Details

sample125.0ms

Algorithm

intervals

Results

86.0ms	188×	body	1280	valid
12.0ms	43×	body	640	valid
11.0ms	232×	body	80	valid
2.0ms	11×	body	320	valid
1.0ms	9×	body	160	valid

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
157	1992
156	1979
155	1973
154	1954
153	1946
152	1933
151	1927
150	1908
149	1900
148	1887
147	1881
146	1862
145	1854
144	1841
143	1835
142	1816
141	1806
140	1793
139	1787
138	1768
137	1756
136	1743
135	1737
134	1718
133	1706
132	1693
131	1687
130	1666
129	1656
128	1639
127	1633
126	1618
125	1604
124	1591
123	1585
122	1566
121	1558
120	1545
119	1539
118	1520
117	1510
116	1497
115	1491
114	1472
113	1462
112	1449
111	1443
110	1424
109	1414
108	1401
107	1395
106	1376
105	1366
104	1353
103	1347
102	1328
101	1318
100	1305
99	1299
98	1280
97	1270
96	1257
95	1251
94	1232
93	1222
92	1209
91	1203
90	1184
89	1174
88	1161
87	1155
86	1136
85	1130
84	1117
83	1111
82	1092
81	1082
80	1069
79	1063
78	1044
77	1036
76	1023
75	1017
74	998
73	990
72	977
71	971
70	952
69	942
68	929
67	923
66	904
65	894
64	881
63	875
62	856
61	846
60	833
59	827
58	808
57	798
56	785
55	779
54	760
53	750
52	737
51	731
50	712
49	702
48	689
47	683
46	664
45	654
44	641
43	635
42	616
41	606
40	593
39	587
38	568
37	556
36	543
35	537
34	518
33	510
32	497
31	491
30	472
29	462
28	449
27	443
26	424
25	414
24	401
23	395
22	376
21	368
20	355
19	349
18	330
17	320
16	307
15	301
14	284
13	274
12	253
11	246
10	215
9	173
8	101
7	73
6	64
5	60
4	57
3	43
2	27
1	15
0	7

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 28.4b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2)
3.0b	(+ (- (exp x) 2) (exp (- x)))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
18×	`prod-diff`
16×	`add-cube-cbrt`
11×	`associate-+l+`
9×	`add-log-exp`
5×	`fma-def`
4×	`frac-add`
3×	`flip3--` `fma-neg` `flip--` `distribute-lft-out--`
2×	`neg-sub0` `exp-neg` `expm1-log1p-u` `pow1` `sum-log` `sub-neg` `add-cbrt-cube` `exp-diff` `diff-log` `add-exp-log` `insert-posit16` `log1p-expm1-u` `distribute-lft-out` `difference-of-squares`
1×	`+-commutative` `flip3-+` `associate-+l-` `flip-+`

Counts

2 → 67

Calls

2 calls:

18.0ms	(- (exp x) 2)
53.0ms	(+ (- (exp x) 2) (exp (- x)))

series113.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(- (exp x) 2)
95.0ms	(+ (- (exp x) 2) (exp (- x)))

simplify665.0ms

Counts

73 → 73

Iterations

Iter	Nodes
done	2002
2	876
1	300
0	124

prune235.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (* x x))
0.1b	(* x (* x x))
0.1b	(* (* x (* x x)) (* x (* x x)))
0.1b	(* (* x x) (* x x))

rewrite208.0ms

Algorithm

rewrite-expression-head

Rules

403×	`pow1`
162×	`pow-prod-up`
102×	`pow-prod-down`
62×	`add-cbrt-cube` `add-exp-log`
54×	`pow-sqr`
41×	`pow-plus` `prod-exp` `cbrt-unprod`
30×	`pow2`
16×	`cube-unmult`
8×	`add-sqr-sqrt` `associate-l`
6×	`*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `associate-r` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`swap-sqr`

Counts

4 → 222

Calls

4 calls:

27.0ms	(* x (* x x))
27.0ms	(* x (* x x))
119.0ms	(* (* x (* x x)) (* x (* x x)))
26.0ms	(* (* x x) (* x x))

series259.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* x (* x x))
62.0ms	(* x (* x x))
69.0ms	(* (* x (* x x)) (* x (* x x)))
63.0ms	(* (* x x) (* x x))

simplify624.0ms

Counts

234 → 234

Iterations

Iter	Nodes
done	2002
2	717
1	346
0	122

prune401.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp x) (exp x))
0.0b	(* (exp x) (exp x))
0.1b	(fma (exp x) (fma (* (exp x) (exp x)) (exp x) -8) (fma (exp x) 2 4))
4.1b	(+ (fma (exp x) (fma (* (exp x) (exp x)) (exp x) -8) (fma (exp x) 2 4)) (* (exp x) (exp x)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

