+.f64 (exp.f64 x) -1)))
(.f64 (+.f64 (.f64 (exp.f64 x) 2) -2) (/.f64 1 (.f64 (+.f64 (exp.f64 x) -1) (+.f64 (.f64 (exp.f64 x) 2) -2))))
(.f64 (+.f64 -2 (.f64 2 (exp.f64 x))) (/.f64 (/.f64 1 (+.f64 (exp.f64 x) -1)) (+.f64 -2 (*.f64 2 (exp.f64 x)))))
(.f64 (+.f64 -2 (.f64 2 (exp.f64 x))) (/.f64 1 (.f64 (+.f64 (exp.f64 x) -1) (+.f64 -2 (.f64 2 (exp.f64 x))))))
(*.f64 (/.f64 -2 (-.f64 1 (exp.f64 x))) 1/2)
(*.f64 1/2 (/.f64 2 (+.f64 (exp.f64 x) -1)))
(.f64 (.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) (*.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))))
(/.f64 1 (+.f64 (exp.f64 x) -1))
(.f64 (/.f64 -1 (.f64 (+.f64 (exp.f64 x) -1) (-.f64 1 (exp.f64 x)))) (+.f64 (exp.f64 x) -1))
(/.f64 1 (+.f64 (exp.f64 x) -1))
(.f64 (.f64 2 (/.f64 -2 (-.f64 1 (exp.f64 x)))) 1/4)
(*.f64 1/2 (/.f64 2 (+.f64 (exp.f64 x) -1)))
(*.f64 (neg.f64 (/.f64 -1 (-.f64 1 (exp.f64 x)))) -1)
(/.f64 1 (+.f64 (exp.f64 x) -1))
(.f64 (.f64 (+.f64 (exp.f64 x) -1) (/.f64 -1 (-.f64 1 (exp.f64 x)))) (/.f64 -1 (-.f64 1 (exp.f64 x))))
(/.f64 1 (+.f64 (exp.f64 x) -1))
(.f64 (/.f64 (+.f64 (exp.f64 x) -1) (/.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) 2)) (/.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) (.f64 (+.f64 (exp.f64 x) -1) (+.f64 (*.f64 (exp.f64 x) 2) -2))))
(.f64 (/.f64 (+.f64 (exp.f64 x) -1) (/.f64 -1/2 (-.f64 1 (exp.f64 x)))) (/.f64 (/.f64 1 (+.f64 (exp.f64 x) -1)) (.f64 (+.f64 (exp.f64 x) -1) (+.f64 -2 (*.f64 2 (exp.f64 x))))))
(.f64 (/.f64 (+.f64 (exp.f64 x) -1) (/.f64 1/2 (+.f64 (exp.f64 x) -1))) (/.f64 (/.f64 1 (+.f64 (exp.f64 x) -1)) (.f64 (+.f64 (exp.f64 x) -1) (+.f64 -2 (*.f64 2 (exp.f64 x))))))
(*.f64 1/2 (/.f64 -2 (-.f64 1 (exp.f64 x))))
(*.f64 1/2 (/.f64 2 (+.f64 (exp.f64 x) -1)))
(.f64 (/.f64 2 (.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (/.f64 (+.f64 (exp.f64 x) -1) 2))
(.f64 (/.f64 (+.f64 (exp.f64 x) -1) 2) (/.f64 2 (.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))))
(.f64 (/.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) (.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (*.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))
(/.f64 1 (+.f64 (exp.f64 x) -1))
(*.f64 (/.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) (/.f64 -1 (-.f64 1 (exp.f64 x)))) (/.f64 -1 (-.f64 1 (exp.f64 x))))
(/.f64 1 (+.f64 (exp.f64 x) -1))
(.f64 1/4 (.f64 2 (/.f64 -2 (-.f64 1 (exp.f64 x)))))
(*.f64 1/2 (/.f64 2 (+.f64 (exp.f64 x) -1)))
(.f64 (/.f64 1 (.f64 (+.f64 (exp.f64 x) -1) (+.f64 (.f64 (exp.f64 x) 2) -2))) (+.f64 (.f64 (exp.f64 x) 2) -2))
(.f64 (+.f64 -2 (.f64 2 (exp.f64 x))) (/.f64 (/.f64 1 (+.f64 (exp.f64 x) -1)) (+.f64 -2 (*.f64 2 (exp.f64 x)))))
(.f64 (+.f64 -2 (.f64 2 (exp.f64 x))) (/.f64 1 (.f64 (+.f64 (exp.f64 x) -1) (+.f64 -2 (.f64 2 (exp.f64 x))))))
(.f64 (/.f64 (+.f64 (exp.f64 x) -1) 2) (/.f64 2 (.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))))
(.f64 (/.f64 (+.f64 (exp.f64 x) -1) (.f64 (+.f64 (exp.f64 x) -1) (+.f64 (*.f64 (exp.f64 x) 2) -2))) 2)
(.f64 2 (/.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (+.f64 -2 (.f64 2 (exp.f64 x)))))
(.f64 (/.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) (.f64 (+.f64 (exp.f64 x) -1) (+.f64 (*.f64 (exp.f64 x) 2) -2))) (/.f64 (+.f64 (exp.f64 x) -1) (/.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) 2)))
(.f64 (/.f64 (+.f64 (exp.f64 x) -1) (/.f64 -1/2 (-.f64 1 (exp.f64 x)))) (/.f64 (/.f64 1 (+.f64 (exp.f64 x) -1)) (.f64 (+.f64 (exp.f64 x) -1) (+.f64 -2 (*.f64 2 (exp.f64 x))))))
(.f64 (/.f64 (+.f64 (exp.f64 x) -1) (/.f64 1/2 (+.f64 (exp.f64 x) -1))) (/.f64 (/.f64 1 (+.f64 (exp.f64 x) -1)) (.f64 (+.f64 (exp.f64 x) -1) (+.f64 -2 (*.f64 2 (exp.f64 x))))))
(*.f64 (/.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) 2) 2)
(*.f64 2 (/.f64 -1/2 (-.f64 1 (exp.f64 x))))
(*.f64 2 (/.f64 1/2 (+.f64 (exp.f64 x) -1)))
(pow.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) 1)
(/.f64 1 (+.f64 (exp.f64 x) -1))
(neg.f64 (neg.f64 (/.f64 -1 (-.f64 1 (exp.f64 x)))))
(/.f64 1 (+.f64 (exp.f64 x) -1))
(neg.f64 (/.f64 (-.f64 1 (exp.f64 x)) (*.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))))

localize5.0ms (0%)

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

localize72.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 x 1/2) (+.f64 1 (+.f64 (.f64 (pow.f64 x 3) 1/24) (*.f64 (pow.f64 x 2) 1/6))))
✓	0.1b	(*.f64 (pow.f64 x 3) 1/24)
✓	0.2b	(*.f64 (pow.f64 x 2) 1/6)
✓	11.5b	(+.f64 (.f64 (pow.f64 x 3) 1/24) (.f64 (pow.f64 x 2) 1/6))

Compiler

Compiled 68 to 55 computations (19.1% saved)

series3.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 (pow.f64 x 3) 1/24)
0.0ms	x	@	0	(+.f64 (.f64 (pow.f64 x 3) 1/24) (.f64 (pow.f64 x 2) 1/6))
0.0ms	x	@	inf	(+.f64 (.f64 (pow.f64 x 3) 1/24) (.f64 (pow.f64 x 2) 1/6))
0.0ms	x	@	inf	(*.f64 (pow.f64 x 2) 1/6)
0.0ms	x	@	-inf	(*.f64 (pow.f64 x 3) 1/24)

rewrite179.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2440×	`rational.json-simplify-2`
1804×	`rational.json-simplify-35`
1726×	`rational.json-simplify-1`
1278×	`exponential.json-3`
1278×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	106
1	125	106
2	254	106
3	501	106
4	1143	106
5	2552	106
6	3952	106
7	4997	106
8	6182	106
9	6992	106
10	6992	106

Stop Event

1×	node limit

Counts

4 → 71

Calls

Call 1

Inputs
(+.f64 (.f64 (pow.f64 x 3) 1/24) (.f64 (pow.f64 x 2) 1/6))
(*.f64 (pow.f64 x 2) 1/6)
(*.f64 (pow.f64 x 3) 1/24)
(+.f64 (.f64 x 1/2) (+.f64 1 (+.f64 (.f64 (pow.f64 x 3) 1/24) (*.f64 (pow.f64 x 2) 1/6))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (.f64 (pow.f64 x 2) 1/6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (.f64 (pow.f64 x 2) 1/6)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (.f64 (pow.f64 x 2) 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (+.f64 (.f64 (pow.f64 x 3) 1/24) (.f64 (pow.f64 x 2) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 (pow.f64 x 3) 1/24) (.f64 (pow.f64 x 2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (+.f64 (.f64 (pow.f64 x 3) 1/24) (.f64 (pow.f64 x 2) 1/6))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (.f64 (pow.f64 x 2) 1/6)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (.f64 (pow.f64 x 2) 1/6)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/12 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 (pow.f64 x 3) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (.f64 (pow.f64 x 2) 1/6)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (.f64 (pow.f64 x 2) 1/6)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (.f64 (pow.f64 x 2) 1/6)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 (pow.f64 x 3) 1/2)) 1/12)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (.f64 (pow.f64 x 2) 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (+.f64 (.f64 (pow.f64 x 3) 1/24) (.f64 (pow.f64 x 2) 1/6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (.f64 (pow.f64 x 2) 1/6)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (.f64 (pow.f64 x 2) 1/6)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (.f64 (pow.f64 x 2) 1/6)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (.f64 (pow.f64 x 2) 1/6)) 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) 1/24) (.f64 (pow.f64 x 2) 1/6)) 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) 1/24) (.f64 (pow.f64 x 2) 1/6)) 4)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (.f64 (pow.f64 x 2) 1/6)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 x 2) 1/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (pow.f64 x 2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 x 2) 1/12) (.f64 (pow.f64 x 2) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (pow.f64 x 2) 1/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 2) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 2) 1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 2) 2/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (pow.f64 x 2) 2/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) 2/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) 2/3)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) 2/3))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) 2/3)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 2) 1/6) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 x 3) 1/24) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (pow.f64 x 3) 1/24))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 x 3) 1/48) (.f64 (pow.f64 x 3) 1/48))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (pow.f64 x 3) 1/24) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 3) 1/24) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 3) 1/12) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 3) 1/6) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (pow.f64 x 3) 1/6)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 1/6))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 1/6)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 1/6))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 1/6)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 1/24) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (+.f64 (.f64 (pow.f64 x 2) 1/6) (+.f64 (.f64 x 1/2) 1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (+.f64 (.f64 (pow.f64 x 2) 1/6) (.f64 x 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 1/2 (+.f64 (.f64 (pow.f64 x 3) 1/24) (+.f64 (.f64 (pow.f64 x 2) 1/6) (+.f64 (.f64 x 1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (+.f64 (.f64 (pow.f64 x 3) 1/24) (+.f64 (.f64 (pow.f64 x 2) 1/6) (+.f64 (.f64 x 1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 x (+.f64 2 (.f64 2 (+.f64 (.f64 (pow.f64 x 3) 1/24) (.f64 (pow.f64 x 2) 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 (pow.f64 x 3) 1/24) (+.f64 (.f64 (pow.f64 x 2) 1/6) (+.f64 (.f64 x 1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (+.f64 (.f64 (pow.f64 x 2) 1/6) (+.f64 (.f64 x 1/2) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (+.f64 (.f64 (pow.f64 x 3) 1/24) (+.f64 (.f64 (pow.f64 x 2) 1/6) (+.f64 (.f64 x 1/2) 1)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (+.f64 (.f64 (pow.f64 x 2) 1/6) (+.f64 (.f64 x 1/2) 1))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (+.f64 (.f64 (pow.f64 x 2) 1/6) (+.f64 (.f64 x 1/2) 1))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (+.f64 (.f64 (pow.f64 x 3) 1/24) (+.f64 (.f64 (pow.f64 x 2) 1/6) (+.f64 (.f64 x 1/2) 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (+.f64 (.f64 (pow.f64 x 2) 1/6) (+.f64 (.f64 x 1/2) 1))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (+.f64 (.f64 (pow.f64 x 2) 1/6) (+.f64 (.f64 x 1/2) 1))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x (+.f64 2 (.f64 2 (+.f64 (.f64 (pow.f64 x 3) 1/24) (.f64 (pow.f64 x 2) 1/6))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (+.f64 (.f64 (pow.f64 x 2) 1/6) (+.f64 (.f64 x 1/2) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (+.f64 (.f64 (pow.f64 x 3) 1/24) (+.f64 (.f64 (pow.f64 x 2) 1/6) (+.f64 (.f64 x 1/2) 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (+.f64 (.f64 (pow.f64 x 2) 1/6) (+.f64 (.f64 x 1/2) 1))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (+.f64 (.f64 (pow.f64 x 2) 1/6) (+.f64 (.f64 x 1/2) 1))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (+.f64 (.f64 (pow.f64 x 2) 1/6) (+.f64 (.f64 x 1/2) 1))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (+.f64 (.f64 (pow.f64 x 2) 1/6) (+.f64 (.f64 x 1/2) 1))) 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) 1/24) (+.f64 (.f64 (pow.f64 x 2) 1/6) (+.f64 (.f64 x 1/2) 1))) 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) 1/24) (+.f64 (.f64 (pow.f64 x 2) 1/6) (+.f64 (.f64 x 1/2) 1))) 4)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (+.f64 (.f64 (pow.f64 x 2) 1/6) (+.f64 (*.f64 x 1/2) 1))) 1)))))

simplify759.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

3794×	`rational.json-simplify-35`
2758×	`rational.json-simplify-2`
2634×	`rational.json-simplify-51`
1404×	`rational.json-simplify-1`
630×	`rational.json-simplify-43`

Iterations

Useful iterations: 16 (0.0ms)

Iter	Nodes	Cost
0	157	3155
1	380	3155
2	845	3155
3	2390	3155
4	3442	3155
5	3876	3155
6	4226	3155
7	4469	3155
8	4642	3155
9	4790	3155
10	4800	3155
11	4803	3155
12	4803	3155
13	4933	3155
14	5063	3155
15	5193	3155
16	5323	3143
17	7297	3143
18	7445	3143
19	7582	3143
20	7716	3143
21	7845	3143
22	7969	3143

Stop Event

1×	node limit

Counts

119 → 94

Calls

Call 1

Inputs
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 3)))
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 3)))
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 3)))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/24 (pow.f64 x 3))
(*.f64 1/24 (pow.f64 x 3))
(*.f64 1/24 (pow.f64 x 3))
(*.f64 1/24 (pow.f64 x 3))
(*.f64 1/24 (pow.f64 x 3))
(*.f64 1/24 (pow.f64 x 3))
(*.f64 1/24 (pow.f64 x 3))
(*.f64 1/24 (pow.f64 x 3))
(*.f64 1/24 (pow.f64 x 3))
(*.f64 1/24 (pow.f64 x 3))
(*.f64 1/24 (pow.f64 x 3))
(*.f64 1/24 (pow.f64 x 3))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))))
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (.f64 (pow.f64 x 2) 1/6)) 0)
(.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (.f64 (pow.f64 x 2) 1/6)) 1/2))
(.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (*.f64 (pow.f64 x 2) 1/6)) 1)
(.f64 1/2 (.f64 2 (+.f64 (.f64 (pow.f64 x 3) 1/24) (.f64 (pow.f64 x 2) 1/6))))
(.f64 1 (+.f64 (.f64 (pow.f64 x 3) 1/24) (*.f64 (pow.f64 x 2) 1/6)))
(.f64 (.f64 2 (+.f64 (.f64 (pow.f64 x 3) 1/24) (.f64 (pow.f64 x 2) 1/6))) 1/2)
(.f64 4 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (*.f64 (pow.f64 x 2) 1/6)) 4))
(.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (.f64 (pow.f64 x 2) 1/6)) 4) 1/4)
(.f64 1/12 (+.f64 (.f64 2 (pow.f64 x 2)) (*.f64 (pow.f64 x 3) 1/2)))
(.f64 1/4 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (.f64 (pow.f64 x 2) 1/6)) 4))
(.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (.f64 (pow.f64 x 2) 1/6)) 1/2) 2)
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (*.f64 (pow.f64 x 2) 1/6)) 4) 4)
(.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (*.f64 (pow.f64 x 3) 1/2)) 1/12)
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (.f64 (pow.f64 x 2) 1/6)) 1)
(/.f64 (.f64 2 (+.f64 (.f64 (pow.f64 x 3) 1/24) (*.f64 (pow.f64 x 2) 1/6))) 2)
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (*.f64 (pow.f64 x 2) 1/6)) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (.f64 (pow.f64 x 2) 1/6)) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (*.f64 (pow.f64 x 2) 1/6)) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (.f64 (pow.f64 x 2) 1/6)) 4)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (*.f64 (pow.f64 x 2) 1/6)) 4))))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (.f64 (pow.f64 x 2) 1/6)) 4)))))) 128)
(pow.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (.f64 (pow.f64 x 2) 1/6)) 1)
(+.f64 (*.f64 (pow.f64 x 2) 1/6) 0)
(+.f64 0 (*.f64 (pow.f64 x 2) 1/6))
(+.f64 (.f64 (pow.f64 x 2) 1/12) (.f64 (pow.f64 x 2) 1/12))
(-.f64 (*.f64 (pow.f64 x 2) 1/6) 0)
(/.f64 (*.f64 (pow.f64 x 2) 1/6) 1)
(/.f64 (*.f64 (pow.f64 x 2) 1/3) 2)
(/.f64 (*.f64 (pow.f64 x 2) 2/3) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 x 2) 2/3)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 2) 2/3))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) 2/3)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 2) 2/3))))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) 2/3)))))) 128)
(pow.f64 (*.f64 (pow.f64 x 2) 1/6) 1)
(+.f64 (*.f64 (pow.f64 x 3) 1/24) 0)
(+.f64 0 (*.f64 (pow.f64 x 3) 1/24))
(+.f64 (.f64 (pow.f64 x 3) 1/48) (.f64 (pow.f64 x 3) 1/48))
(-.f64 (*.f64 (pow.f64 x 3) 1/24) 0)
(/.f64 (*.f64 (pow.f64 x 3) 1/24) 1)
(/.f64 (*.f64 (pow.f64 x 3) 1/12) 2)
(/.f64 (*.f64 (pow.f64 x 3) 1/6) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 x 3) 1/6)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 3) 1/6))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 1/6)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 3) 1/6))))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 1/6)))))) 128)
(pow.f64 (*.f64 (pow.f64 x 3) 1/24) 1)
(-.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (+.f64 (.f64 (pow.f64 x 2) 1/6) (+.f64 (*.f64 x 1/2) 1))) 0)
(-.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (+.f64 (.f64 (pow.f64 x 2) 1/6) (*.f64 x 1/2))) -1)
(.f64 2 (.f64 1/2 (+.f64 (.f64 (pow.f64 x 3) 1/24) (+.f64 (.f64 (pow.f64 x 2) 1/6) (+.f64 (*.f64 x 1/2) 1)))))
(.f64 1/2 (.f64 2 (+.f64 (.f64 (pow.f64 x 3) 1/24) (+.f64 (.f64 (pow.f64 x 2) 1/6) (+.f64 (*.f64 x 1/2) 1)))))
(.f64 1/2 (+.f64 x (+.f64 2 (.f64 2 (+.f64 (.f64 (pow.f64 x 3) 1/24) (.f64 (pow.f64 x 2) 1/6))))))
(.f64 1 (+.f64 (.f64 (pow.f64 x 3) 1/24) (+.f64 (.f64 (pow.f64 x 2) 1/6) (+.f64 (.f64 x 1/2) 1))))
(.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (+.f64 (.f64 (pow.f64 x 2) 1/6) (+.f64 (.f64 x 1/2) 1))) 1)
(.f64 (.f64 2 (+.f64 (.f64 (pow.f64 x 3) 1/24) (+.f64 (.f64 (pow.f64 x 2) 1/6) (+.f64 (*.f64 x 1/2) 1)))) 1/2)
(.f64 4 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (+.f64 (.f64 (pow.f64 x 2) 1/6) (+.f64 (.f64 x 1/2) 1))) 4))
(.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (+.f64 (.f64 (pow.f64 x 2) 1/6) (+.f64 (*.f64 x 1/2) 1))) 4) 1/4)
(.f64 (.f64 1/2 (+.f64 (.f64 (pow.f64 x 3) 1/24) (+.f64 (.f64 (pow.f64 x 2) 1/6) (+.f64 (*.f64 x 1/2) 1)))) 2)
(.f64 1/4 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (+.f64 (.f64 (pow.f64 x 2) 1/6) (+.f64 (*.f64 x 1/2) 1))) 4))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (+.f64 (.f64 (pow.f64 x 2) 1/6) (+.f64 (.f64 x 1/2) 1))) 4) 4)
(.f64 (+.f64 x (+.f64 2 (.f64 2 (+.f64 (.f64 (pow.f64 x 3) 1/24) (.f64 (pow.f64 x 2) 1/6))))) 1/2)
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (+.f64 (.f64 (pow.f64 x 2) 1/6) (+.f64 (*.f64 x 1/2) 1))) 1)
(/.f64 (.f64 2 (+.f64 (.f64 (pow.f64 x 3) 1/24) (+.f64 (.f64 (pow.f64 x 2) 1/6) (+.f64 (.f64 x 1/2) 1)))) 2)
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (+.f64 (.f64 (pow.f64 x 2) 1/6) (+.f64 (.f64 x 1/2) 1))) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (+.f64 (.f64 (pow.f64 x 2) 1/6) (+.f64 (*.f64 x 1/2) 1))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (+.f64 (.f64 (pow.f64 x 2) 1/6) (+.f64 (.f64 x 1/2) 1))) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (+.f64 (.f64 (pow.f64 x 2) 1/6) (+.f64 (*.f64 x 1/2) 1))) 4)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (+.f64 (.f64 (pow.f64 x 2) 1/6) (+.f64 (.f64 x 1/2) 1))) 4))))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (+.f64 (.f64 (pow.f64 x 2) 1/6) (+.f64 (*.f64 x 1/2) 1))) 4)))))) 128)
(pow.f64 (+.f64 (.f64 (pow.f64 x 3) 1/24) (+.f64 (.f64 (pow.f64 x 2) 1/6) (+.f64 (*.f64 x 1/2) 1))) 1)