36×	`exp-prod`
29×	`add-sqr-sqrt`
25×	`*-un-lft-identity` `add-cube-cbrt`
18×	`pow1`
8×	`add-cbrt-cube` `pow-prod-down` `pow-sqr` `pow-prod-up`
6×	`swap-sqr` `associate-r` `associate-l` `add-log-exp`
4×	`expm1-log1p-u` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`fma-def`
2×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`
1×	`+-commutative` `associate-+l+` `sum-log` `flip3-+` `flip-+`

Counts

4 → 103

Calls

4 calls:

27.0ms	(* (exp x) (exp x))
27.0ms	(* (exp x) (exp x))
0.0ms	(fma (exp x) (fma (* (exp x) (exp x)) (exp x) -8) (fma (exp x) 2 4))
11.0ms	(+ (fma (exp x) (fma (* (exp x) (exp x)) (exp x) -8) (fma (exp x) 2 4)) (* (exp x) (exp x)))

series305.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (exp x) (exp x))
25.0ms	(* (exp x) (exp x))
93.0ms	(fma (exp x) (fma (* (exp x) (exp x)) (exp x) -8) (fma (exp x) 2 4))
160.0ms	(+ (fma (exp x) (fma (* (exp x) (exp x)) (exp x) -8) (fma (exp x) 2 4)) (* (exp x) (exp x)))

simplify661.0ms

Counts

115 → 115

Iterations

Iter	Nodes
done	2001
2	977
1	282
0	109

prune573.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (* (exp x) (exp x)))
0.0b	(* (cbrt (* (exp x) (exp x))) (cbrt (* (exp x) (exp x))))
0.1b	(fma (exp x) (fma (* (exp x) (exp x)) (exp x) -8) (fma (exp x) 2 4))
4.6b	(+ (fma (exp x) (fma (* (exp x) (exp x)) (exp x) -8) (fma (exp x) 2 4)) (* (* (cbrt (* (exp x) (exp x))) (cbrt (* (exp x) (exp x)))) (cbrt (* (exp x) (exp x)))))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
11×	`pow1`
9×	`cbrt-prod` `*-un-lft-identity` `add-cube-cbrt`
7×	`pow1/3`
6×	`add-exp-log` `add-log-exp`
4×	`expm1-log1p-u` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `insert-posit16` `log1p-expm1-u` `unswap-sqr`
3×	`fma-def`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up` `fma-udef`
1×	`pow2` `+-commutative` `associate-+l+` `sum-log` `flip3-+` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

4 → 78

Calls

4 calls:

16.0ms	(cbrt (* (exp x) (exp x)))
40.0ms	(* (cbrt (* (exp x) (exp x))) (cbrt (* (exp x) (exp x))))
0.0ms	(fma (exp x) (fma (* (exp x) (exp x)) (exp x) -8) (fma (exp x) 2 4))
12.0ms	(+ (fma (exp x) (fma (* (exp x) (exp x)) (exp x) -8) (fma (exp x) 2 4)) (* (* (cbrt (* (exp x) (exp x))) (cbrt (* (exp x) (exp x)))) (cbrt (* (exp x) (exp x)))))

series496.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(cbrt (* (exp x) (exp x)))
136.0ms	(* (cbrt (* (exp x) (exp x))) (cbrt (* (exp x) (exp x))))
89.0ms	(fma (exp x) (fma (* (exp x) (exp x)) (exp x) -8) (fma (exp x) 2 4))
148.0ms	(+ (fma (exp x) (fma (* (exp x) (exp x)) (exp x) -8) (fma (exp x) 2 4)) (* (* (cbrt (* (exp x) (exp x))) (cbrt (* (exp x) (exp x)))) (cbrt (* (exp x) (exp x)))))

simplify779.0ms

Counts

90 → 90

Iterations

Iter	Nodes
done	2001
2	852
1	298
0	125

prune541.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes18.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	10
1	10
0	9

end0.0ms

sample5.4s

Algorithm

intervals

Results

3.9s	5684×	body	1280	valid
528.0ms	7792×	body	80	valid
457.0ms	1245×	body	640	valid
211.0ms	600×	body	320	valid
86.0ms	301×	body	160	valid