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

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 x 2)
✓	0.0b	(+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6))
	0.2b	(*.f64 (pow.f64 x 2) 1/6)

Compiler

Compiled 33 to 26 computations (21.2% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(pow.f64 x 2)
0.0ms	x	@	inf	(pow.f64 x 2)
0.0ms	x	@	0	(+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6))
0.0ms	x	@	inf	(+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6))
0.0ms	x	@	-inf	(+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6))

rewrite188.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2366×	`rational.json-simplify-2`
1634×	`rational.json-simplify-1`
1398×	`rational.json-simplify-35`
1312×	`exponential.json-3`
1312×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	89	38
2	178	38
3	333	38
4	663	38
5	1689	38
6	3496	38
7	4936	38
8	6047	38
9	6916	38
10	6916	38
11	7581	38

Stop Event

1×	node limit

Counts

2 → 63

Calls

Call 1

Inputs
(+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6))
(pow.f64 x 2)

Outputs

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

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

simplify811.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

2598×	`rational.json-simplify-48`
2390×	`rational.json-simplify-35`
2136×	`rational.json-simplify-1`
1564×	`rational.json-simplify-2`
1246×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	131	1329
1	267	1329
2	976	1329
3	1708	1329
4	3602	1329
5	3737	1329
6	3939	1329
7	4091	1329
8	4226	1329
9	4365	1329
10	5365	1329
11	5704	1329
12	6046	1329
13	6218	1329
14	6286	1329
15	6354	1329
16	6422	1329
17	6490	1329
18	6868	1329
19	7187	1329
20	7333	1329
21	7493	1329
22	7503	1329
23	7503	1329
24	7815	1329
25	7883	1329
26	7951	1329

Stop Event

1×	node limit

Counts

75 → 73

Calls

Call 1

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

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

eval622.0ms (4.3%)

Compiler: Compiled 23872 to 17438 computations (27% saved)

prune393.0ms (2.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	884	4	888
Fresh	0	1	1
Picked	1	0	1
Done	2	2	4
Total	887	7	894

Error

Counts

894 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	39.2b	(/.f64 (-.f64 (exp.f64 x) 1) x)
✓	22.5b	(+.f64 (*.f64 1/2 x) 1)
▶	22.0b	(*.f64 (/.f64 1 (/.f64 1 x)) (/.f64 1 x))
▶	18.7b	(*.f64 (/.f64 1 (-.f64 (/.f64 1 x) 1/2)) (/.f64 1 x))
▶	21.6b	(.f64 (/.f64 1 (-.f64 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (*.f64 (pow.f64 x 3) -1/720)) 1/2)) (/.f64 1 x))
▶	21.2b	(.f64 (/.f64 1 (-.f64 (+.f64 (.f64 1/12 x) (/.f64 1 x)) 1/2)) (/.f64 1 x))
	22.0b	1

Compiler

Compiled 75 to 61 computations (18.7% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 1/12 x) (/.f64 1 x))
✓	0.2b	(.f64 (/.f64 1 (-.f64 (+.f64 (.f64 1/12 x) (/.f64 1 x)) 1/2)) (/.f64 1 x))
✓	0.2b	(/.f64 1 (-.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 x)) 1/2))
✓	0.3b	(*.f64 1/12 x)

Compiler

Compiled 53 to 41 computations (22.6% saved)

series4.0ms (0%)

Counts

4 → 33

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(.f64 (/.f64 1 (-.f64 (+.f64 (.f64 1/12 x) (/.f64 1 x)) 1/2)) (/.f64 1 x))
0.0ms	x	@	inf	(*.f64 1/12 x)
0.0ms	x	@	inf	(/.f64 1 (-.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 x)) 1/2))
0.0ms	x	@	0	(*.f64 1/12 x)
0.0ms	x	@	-inf	(*.f64 1/12 x)

rewrite82.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1558×	`rational.json-1`
1558×	`rational.json-2`
1558×	`rational.json-4`
1558×	`rational.json-3`
1548×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	100
1	98	94
2	233	94
3	527	94
4	1612	94
5	4920	94

Stop Event

1×	node limit

Counts

4 → 152

Calls

Call 1

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

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

simplify180.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1156×	`rational.json-simplify-35`
1122×	`rational.json-simplify-1`
1002×	`rational.json-simplify-49`
846×	`rational.json-simplify-2`
676×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	381	6671
1	1224	6491
2	3501	6491
3	7149	6473

Stop Event

1×	node limit

Counts

185 → 216

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 12 x)
(+.f64 (.f64 72 (/.f64 1 (pow.f64 x 2))) (.f64 12 (/.f64 1 x)))
(+.f64 (.f64 72 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 3))) (*.f64 12 (/.f64 1 x))))
(+.f64 (.f64 72 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 864 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 3))) (.f64 12 (/.f64 1 x)))))
(/.f64 12 x)
(+.f64 (.f64 72 (/.f64 1 (pow.f64 x 2))) (.f64 12 (/.f64 1 x)))
(+.f64 (.f64 72 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 3))) (*.f64 12 (/.f64 1 x))))
(+.f64 (.f64 72 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 864 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 3))) (.f64 12 (/.f64 1 x)))))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
(/.f64 12 (pow.f64 x 2))
(+.f64 (.f64 12 (/.f64 1 (pow.f64 x 2))) (.f64 72 (/.f64 1 (pow.f64 x 3))))
(+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 12 (/.f64 1 (pow.f64 x 2))) (*.f64 288 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 864 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 12 (/.f64 1 (pow.f64 x 2))) (.f64 288 (/.f64 1 (pow.f64 x 4))))))
(/.f64 12 (pow.f64 x 2))
(+.f64 (.f64 12 (/.f64 1 (pow.f64 x 2))) (.f64 72 (/.f64 1 (pow.f64 x 3))))
(+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 12 (/.f64 1 (pow.f64 x 2))) (*.f64 288 (/.f64 1 (pow.f64 x 4)))))
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(/.f64 (neg.f64 (/.f64 x (+.f64 (.f64 1/12 x) (+.f64 (/.f64 1 x) -1/2)))) (-.f64 0 (.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (/.f64 4 (+.f64 (.f64 1/12 x) (+.f64 (/.f64 1 x) -1/2))))) (.f64 x 4))
(/.f64 (neg.f64 (neg.f64 (/.f64 4 x))) (.f64 (+.f64 (.f64 1/12 x) (+.f64 (/.f64 1 x) -1/2)) 4))
(pow.f64 (/.f64 (/.f64 1 x) (+.f64 (*.f64 1/12 x) (+.f64 (/.f64 1 x) -1/2))) 1)
(-.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 x)) 0)
(.f64 1 (+.f64 (.f64 1/12 x) (/.f64 1 x)))
(.f64 (+.f64 (.f64 1/12 x) (/.f64 1 x)) 1)
(.f64 1/2 (.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 x)) 2))
(.f64 2 (/.f64 (+.f64 (.f64 1/12 x) (/.f64 1 x)) 2))
(.f64 (.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 x)) 2) 1/2)
(.f64 (/.f64 (+.f64 (.f64 1/12 x) (/.f64 1 x)) 2) 2)
(/.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 x)) 1)
(/.f64 (.f64 (+.f64 (.f64 1/12 x) (/.f64 1 x)) 2) 2)
(/.f64 (.f64 (+.f64 (.f64 1/12 x) (/.f64 1 x)) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 x)) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/12 x) (/.f64 1 x)) 4)) (.f64 2 (.f64 (+.f64 (.f64 1/12 x) (/.f64 1 x)) 4))) 16)
(pow.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 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 x (+.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 x (+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))))
(/.f64 12 x)
(+.f64 (.f64 72 (/.f64 1 (pow.f64 x 2))) (.f64 12 (/.f64 1 x)))
(+.f64 (.f64 72 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 3))) (*.f64 12 (/.f64 1 x))))
(+.f64 (.f64 72 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 12 (/.f64 1 x)) (*.f64 288 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (.f64 72 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 864 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 3))) (.f64 12 (/.f64 1 x)))))
(+.f64 (.f64 72 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 12 (/.f64 1 x)) (.f64 864 (/.f64 1 (pow.f64 x 4))))))
(+.f64 (.f64 72 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 12 (/.f64 1 x)) (+.f64 (.f64 864 (/.f64 1 (pow.f64 x 4))) (.f64 288 (/.f64 1 (pow.f64 x 3))))))
(/.f64 12 x)
(+.f64 (.f64 72 (/.f64 1 (pow.f64 x 2))) (.f64 12 (/.f64 1 x)))
(+.f64 (.f64 72 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 3))) (*.f64 12 (/.f64 1 x))))
(+.f64 (.f64 72 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 12 (/.f64 1 x)) (*.f64 288 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (.f64 72 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 864 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 3))) (.f64 12 (/.f64 1 x)))))
(+.f64 (.f64 72 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 12 (/.f64 1 x)) (.f64 864 (/.f64 1 (pow.f64 x 4))))))
(+.f64 (.f64 72 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 12 (/.f64 1 x)) (+.f64 (.f64 864 (/.f64 1 (pow.f64 x 4))) (.f64 288 (/.f64 1 (pow.f64 x 3))))))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 1 (*.f64 x 1/2))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(+.f64 (.f64 x 1/2) (+.f64 1 (.f64 (pow.f64 x 2) 1/6)))
(+.f64 1 (+.f64 (.f64 x 1/2) (.f64 (pow.f64 x 2) 1/6)))
(+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
(+.f64 (.f64 x 1/2) (+.f64 1 (+.f64 (.f64 (pow.f64 x 3) 1/24) (*.f64 (pow.f64 x 2) 1/6))))
(+.f64 (.f64 x 1/2) (+.f64 1 (+.f64 (.f64 (pow.f64 x 2) 1/6) (*.f64 (pow.f64 x 3) 1/24))))
(/.f64 12 (pow.f64 x 2))
(+.f64 (.f64 12 (/.f64 1 (pow.f64 x 2))) (.f64 72 (/.f64 1 (pow.f64 x 3))))
(+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 12 (/.f64 1 (pow.f64 x 2))) (*.f64 288 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (.f64 12 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 4))) (*.f64 72 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (.f64 12 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (*.f64 288 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 864 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 12 (/.f64 1 (pow.f64 x 2))) (.f64 288 (/.f64 1 (pow.f64 x 4))))))
(+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 12 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 4))) (.f64 864 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (.f64 12 (/.f64 1 (pow.f64 x 2))) (+.f64 (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 4))) (.f64 864 (/.f64 1 (pow.f64 x 5)))) (.f64 72 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (.f64 12 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 864 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (.f64 288 (/.f64 1 (pow.f64 x 4))))))
(/.f64 12 (pow.f64 x 2))
(+.f64 (.f64 12 (/.f64 1 (pow.f64 x 2))) (.f64 72 (/.f64 1 (pow.f64 x 3))))
(+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 12 (/.f64 1 (pow.f64 x 2))) (*.f64 288 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (.f64 12 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 4))) (*.f64 72 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (.f64 12 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (*.f64 288 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 864 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 12 (/.f64 1 (pow.f64 x 2))) (.f64 288 (/.f64 1 (pow.f64 x 4))))))
(+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 12 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 4))) (.f64 864 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (.f64 12 (/.f64 1 (pow.f64 x 2))) (+.f64 (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 4))) (.f64 864 (/.f64 1 (pow.f64 x 5)))) (.f64 72 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (.f64 12 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 864 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (.f64 288 (/.f64 1 (pow.f64 x 4))))))
(/.f64 1 x)
(*.f64 1/12 x)
(*.f64 x 1/12)
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(+.f64 (/.f64 1 x) (*.f64 x 1/12))
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(+.f64 (/.f64 1 x) (*.f64 x 1/12))
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(+.f64 (/.f64 1 x) (*.f64 x 1/12))
(*.f64 1/12 x)
(*.f64 x 1/12)
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(+.f64 (/.f64 1 x) (*.f64 x 1/12))
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(+.f64 (/.f64 1 x) (*.f64 x 1/12))
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(+.f64 (/.f64 1 x) (*.f64 x 1/12))
(+.f64 (*.f64 1/12 x) 0)
(*.f64 x 1/12)
(+.f64 0 (*.f64 1/12 x))
(*.f64 x 1/12)
(-.f64 (*.f64 1/12 x) 0)
(*.f64 x 1/12)
(/.f64 (*.f64 1/12 x) 1)
(*.f64 x 1/12)
(/.f64 (*.f64 x 1/6) 2)
(*.f64 x 1/12)
(/.f64 (*.f64 x 1/3) 4)
(*.f64 x 1/12)
(/.f64 (.f64 2 (.f64 x 1/3)) 8)
(*.f64 x 1/12)
(/.f64 (+.f64 (.f64 2 (.f64 x 1/3)) (.f64 2 (.f64 x 1/3))) 16)
(*.f64 x 1/12)
(pow.f64 (*.f64 1/12 x) 1)
(*.f64 x 1/12)
(+.f64 (/.f64 1 (+.f64 (*.f64 1/12 x) (+.f64 (/.f64 1 x) -1/2))) 0)
(/.f64 1 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) -1/2)))
(/.f64 1 (+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) -1/2)))
(+.f64 0 (/.f64 1 (+.f64 (*.f64 1/12 x) (+.f64 (/.f64 1 x) -1/2))))
(/.f64 1 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) -1/2)))
(/.f64 1 (+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) -1/2)))
(+.f64 (/.f64 1/2 (+.f64 (.f64 1/12 x) (+.f64 (/.f64 1 x) -1/2))) (/.f64 1/2 (+.f64 (.f64 1/12 x) (+.f64 (/.f64 1 x) -1/2))))
(+.f64 (/.f64 1/2 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) -1/2))) (/.f64 1/2 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) -1/2))))
(+.f64 (/.f64 1/2 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) -1/2))) (/.f64 1/2 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) -1/2))))
(-.f64 (/.f64 1 (+.f64 (*.f64 1/12 x) (+.f64 (/.f64 1 x) -1/2))) 0)
(/.f64 1 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) -1/2)))
(/.f64 1 (+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) -1/2)))
(-.f64 0 (/.f64 1 (-.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))))
(/.f64 1 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) -1/2)))
(/.f64 1 (+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) -1/2)))
(.f64 1 (/.f64 1 (+.f64 (.f64 1/12 x) (+.f64 (/.f64 1 x) -1/2))))
(/.f64 1 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) -1/2)))
(/.f64 1 (+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) -1/2)))
(.f64 1/2 (/.f64 2 (+.f64 (.f64 1/12 x) (+.f64 (/.f64 1 x) -1/2))))
(.f64 1/2 (/.f64 2 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) -1/2))))
(.f64 1/2 (/.f64 2 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) -1/2))))
(.f64 (/.f64 1 (+.f64 (.f64 1/12 x) (+.f64 (/.f64 1 x) -1/2))) 1)
(/.f64 1 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) -1/2)))
(/.f64 1 (+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) -1/2)))
(.f64 2 (/.f64 1/2 (+.f64 (.f64 1/12 x) (+.f64 (/.f64 1 x) -1/2))))
(/.f64 1 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) -1/2)))
(/.f64 1 (+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) -1/2)))
(.f64 -1 (/.f64 1 (-.f64 1/2 (+.f64 (.f64 1/12 x) (/.f64 1 x)))))
(/.f64 1 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) -1/2)))
(/.f64 1 (+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) -1/2)))
(.f64 (/.f64 2 (+.f64 (.f64 1/12 x) (+.f64 (/.f64 1 x) -1/2))) 1/2)
(.f64 1/2 (/.f64 2 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) -1/2))))
(.f64 1/2 (/.f64 2 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) -1/2))))
(.f64 (/.f64 1 (-.f64 1/2 (+.f64 (.f64 1/12 x) (/.f64 1 x)))) -1)
(/.f64 1 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) -1/2)))
(/.f64 1 (+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) -1/2)))
(.f64 (/.f64 1/2 (+.f64 (.f64 1/12 x) (+.f64 (/.f64 1 x) -1/2))) 2)
(/.f64 1 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) -1/2)))
(/.f64 1 (+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) -1/2)))
(pow.f64 (/.f64 1 (+.f64 (*.f64 1/12 x) (+.f64 (/.f64 1 x) -1/2))) 1)
(/.f64 1 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) -1/2)))
(/.f64 1 (+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) -1/2)))
(neg.f64 (/.f64 1 (-.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))))
(/.f64 1 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) -1/2)))
(/.f64 1 (+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) -1/2)))
(+.f64 (/.f64 (/.f64 1 x) (+.f64 (*.f64 1/12 x) (+.f64 (/.f64 1 x) -1/2))) 0)
(/.f64 1 (.f64 x (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) -1/2))))
(/.f64 1 (.f64 x (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) -1/2))))
(+.f64 0 (/.f64 (/.f64 1 x) (+.f64 (*.f64 1/12 x) (+.f64 (/.f64 1 x) -1/2))))
(/.f64 1 (.f64 x (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) -1/2))))
(/.f64 1 (.f64 x (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) -1/2))))
(+.f64 (/.f64 (/.f64 1/2 x) (+.f64 (.f64 1/12 x) (+.f64 (/.f64 1 x) -1/2))) (/.f64 (/.f64 1/2 x) (+.f64 (.f64 1/12 x) (+.f64 (/.f64 1 x) -1/2))))
(/.f64 1 (.f64 x (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) -1/2))))
(/.f64 1 (.f64 x (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) -1/2))))
(-.f64 (/.f64 (/.f64 1 x) (+.f64 (*.f64 1/12 x) (+.f64 (/.f64 1 x) -1/2))) 0)
(/.f64 1 (.f64 x (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) -1/2))))
(/.f64 1 (.f64 x (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) -1/2))))
(/.f64 1 (.f64 x (+.f64 (.f64 1/12 x) (+.f64 (/.f64 1 x) -1/2))))
(/.f64 1 (.f64 x (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) -1/2))))
(/.f64 1 (.f64 x (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) -1/2))))
(/.f64 1 (/.f64 x (/.f64 1 (+.f64 (*.f64 1/12 x) (+.f64 (/.f64 1 x) -1/2)))))
(/.f64 1 (.f64 x (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) -1/2))))
(/.f64 1 (.f64 x (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) -1/2))))
(/.f64 1 (-.f64 0 (.f64 x (-.f64 1/2 (+.f64 (.f64 1/12 x) (/.f64 1 x))))))
(/.f64 1 (.f64 x (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) -1/2))))
(/.f64 1 (.f64 x (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) -1/2))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/12 x) (+.f64 (/.f64 1 x) -1/2)))
(/.f64 1 (.f64 x (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) -1/2))))
(/.f64 1 (.f64 x (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) -1/2))))
(/.f64 (/.f64 1 x) (/.f64 1 (/.f64 1 (+.f64 (*.f64 1/12 x) (+.f64 (/.f64 1 x) -1/2)))))
(/.f64 1 (.f64 x (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) -1/2))))
(/.f64 1 (.f64 x (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) -1/2))))
(/.f64 (/.f64 1 (+.f64 (*.f64 1/12 x) (+.f64 (/.f64 1 x) -1/2))) x)
(/.f64 1 (.f64 x (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) -1/2))))
(/.f64 1 (.f64 x (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) -1/2))))
(/.f64 (/.f64 1 (+.f64 (*.f64 1/12 x) (+.f64 (/.f64 1 x) -1/2))) (/.f64 2 (/.f64 2 x)))
(/.f64 1 (.f64 x (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) -1/2))))
(/.f64 1 (.f64 x (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) -1/2))))
(/.f64 (/.f64 (/.f64 1 x) (+.f64 (*.f64 1/12 x) (+.f64 (/.f64 1 x) -1/2))) 1)
(/.f64 1 (.f64 x (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) -1/2))))
(/.f64 1 (.f64 x (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) -1/2))))
(/.f64 2 (.f64 x (+.f64 (/.f64 2 x) (+.f64 -1/2 (+.f64 (.f64 x 1/6) -1/2)))))
(/.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) (+.f64 (*.f64 x 1/6) -1)))
(/.f64 2 (.f64 x (+.f64 (.f64 x 1/6) (+.f64 -1 (/.f64 2 x)))))
(/.f64 (/.f64 2 x) (+.f64 (*.f64 x 1/6) (+.f64 -1 (/.f64 2 x))))
(/.f64 2 (/.f64 (+.f64 (*.f64 1/12 x) (+.f64 (/.f64 1 x) -1/2)) (/.f64 1/2 x)))
(/.f64 1 (.f64 x (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) -1/2))))
(/.f64 1 (.f64 x (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) -1/2))))
(/.f64 2 (-.f64 0 (.f64 x (.f64 (+.f64 (*.f64 1/12 x) (+.f64 (/.f64 1 x) -1/2)) -2))))
(/.f64 1 (.f64 x (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) -1/2))))
(/.f64 1 (.f64 x (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) -1/2))))
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(.f64 2 (/.f64 (+.f64 (.f64 1/12 x) (/.f64 1 x)) 2))
(+.f64 (/.f64 1 x) (*.f64 x 1/12))
(.f64 (.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 x)) 2) 1/2)
(+.f64 (/.f64 1 x) (*.f64 x 1/12))
(.f64 (/.f64 (+.f64 (.f64 1/12 x) (/.f64 1 x)) 2) 2)
(+.f64 (/.f64 1 x) (*.f64 x 1/12))
(/.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 x)) 1)
(+.f64 (/.f64 1 x) (*.f64 x 1/12))
(/.f64 (.f64 (+.f64 (.f64 1/12 x) (/.f64 1 x)) 2) 2)
(+.f64 (/.f64 1 x) (*.f64 x 1/12))
(/.f64 (.f64 (+.f64 (.f64 1/12 x) (/.f64 1 x)) 4) 4)
(+.f64 (/.f64 1 x) (*.f64 x 1/12))
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 x)) 4)) 8)
(+.f64 (/.f64 1 x) (*.f64 x 1/12))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/12 x) (/.f64 1 x)) 4)) (.f64 2 (.f64 (+.f64 (.f64 1/12 x) (/.f64 1 x)) 4))) 16)
(+.f64 (/.f64 1 x) (*.f64 x 1/12))
(pow.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 x)) 1)
(+.f64 (/.f64 1 x) (*.f64 x 1/12))

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (pow.f64 x 3) -1/720)
✓	0.1b	(.f64 (/.f64 1 (-.f64 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (*.f64 (pow.f64 x 3) -1/720)) 1/2)) (/.f64 1 x))
✓	0.3b	(*.f64 x 1/12)
✓	0.4b	(/.f64 1 (-.f64 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (.f64 (pow.f64 x 3) -1/720)) 1/2))

Compiler

Compiled 94 to 74 computations (21.3% saved)

series83.0ms (0.6%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
80.0ms	x	@	inf	(*.f64 (pow.f64 x 3) -1/720)
1.0ms	x	@	inf	(/.f64 1 (-.f64 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (.f64 (pow.f64 x 3) -1/720)) 1/2))
0.0ms	x	@	-inf	(*.f64 (pow.f64 x 3) -1/720)
0.0ms	x	@	inf	(.f64 (/.f64 1 (-.f64 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (*.f64 (pow.f64 x 3) -1/720)) 1/2)) (/.f64 1 x))
0.0ms	x	@	-inf	(/.f64 1 (-.f64 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (.f64 (pow.f64 x 3) -1/720)) 1/2))

rewrite94.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1492×	`rational.json-1`
1492×	`rational.json-2`
1492×	`rational.json-4`
1492×	`rational.json-3`
1482×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	130
1	130	124
2	288	124
3	662	124
4	1989	124
5	5420	124

Stop Event

1×	node limit

Counts

4 → 153

Calls

Call 1

Inputs
(/.f64 1 (-.f64 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (.f64 (pow.f64 x 3) -1/720)) 1/2))
(*.f64 x 1/12)
(.f64 (/.f64 1 (-.f64 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (*.f64 (pow.f64 x 3) -1/720)) 1/2)) (/.f64 1 x))
(*.f64 (pow.f64 x 3) -1/720)

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 x 3) -1/720) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (pow.f64 x 3) -1/720))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (pow.f64 x 3) -1/720) 2) (/.f64 (.f64 (pow.f64 x 3) -1/720) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (pow.f64 x 3) -1/720) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 3) -1/720) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 3) -1/360) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 3) -1/180) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (pow.f64 x 3) -1/180)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) -1/180))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 3) -1/720) 1)))))

simplify209.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1238×	`rational.json-simplify-35`
1202×	`rational.json-simplify-2`
1040×	`rational.json-simplify-43`
876×	`rational.json-simplify-1`
594×	`rational.json-simplify-44`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	398	8869
1	1346	8857
2	4034	8857
3	7377	8857

Stop Event

1×	node limit

Counts

201 → 209

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 -720 (pow.f64 x 3))
(neg.f64 (+.f64 (.f64 43200 (/.f64 1 (pow.f64 x 5))) (.f64 720 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (.f64 259200 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 720 (/.f64 1 (pow.f64 x 3))) (*.f64 43200 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (.f64 259200 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 3110400 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 720 (/.f64 1 (pow.f64 x 3))) (.f64 43200 (/.f64 1 (pow.f64 x 5))))))
(/.f64 -720 (pow.f64 x 3))
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(/.f64 (neg.f64 (/.f64 4 x)) (neg.f64 (.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (*.f64 (pow.f64 x 3) -1/720) -1/2))) 4)))
(/.f64 (.f64 2 (.f64 2 (.f64 (/.f64 1 x) (/.f64 4 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (*.f64 (pow.f64 x 3) -1/720) -1/2))))))) 16)
(/.f64 (.f64 2 (.f64 2 (/.f64 1 (-.f64 1/2 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720))))))) (.f64 2 (.f64 x -2)))
(/.f64 (.f64 2 (.f64 2 (/.f64 -2 x))) (.f64 2 (.f64 (-.f64 1/2 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720)))) 4)))
(/.f64 (.f64 2 (/.f64 2 (-.f64 1/2 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720)))))) (.f64 2 (*.f64 x -2)))
(/.f64 (.f64 2 (/.f64 2 (-.f64 1/2 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720)))))) (.f64 2 (neg.f64 (+.f64 x x))))
(/.f64 (.f64 2 (/.f64 8 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) -1/2))))) (.f64 2 (*.f64 x 8)))
(/.f64 (.f64 2 (/.f64 (/.f64 4 x) (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (*.f64 (pow.f64 x 3) -1/720) -1/2))))) 8)
(/.f64 (.f64 2 (/.f64 8 x)) (.f64 2 (.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (*.f64 (pow.f64 x 3) -1/720) -1/2))) 8)))
(/.f64 (.f64 2 (/.f64 -4 x)) (.f64 2 (.f64 (-.f64 1/2 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (*.f64 (pow.f64 x 3) -1/720)))) 4)))
(/.f64 (.f64 2 (/.f64 x (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) -1/2))))) (.f64 x (+.f64 x x)))
(/.f64 (.f64 2 (/.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) -1/2))) x)) (.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) -1/2))) (.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (*.f64 (pow.f64 x 3) -1/720) -1/2))) 2)))
(/.f64 (.f64 2 (neg.f64 (/.f64 4 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) -1/2)))))) (.f64 2 (neg.f64 (*.f64 x 4))))
(/.f64 (.f64 2 (neg.f64 (/.f64 4 x))) (.f64 2 (neg.f64 (.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (*.f64 (pow.f64 x 3) -1/720) -1/2))) 4))))
(/.f64 (.f64 2 (.f64 2 (/.f64 4 x))) (.f64 2 (.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) -1/2))) 8)))
(/.f64 (.f64 2 (.f64 2 (/.f64 4 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) -1/2)))))) (.f64 2 (.f64 x 8)))
(/.f64 (/.f64 (/.f64 1 x) (-.f64 1/2 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720))))) -1)
(/.f64 (/.f64 (/.f64 1 x) (.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (*.f64 (pow.f64 x 3) -1/720) -1/2))) 4)) 1/4)
(/.f64 (/.f64 (/.f64 1 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) -1/2)))) (*.f64 x 4)) 1/4)
(/.f64 (/.f64 (/.f64 1 (-.f64 1/2 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720))))) x) -1)
(/.f64 (/.f64 (/.f64 -1 x) (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) -1/2)))) -1)
(/.f64 (/.f64 (/.f64 -1 x) (.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (*.f64 (pow.f64 x 3) -1/720) -1/2))) -2)) 1/2)
(/.f64 (/.f64 (/.f64 x (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) -1/2)))) x) x)
(/.f64 (/.f64 (/.f64 x (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) -1/2)))) (+.f64 x x)) (*.f64 x 1/2))
(/.f64 (/.f64 (/.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) -1/2))) x) (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) -1/2)))) (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) -1/2))))
(/.f64 (/.f64 (/.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) -1/2))) x) (.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) -1/2))) 2)) (.f64 1/2 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) -1/2)))))
(/.f64 (neg.f64 (.f64 2 (/.f64 1 (-.f64 1/2 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720))))))) (neg.f64 (.f64 x -2)))
(/.f64 (neg.f64 (.f64 2 (/.f64 4 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) -1/2)))))) (neg.f64 (.f64 x 8)))
(/.f64 (neg.f64 (.f64 2 (/.f64 4 x))) (neg.f64 (.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) -1/2))) 8)))
(/.f64 (neg.f64 (.f64 2 (/.f64 -2 x))) (neg.f64 (.f64 (-.f64 1/2 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720)))) 4)))
(/.f64 (neg.f64 (/.f64 8 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) -1/2))))) (neg.f64 (*.f64 x 8)))
(/.f64 (neg.f64 (/.f64 8 x)) (neg.f64 (.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (*.f64 (pow.f64 x 3) -1/720) -1/2))) 8)))
(/.f64 (neg.f64 (/.f64 x (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) -1/2))))) (neg.f64 (*.f64 x x)))
(/.f64 (neg.f64 (/.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) -1/2))) x)) (neg.f64 (.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) -1/2))) (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (*.f64 (pow.f64 x 3) -1/720) -1/2))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 4 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) -1/2)))))) (*.f64 x 4))
(/.f64 (neg.f64 (neg.f64 (/.f64 4 x))) (.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (*.f64 (pow.f64 x 3) -1/720) -1/2))) 4))
(pow.f64 (/.f64 1 (.f64 x (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (*.f64 (pow.f64 x 3) -1/720) -1/2))))) 1)
(neg.f64 (/.f64 (/.f64 1 x) (-.f64 1/2 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720))))))
(neg.f64 (/.f64 (/.f64 1 (-.f64 1/2 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720))))) x))
(neg.f64 (/.f64 (/.f64 -1 x) (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) -1/2)))))
(+.f64 (*.f64 (pow.f64 x 3) -1/720) 0)
(+.f64 0 (*.f64 (pow.f64 x 3) -1/720))
(+.f64 (/.f64 (.f64 (pow.f64 x 3) -1/720) 2) (/.f64 (.f64 (pow.f64 x 3) -1/720) 2))
(-.f64 (*.f64 (pow.f64 x 3) -1/720) 0)
(/.f64 (*.f64 (pow.f64 x 3) -1/720) 1)
(/.f64 (*.f64 (pow.f64 x 3) -1/360) 2)
(/.f64 (*.f64 (pow.f64 x 3) -1/180) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 x 3) -1/180)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 3) -1/180))) 16)
(pow.f64 (*.f64 (pow.f64 x 3) -1/720) 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 x (.f64 1/24 (pow.f64 x 4))) (+.f64 (.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 (+.f64 x (.f64 1/24 (pow.f64 x 4))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
(/.f64 -720 (pow.f64 x 3))
(neg.f64 (+.f64 (.f64 43200 (/.f64 1 (pow.f64 x 5))) (.f64 720 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (.f64 259200 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 720 (/.f64 1 (pow.f64 x 3))) (*.f64 43200 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (.f64 259200 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 43200 (/.f64 1 (pow.f64 x 5))) (*.f64 720 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (.f64 259200 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 3110400 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 720 (/.f64 1 (pow.f64 x 3))) (.f64 43200 (/.f64 1 (pow.f64 x 5))))))
(-.f64 (.f64 259200 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 720 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 43200 (/.f64 1 (pow.f64 x 5))) (.f64 3110400 (/.f64 1 (pow.f64 x 7))))))
(-.f64 (.f64 259200 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 43200 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 3110400 (/.f64 1 (pow.f64 x 7))) (.f64 720 (/.f64 1 (pow.f64 x 3))))))
(-.f64 (.f64 259200 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 43200 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 720 (/.f64 1 (pow.f64 x 3))) (.f64 3110400 (/.f64 1 (pow.f64 x 7))))))
(/.f64 -720 (pow.f64 x 3))
(neg.f64 (+.f64 (.f64 43200 (/.f64 1 (pow.f64 x 5))) (.f64 720 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (.f64 259200 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 720 (/.f64 1 (pow.f64 x 3))) (*.f64 43200 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (.f64 259200 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 43200 (/.f64 1 (pow.f64 x 5))) (*.f64 720 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (.f64 259200 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 3110400 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 720 (/.f64 1 (pow.f64 x 3))) (.f64 43200 (/.f64 1 (pow.f64 x 5))))))
(-.f64 (.f64 259200 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 720 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 43200 (/.f64 1 (pow.f64 x 5))) (.f64 3110400 (/.f64 1 (pow.f64 x 7))))))
(-.f64 (.f64 259200 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 43200 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 3110400 (/.f64 1 (pow.f64 x 7))) (.f64 720 (/.f64 1 (pow.f64 x 3))))))
(-.f64 (.f64 259200 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 43200 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 720 (/.f64 1 (pow.f64 x 3))) (.f64 3110400 (/.f64 1 (pow.f64 x 7))))))
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 1 (*.f64 x 1/2))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(+.f64 (.f64 x 1/2) (+.f64 1 (.f64 (pow.f64 x 2) 1/6)))
(+.f64 1 (+.f64 (.f64 (pow.f64 x 2) 1/6) (.f64 x 1/2)))
(+.f64 1 (+.f64 (.f64 x 1/2) (.f64 (pow.f64 x 2) 1/6)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
(+.f64 (.f64 x 1/2) (+.f64 (.f64 (pow.f64 x 2) 1/6) (+.f64 1 (*.f64 (pow.f64 x 3) 1/24))))
(+.f64 (+.f64 1 (.f64 (pow.f64 x 3) 1/24)) (+.f64 (.f64 x 1/2) (*.f64 (pow.f64 x 2) 1/6)))
(+.f64 (+.f64 1 (.f64 x 1/2)) (+.f64 (.f64 (pow.f64 x 2) 1/6) (*.f64 (pow.f64 x 3) 1/24)))
(/.f64 -720 (pow.f64 x 4))
(neg.f64 (+.f64 (.f64 720 (/.f64 1 (pow.f64 x 4))) (.f64 43200 (/.f64 1 (pow.f64 x 6)))))
(-.f64 (.f64 259200 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 720 (/.f64 1 (pow.f64 x 4))) (*.f64 43200 (/.f64 1 (pow.f64 x 6)))))
(-.f64 (.f64 259200 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 720 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 3110400 (/.f64 1 (pow.f64 x 8))) (.f64 43200 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (.f64 259200 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 720 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 43200 (/.f64 1 (pow.f64 x 6))) (.f64 3110400 (/.f64 1 (pow.f64 x 8))))))
(-.f64 (.f64 259200 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 43200 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 720 (/.f64 1 (pow.f64 x 4))) (.f64 3110400 (/.f64 1 (pow.f64 x 8))))))
(/.f64 -720 (pow.f64 x 4))
(neg.f64 (+.f64 (.f64 720 (/.f64 1 (pow.f64 x 4))) (.f64 43200 (/.f64 1 (pow.f64 x 6)))))
(-.f64 (.f64 259200 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 720 (/.f64 1 (pow.f64 x 4))) (*.f64 43200 (/.f64 1 (pow.f64 x 6)))))
(-.f64 (.f64 259200 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 720 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 3110400 (/.f64 1 (pow.f64 x 8))) (.f64 43200 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (.f64 259200 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 720 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 43200 (/.f64 1 (pow.f64 x 6))) (.f64 3110400 (/.f64 1 (pow.f64 x 8))))))
(-.f64 (.f64 259200 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 43200 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 720 (/.f64 1 (pow.f64 x 4))) (.f64 3110400 (/.f64 1 (pow.f64 x 8))))))
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/720)
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/720)
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/720)
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/720)
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/720)
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/720)
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/720)
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/720)
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/720)
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/720)
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/720)
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/720)
(+.f64 (/.f64 1 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) -1/2)))) 0)
(/.f64 1 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) -1/2))))
(/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 -1/2 (/.f64 1 x)))))
(/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) -1/2))))
(+.f64 0 (/.f64 1 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) -1/2)))))
(/.f64 1 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) -1/2))))
(/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 -1/2 (/.f64 1 x)))))
(/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) -1/2))))
(+.f64 -1 (-.f64 1 (/.f64 1 (-.f64 1/2 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720)))))))
(/.f64 1 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) -1/2))))
(/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 -1/2 (/.f64 1 x)))))
(/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) -1/2))))
(+.f64 (/.f64 1/2 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) -1/2)))) (/.f64 1/2 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) -1/2)))))
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(/.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 -1/2 (/.f64 1 x)))))
(/.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) -1/2))))
(/.f64 (neg.f64 (/.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) -1/2))) x)) (neg.f64 (.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) -1/2))) (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (*.f64 (pow.f64 x 3) -1/720) -1/2))))))
(/.f64 1 (.f64 x (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (*.f64 (pow.f64 x 3) -1/720) -1/2)))))
(/.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 -1/2 (/.f64 1 x)))))
(/.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) -1/2))))
(/.f64 (neg.f64 (neg.f64 (/.f64 4 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) -1/2)))))) (*.f64 x 4))
(/.f64 1 (.f64 x (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (*.f64 (pow.f64 x 3) -1/720) -1/2)))))
(/.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 -1/2 (/.f64 1 x)))))
(/.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) -1/2))))
(/.f64 (neg.f64 (neg.f64 (/.f64 4 x))) (.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (*.f64 (pow.f64 x 3) -1/720) -1/2))) 4))
(/.f64 1 (.f64 x (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (*.f64 (pow.f64 x 3) -1/720) -1/2)))))
(/.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 -1/2 (/.f64 1 x)))))
(/.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) -1/2))))
(pow.f64 (/.f64 1 (.f64 x (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (*.f64 (pow.f64 x 3) -1/720) -1/2))))) 1)
(/.f64 1 (.f64 x (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (*.f64 (pow.f64 x 3) -1/720) -1/2)))))
(/.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 -1/2 (/.f64 1 x)))))
(/.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) -1/2))))
(neg.f64 (/.f64 (/.f64 1 x) (-.f64 1/2 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720))))))
(/.f64 1 (.f64 x (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (*.f64 (pow.f64 x 3) -1/720) -1/2)))))
(/.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 -1/2 (/.f64 1 x)))))
(/.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) -1/2))))
(neg.f64 (/.f64 (/.f64 1 (-.f64 1/2 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720))))) x))
(/.f64 1 (.f64 x (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (*.f64 (pow.f64 x 3) -1/720) -1/2)))))
(/.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 -1/2 (/.f64 1 x)))))
(/.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) -1/2))))
(neg.f64 (/.f64 (/.f64 -1 x) (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) -1/2)))))
(/.f64 1 (.f64 x (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (*.f64 (pow.f64 x 3) -1/720) -1/2)))))
(/.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 -1/2 (/.f64 1 x)))))
(/.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) -1/2))))
(+.f64 (*.f64 (pow.f64 x 3) -1/720) 0)
(*.f64 (pow.f64 x 3) -1/720)
(+.f64 0 (*.f64 (pow.f64 x 3) -1/720))
(*.f64 (pow.f64 x 3) -1/720)
(+.f64 (/.f64 (.f64 (pow.f64 x 3) -1/720) 2) (/.f64 (.f64 (pow.f64 x 3) -1/720) 2))
(*.f64 (pow.f64 x 3) -1/720)
(-.f64 (*.f64 (pow.f64 x 3) -1/720) 0)
(*.f64 (pow.f64 x 3) -1/720)
(/.f64 (*.f64 (pow.f64 x 3) -1/720) 1)
(*.f64 (pow.f64 x 3) -1/720)
(/.f64 (*.f64 (pow.f64 x 3) -1/360) 2)
(*.f64 (pow.f64 x 3) -1/720)
(/.f64 (*.f64 (pow.f64 x 3) -1/180) 4)
(*.f64 (pow.f64 x 3) -1/720)
(/.f64 (.f64 2 (.f64 (pow.f64 x 3) -1/180)) 8)
(*.f64 (pow.f64 x 3) -1/720)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 3) -1/180))) 16)
(*.f64 (pow.f64 x 3) -1/720)
(pow.f64 (*.f64 (pow.f64 x 3) -1/720) 1)
(*.f64 (pow.f64 x 3) -1/720)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 30 to 24 computations (20% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite75.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1256×	`rational.json-1`
1256×	`rational.json-2`
1256×	`rational.json-4`
1256×	`rational.json-3`
1246×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	50
1	76	44
2	191	44
3	426	44
4	1337	44
5	4407	44

Stop Event

1×	node limit

Counts

2 → 163

Calls

Call 1

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

Outputs

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

simplify225.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1322×	`rational.json-simplify-35`
1258×	`rational.json-simplify-2`
956×	`rational.json-simplify-50`
956×	`rational.json-simplify-1`
818×	`rational.json-simplify-43`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	401	5553
1	1476	5375
2	4402	5293
3	7587	5293

Stop Event

1×	node limit

Counts

187 → 227

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 15 computations (25% saved)

series0.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite90.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1560×	`rational.json-1`
1560×	`rational.json-2`
1560×	`rational.json-3`
1548×	`rational.json-4`
1528×	`exponential.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	62	8
2	158	8
3	399	2
4	1928	2
5	5032	2

Stop Event

1×	node limit

Counts

2 → 33

Calls

Call 1

Inputs
(/.f64 1 (/.f64 1 x))
(*.f64 (/.f64 1 (/.f64 1 x)) (/.f64 1 x))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x . 1)))))

simplify145.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1126×	`rational.json-simplify-2`
890×	`rational.json-simplify-54`
756×	`rational.json-simplify-53`
722×	`rational.json-simplify-61`
576×	`rational.json-simplify-44`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	57
1	119	57
2	432	57
3	3343	57
4	7445	57

Stop Event

1×	node limit

Counts

57 → 34

Calls

Call 1

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

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

eval363.0ms (2.5%)

Compiler: Compiled 13006 to 10496 computations (19.3% saved)

prune118.0ms (0.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	679	7	686
Fresh	0	1	1
Picked	1	0	1
Done	3	2	5
Total	683	10	693

Error

Counts

693 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	40.0b	(/.f64 (/.f64 x (+.f64 (/.f64 1 x) -1/2)) (*.f64 x x))
	21.2b	(/.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) (+.f64 (*.f64 x 1/6) -1)))
▶	18.7b	(/.f64 (/.f64 1 (-.f64 (/.f64 1 x) 1/2)) x)
	21.6b	(/.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) -1/2))))
✓	39.2b	(/.f64 (-.f64 (exp.f64 x) 1) x)
▶	18.6b	(/.f64 2 (+.f64 2 (neg.f64 x)))
▶	58.3b	(/.f64 -2 x)
✓	22.5b	(+.f64 (*.f64 1/2 x) 1)
▶	59.5b	(.f64 (neg.f64 (+.f64 2 (.f64 4 (/.f64 1 x)))) (/.f64 1 x))
	22.0b	1

Compiler

Compiled 175 to 138 computations (21.1% saved)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 2 (+.f64 2 (neg.f64 x)))

Compiler

Compiled 15 to 9 computations (40% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite73.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1288×	`rational.json-simplify-2`
1250×	`rational.json-1`
1250×	`rational.json-2`
1250×	`rational.json-3`
1248×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	59	17
2	153	17
3	346	17
4	769	17
5	2291	17
6	5757	17

Stop Event

1×	node limit

Counts

1 → 29

Calls

Call 1

Inputs
(/.f64 2 (+.f64 2 (neg.f64 x)))

Outputs

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

simplify117.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1884×	`rational.json-simplify-35`
1324×	`rational.json-simplify-51`
992×	`rational.json-simplify-2`
962×	`rational.json-simplify-19`
786×	`rational.json-simplify-59`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	92	1389
1	187	1389
2	319	1389
3	565	1389
4	1354	1389
5	3079	1341
6	5118	1341
7	7550	1341

Stop Event

1×	node limit

Counts

41 → 59

Calls

Call 1

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

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

localize2.0ms (0%)

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 28 to 22 computations (21.4% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite75.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1462×	`rational.json-1`
1462×	`rational.json-2`
1462×	`rational.json-4`
1462×	`rational.json-3`
1446×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	80	25
2	236	25
3	672	25
4	2289	25
5	5581	25

Stop Event

1×	node limit

Counts

1 → 50

Calls

Call 1

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

Outputs

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

simplify105.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1630×	`rational.json-simplify-35`
1234×	`rational.json-simplify-2`
950×	`rational.json-simplify-51`
804×	`rational.json-simplify-1`
646×	`rational.json-simplify-46`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	129	1848
1	272	1808
2	585	1808
3	1725	1808
4	4775	1808
5	7254	1808

Stop Event

1×	node limit

Counts

62 → 82

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 x (+.f64 (/.f64 1 x) -1/2))
✓	30.1b	(/.f64 (/.f64 x (+.f64 (/.f64 1 x) -1/2)) (*.f64 x x))

Compiler

Compiled 33 to 21 computations (36.4% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite71.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2060×	`rational.json-simplify-35`
1190×	`rational.json-simplify-2`
1170×	`exponential.json-3`
1170×	`rational.json-1`
1170×	`rational.json-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	50
1	88	50
2	289	44
3	1113	44
4	4274	44

Stop Event

1×	node limit

Counts

2 → 117

Calls

Call 1

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

Outputs

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

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

simplify122.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

940×	`rational.json-simplify-35`
852×	`rational.json-simplify-51`
802×	`rational.json-simplify-44`
734×	`rational.json-simplify-41`
694×	`rational.json-simplify-55`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	261	4029
1	553	3981
2	1344	3969
3	4005	3873
4	7750	3873

Stop Event

1×	node limit

Counts

141 → 177

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (neg.f64 (+.f64 2 (.f64 4 (/.f64 1 x)))) (/.f64 1 x))

Compiler

Compiled 40 to 33 computations (17.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 (neg.f64 (+.f64 2 (.f64 4 (/.f64 1 x)))) (/.f64 1 x))
0.0ms	x	@	inf	(.f64 (neg.f64 (+.f64 2 (.f64 4 (/.f64 1 x)))) (/.f64 1 x))
0.0ms	x	@	-inf	(.f64 (neg.f64 (+.f64 2 (.f64 4 (/.f64 1 x)))) (/.f64 1 x))

rewrite106.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1764×	`rational.json-1`
1060×	`rational.json-2`
1060×	`rational.json-4`
1060×	`rational.json-3`
1058×	`rational.json-simplify-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	92	29
2	194	29
3	408	29
4	1096	29
5	4045	29
6	7947	29

Stop Event

1×	node limit

Counts

1 → 73

Calls

Call 1

Inputs
(.f64 (neg.f64 (+.f64 2 (.f64 4 (/.f64 1 x)))) (/.f64 1 x))

Outputs

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

simplify76.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1800×	`rational.json-simplify-35`
1668×	`rational.json-simplify-51`
1298×	`rational.json-simplify-46`
762×	`rational.json-simplify-50`
762×	`rational.json-simplify-43`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	181	2761
1	645	2275
2	2050	2259
3	5456	2259

Stop Event

1×	node limit

Counts

85 → 82

Calls

Call 1

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

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

eval124.0ms (0.9%)

Compiler: Compiled 6735 to 5078 computations (24.6% saved)

prune67.0ms (0.5%)

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	442	11	453
Fresh	0	3	3
Picked	1	0	1
Done	1	5	6
Total	444	19	463

Error

Counts

463 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	21.2b	(/.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) (+.f64 (*.f64 x 1/6) -1)))
✓	18.7b	(/.f64 (/.f64 1 (-.f64 (/.f64 1 x) 1/2)) x)
	21.6b	(/.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) -1/2))))
	60.9b	(/.f64 (-.f64 (.f64 x -2) 4) (.f64 x x))
✓	39.2b	(/.f64 (-.f64 (exp.f64 x) 1) x)
	59.5b	(/.f64 (+.f64 2 (/.f64 4 x)) (neg.f64 x))
	60.2b	(/.f64 (.f64 x -2) (.f64 x x))
✓	18.6b	(/.f64 2 (+.f64 2 (neg.f64 x)))
✓	58.3b	(/.f64 -2 x)
	62.4b	(+.f64 (-.f64 1 (/.f64 (+.f64 2 (/.f64 2 (*.f64 x 1/2))) x)) -1)
✓	22.5b	(+.f64 (*.f64 1/2 x) 1)
	21.5b	(+.f64 -1 (-.f64 1 (/.f64 -2 (+.f64 2 (neg.f64 x)))))
	19.9b	(.f64 (/.f64 (/.f64 8 (+.f64 2 (neg.f64 x))) (+.f64 2 (neg.f64 x))) (.f64 (+.f64 2 (neg.f64 x)) 1/4))
	40.8b	(.f64 (/.f64 (+.f64 x x) (+.f64 (/.f64 1 x) -1/2)) (.f64 (/.f64 1 x) (/.f64 1/2 x)))
	40.8b	(.f64 (/.f64 x (+.f64 (/.f64 1 x) -1/2)) (/.f64 1 (.f64 x x)))
	47.7b	(.f64 (/.f64 x (.f64 (+.f64 (/.f64 1 x) -1/2) (.f64 x (.f64 x x)))) x)
	48.4b	(.f64 (/.f64 1 (.f64 (+.f64 (/.f64 1 x) -1/2) (.f64 x (.f64 x x)))) (*.f64 x x))
	40.8b	(.f64 x (.f64 4 (/.f64 (/.f64 (/.f64 1/4 x) x) (+.f64 (/.f64 1 x) -1/2))))
	22.0b	1

Compiler

Compiled 223 to 167 computations (25.1% saved)

regimes41.0ms (0.3%)

Counts

28 → 2

Calls

Call 1

Inputs
1
(/.f64 -2 x)
(+.f64 (*.f64 1/2 x) 1)
(/.f64 2 (+.f64 2 (neg.f64 x)))
(/.f64 (.f64 x -2) (.f64 x x))
(/.f64 (+.f64 2 (/.f64 4 x)) (neg.f64 x))
(*.f64 (/.f64 1 (/.f64 1 x)) (/.f64 1 x))
(/.f64 (-.f64 (.f64 x -2) 4) (.f64 x x))
(/.f64 (/.f64 1 (-.f64 (/.f64 1 x) 1/2)) x)
(+.f64 -1 (-.f64 1 (/.f64 -2 (+.f64 2 (neg.f64 x)))))
(*.f64 (/.f64 1 (-.f64 (/.f64 1 x) 1/2)) (/.f64 1 x))
(/.f64 (/.f64 x (+.f64 (/.f64 1 x) -1/2)) (*.f64 x x))
(.f64 (neg.f64 (+.f64 2 (.f64 4 (/.f64 1 x)))) (/.f64 1 x))
(.f64 (/.f64 x (+.f64 (/.f64 1 x) -1/2)) (/.f64 1 (.f64 x x)))
(+.f64 (-.f64 1 (/.f64 (+.f64 2 (/.f64 2 (*.f64 x 1/2))) x)) -1)
(/.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) (+.f64 (*.f64 x 1/6) -1)))
(.f64 x (.f64 4 (/.f64 (/.f64 (/.f64 1/4 x) x) (+.f64 (/.f64 1 x) -1/2))))
(.f64 (/.f64 1 (-.f64 (+.f64 (.f64 1/12 x) (/.f64 1 x)) 1/2)) (/.f64 1 x))
(.f64 (/.f64 x (.f64 (+.f64 (/.f64 1 x) -1/2) (.f64 x (.f64 x x)))) x)
(.f64 (/.f64 1 (.f64 (+.f64 (/.f64 1 x) -1/2) (.f64 x (.f64 x x)))) (*.f64 x x))
(.f64 (/.f64 (+.f64 x x) (+.f64 (/.f64 1 x) -1/2)) (.f64 (/.f64 1 x) (/.f64 1/2 x)))
(.f64 (/.f64 (/.f64 8 (+.f64 2 (neg.f64 x))) (+.f64 2 (neg.f64 x))) (.f64 (+.f64 2 (neg.f64 x)) 1/4))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6))
(*.f64 (/.f64 1 (/.f64 1 (+.f64 (exp.f64 x) -1))) (/.f64 1 x))
(/.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) -1/2))))
(.f64 (/.f64 1 (-.f64 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (*.f64 (pow.f64 x 3) -1/720)) 1/2)) (/.f64 1 x))
(+.f64 (.f64 x 1/2) (+.f64 1 (+.f64 (.f64 (pow.f64 x 3) 1/24) (*.f64 (pow.f64 x 2) 1/6))))

Outputs
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) -1/2))))

Calls

2 calls:

24.0ms	x
8.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)

Results

Error	Segments	Branch
0b	2	`x`
0.7b	2	`(/.f64 (-.f64 (exp.f64 x) 1) x)`

Compiler

Compiled 333 to 240 computations (27.9% saved)

bsearch17.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
17.0ms	-55.93286113406456	-3.3019993776780917e-9

Results

15.0ms

160×

body

256

valid

Compiler

Compiled 301 to 238 computations (20.9% saved)

regimes36.0ms (0.2%)

Counts

25 → 2

Calls

Call 1

Inputs
1
(/.f64 -2 x)
(+.f64 (*.f64 1/2 x) 1)
(/.f64 2 (+.f64 2 (neg.f64 x)))
(/.f64 (.f64 x -2) (.f64 x x))
(/.f64 (+.f64 2 (/.f64 4 x)) (neg.f64 x))
(*.f64 (/.f64 1 (/.f64 1 x)) (/.f64 1 x))
(/.f64 (-.f64 (.f64 x -2) 4) (.f64 x x))
(/.f64 (/.f64 1 (-.f64 (/.f64 1 x) 1/2)) x)
(+.f64 -1 (-.f64 1 (/.f64 -2 (+.f64 2 (neg.f64 x)))))
(*.f64 (/.f64 1 (-.f64 (/.f64 1 x) 1/2)) (/.f64 1 x))
(/.f64 (/.f64 x (+.f64 (/.f64 1 x) -1/2)) (*.f64 x x))
(.f64 (neg.f64 (+.f64 2 (.f64 4 (/.f64 1 x)))) (/.f64 1 x))
(.f64 (/.f64 x (+.f64 (/.f64 1 x) -1/2)) (/.f64 1 (.f64 x x)))
(+.f64 (-.f64 1 (/.f64 (+.f64 2 (/.f64 2 (*.f64 x 1/2))) x)) -1)
(/.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) (+.f64 (*.f64 x 1/6) -1)))
(.f64 x (.f64 4 (/.f64 (/.f64 (/.f64 1/4 x) x) (+.f64 (/.f64 1 x) -1/2))))
(.f64 (/.f64 1 (-.f64 (+.f64 (.f64 1/12 x) (/.f64 1 x)) 1/2)) (/.f64 1 x))
(.f64 (/.f64 x (.f64 (+.f64 (/.f64 1 x) -1/2) (.f64 x (.f64 x x)))) x)
(.f64 (/.f64 1 (.f64 (+.f64 (/.f64 1 x) -1/2) (.f64 x (.f64 x x)))) (*.f64 x x))
(.f64 (/.f64 (+.f64 x x) (+.f64 (/.f64 1 x) -1/2)) (.f64 (/.f64 1 x) (/.f64 1/2 x)))
(.f64 (/.f64 (/.f64 8 (+.f64 2 (neg.f64 x))) (+.f64 2 (neg.f64 x))) (.f64 (+.f64 2 (neg.f64 x)) 1/4))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6))
(*.f64 (/.f64 1 (/.f64 1 (+.f64 (exp.f64 x) -1))) (/.f64 1 x))

Outputs
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) (+.f64 (*.f64 x 1/6) -1)))

Calls

2 calls:

22.0ms	x
6.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)

Results

Error	Segments	Branch
0.0b	2	`x`
0.7b	2	`(/.f64 (-.f64 (exp.f64 x) 1) x)`

Compiler

Compiled 276 to 194 computations (29.7% saved)

bsearch18.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
17.0ms	-55.93286113406456	-3.3019993776780917e-9

Results

15.0ms

160×

body

256

valid

Compiler

Compiled 241 to 188 computations (22% saved)

regimes17.0ms (0.1%)

Counts

22 → 1

Calls

Call 1

Inputs
1
(/.f64 -2 x)
(+.f64 (*.f64 1/2 x) 1)
(/.f64 2 (+.f64 2 (neg.f64 x)))
(/.f64 (.f64 x -2) (.f64 x x))
(/.f64 (+.f64 2 (/.f64 4 x)) (neg.f64 x))
(*.f64 (/.f64 1 (/.f64 1 x)) (/.f64 1 x))
(/.f64 (-.f64 (.f64 x -2) 4) (.f64 x x))
(/.f64 (/.f64 1 (-.f64 (/.f64 1 x) 1/2)) x)
(+.f64 -1 (-.f64 1 (/.f64 -2 (+.f64 2 (neg.f64 x)))))
(*.f64 (/.f64 1 (-.f64 (/.f64 1 x) 1/2)) (/.f64 1 x))
(/.f64 (/.f64 x (+.f64 (/.f64 1 x) -1/2)) (*.f64 x x))
(.f64 (neg.f64 (+.f64 2 (.f64 4 (/.f64 1 x)))) (/.f64 1 x))
(.f64 (/.f64 x (+.f64 (/.f64 1 x) -1/2)) (/.f64 1 (.f64 x x)))
(+.f64 (-.f64 1 (/.f64 (+.f64 2 (/.f64 2 (*.f64 x 1/2))) x)) -1)
(/.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) (+.f64 (*.f64 x 1/6) -1)))
(.f64 x (.f64 4 (/.f64 (/.f64 (/.f64 1/4 x) x) (+.f64 (/.f64 1 x) -1/2))))
(.f64 (/.f64 1 (-.f64 (+.f64 (.f64 1/12 x) (/.f64 1 x)) 1/2)) (/.f64 1 x))
(.f64 (/.f64 x (.f64 (+.f64 (/.f64 1 x) -1/2) (.f64 x (.f64 x x)))) x)
(.f64 (/.f64 1 (.f64 (+.f64 (/.f64 1 x) -1/2) (.f64 x (.f64 x x)))) (*.f64 x x))
(.f64 (/.f64 (+.f64 x x) (+.f64 (/.f64 1 x) -1/2)) (.f64 (/.f64 1 x) (/.f64 1/2 x)))
(.f64 (/.f64 (/.f64 8 (+.f64 2 (neg.f64 x))) (+.f64 2 (neg.f64 x))) (.f64 (+.f64 2 (neg.f64 x)) 1/4))

Outputs
(/.f64 2 (+.f64 2 (neg.f64 x)))

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
18.6b	1	`x`

Compiler

Compiled 240 to 167 computations (30.4% saved)

regimes10.0ms (0.1%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
18.6b	2	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch19.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
19.0ms	-55.93286113406456	-3.3019993776780917e-9

Results

17.0ms

160×

body

256

valid

Compiler

Compiled 131 to 108 computations (17.6% saved)

regimes7.0ms (0%)

Accuracy

Total -42.5b remaining (-224.5%)

Threshold costs -42.5b (-224.5%)

Counts

2 → 2

Calls

Call 1

Inputs
1
(/.f64 -2 x)

Outputs
(/.f64 -2 x)
1

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
18.9b	2	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

bsearch19.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
19.0ms	-55.93286113406456	-3.3019993776780917e-9

Results

14.0ms

160×

body

256

valid

Compiler

Compiled 91 to 78 computations (14.3% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	208

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -5620492334958379/288230376151711744) (/.f64 (-.f64 (exp.f64 x) 1) x) (/.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) -1/2)))))
(if (<=.f64 x -2132904783522667/1152921504606846976) (/.f64 (-.f64 (exp.f64 x) 1) x) (/.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) (+.f64 (*.f64 x 1/6) -1))))
(/.f64 2 (+.f64 2 (neg.f64 x)))
(if (<=.f64 x -6980579422424269/4503599627370496) (/.f64 -2 x) (+.f64 (*.f64 1/2 x) 1))
(if (<=.f64 x -2) (/.f64 -2 x) 1)
1

Outputs
(if (<=.f64 x -5620492334958379/288230376151711744) (/.f64 (-.f64 (exp.f64 x) 1) x) (/.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 (.f64 (pow.f64 x 3) -1/720) -1/2)))))
(if (<=.f64 x -2132904783522667/1152921504606846976) (/.f64 (-.f64 (exp.f64 x) 1) x) (/.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) (+.f64 (*.f64 x 1/6) -1))))
(/.f64 2 (+.f64 2 (neg.f64 x)))
(if (<=.f64 x -6980579422424269/4503599627370496) (/.f64 -2 x) (+.f64 (*.f64 1/2 x) 1))
(if (<=.f64 x -2) (/.f64 -2 x) 1)
1

Compiler

Compiled 85 to 66 computations (22.4% saved)

soundness150.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1238×	`rational.json-simplify-50`
964×	`rational.json-simplify-35`
848×	`rational.json-simplify-51`
740×	`rational.json-simplify-2`
526×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	750	18398
1	3295	18090
2	5417	17168
3	7611	17116

Stop Event

1×	node limit

Compiler

Compiled 106 to 86 computations (18.9% saved)

end50.0ms (0.3%)

Compiler: Compiled 80 to 60 computations (25% saved)

Details

analyze4.0ms (0%)

sample2.3s (15.7%)

preprocess2.0s (13.7%)

simplify2.0s (13.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0%)

series1.0ms (0%)

rewrite93.0ms (0.6%)

simplify114.0ms (0.8%)

eval36.0ms (0.3%)

prune912.0ms (6.3%)

localize14.0ms (0.1%)

series2.0ms (0%)

rewrite235.0ms (1.6%)

simplify695.0ms (4.8%)

localize5.0ms (0%)

localize72.0ms (0.5%)

series3.0ms (0%)

rewrite179.0ms (1.2%)

simplify759.0ms (5.2%)

localize13.0ms (0.1%)

series1.0ms (0%)

rewrite188.0ms (1.3%)

simplify811.0ms (5.6%)

eval622.0ms (4.3%)

prune393.0ms (2.7%)

localize21.0ms (0.1%)

series4.0ms (0%)

rewrite82.0ms (0.6%)

simplify180.0ms (1.2%)

localize35.0ms (0.2%)

series83.0ms (0.6%)

rewrite94.0ms (0.6%)

simplify209.0ms (1.4%)

localize13.0ms (0.1%)

series1.0ms (0%)

rewrite75.0ms (0.5%)

simplify225.0ms (1.5%)

localize8.0ms (0.1%)

series0.0ms (0%)

rewrite90.0ms (0.6%)

simplify145.0ms (1%)

eval363.0ms (2.5%)

prune118.0ms (0.8%)

localize6.0ms (0%)

series0.0ms (0%)

rewrite73.0ms (0.5%)

simplify117.0ms (0.8%)

localize2.0ms (0%)

localize11.0ms (0.1%)

series0.0ms (0%)

rewrite75.0ms (0.5%)

simplify105.0ms (0.7%)

localize12.0ms (0.1%)

series1.0ms (0%)

rewrite71.0ms (0.5%)

simplify122.0ms (0.8%)

localize15.0ms (0.1%)

series1.0ms (0%)

rewrite106.0ms (0.7%)

simplify76.0ms (0.5%)

eval124.0ms (0.9%)

prune67.0ms (0.5%)

regimes41.0ms (0.3%)

bsearch17.0ms (0.1%)

regimes36.0ms (0.2%)

bsearch18.0ms (0.1%)

regimes17.0ms (0.1%)

regimes10.0ms (0.1%)

bsearch19.0ms (0.1%)

regimes7.0ms (0%)

bsearch19.0ms (0.1%)

simplify4.0ms (0%)

soundness150.0ms (1%)

end50.0ms (0.3%)

Profiling