Details

sample385.0ms

Algorithm

intervals

Results

245.0ms	126×	body	1280	valid
65.0ms	64×	body	640	valid
23.0ms	256×	pre	80	true
17.0ms	26×	body	320	valid
9.0ms	38×	body	80	valid
1.0ms	2×	body	160	valid

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
113	2000
112	1986
111	1968
110	1953
109	1937
108	1917
107	1903
106	1888
105	1870
104	1854
103	1840
102	1823
101	1807
100	1791
99	1771
98	1756
97	1740
96	1720
95	1706
94	1691
93	1673
92	1657
91	1643
90	1626
89	1610
88	1594
87	1574
86	1559
85	1543
84	1521
83	1507
82	1492
81	1474
80	1458
79	1444
78	1427
77	1411
76	1395
75	1377
74	1362
73	1346
72	1324
71	1310
70	1295
69	1277
68	1261
67	1247
66	1230
65	1214
64	1198
63	1178
62	1163
61	1147
60	1127
59	1113
58	1098
57	1080
56	1064
55	1050
54	1033
53	1017
52	1001
51	983
50	968
49	952
48	932
47	918
46	903
45	885
44	869
43	855
42	838
41	822
40	806
39	786
38	771
37	755
36	733
35	719
34	704
33	686
32	670
31	656
30	639
29	623
28	607
27	587
26	572
25	556
24	534
23	520
22	505
21	487
20	471
19	457
18	440
17	424
16	408
15	386
14	370
13	360
12	330
11	270
10	178
9	126
8	93
7	78
6	58
5	46
4	35
3	29
2	22
1	15
0	9

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.7b

localize29.0ms

Local error

Found 3 expressions with local error:

0.1b	(+ x (- (tan (+ y z)) (tan a)))
0.2b	(- (tan (+ y z)) (tan a))
3.3b	(tan (+ y z))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity` `add-log-exp`
5×	`add-sqr-sqrt`
4×	`tan-quot`
3×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16`
2×	`tan-sum` `associate-+r+` `sum-log` `sub-neg` `diff-log` `frac-sub` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+r-` `flip3-+` `flip3--` `flip-+` `flip--` `difference-of-squares`

Counts

3 → 45

Calls

3 calls:

20.0ms	(+ x (- (tan (+ y z)) (tan a)))
26.0ms	(- (tan (+ y z)) (tan a))
8.0ms	(tan (+ y z))

series390.0ms

Counts

3 → 9

Calls

3 calls:

163.0ms	(+ x (- (tan (+ y z)) (tan a)))
145.0ms	(- (tan (+ y z)) (tan a))
81.0ms	(tan (+ y z))

simplify973.0ms

Counts

54 → 54

Iterations

Iter	Nodes
done	2000
4	2000
3	1509
2	472
1	200
0	94

prune325.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize46.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
0.1b	(+ (tan y) (tan z))
0.2b	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
0.2b	(* (tan y) (tan z))

rewrite212.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
13×	`add-sqr-sqrt` `add-log-exp`
7×	`tan-quot`
6×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
4×	`insert-posit16`
3×	`sum-log` `associate-r` `associate-l` `distribute-lft-out`
2×	`+-commutative` `associate-+r+` `sub-neg` `flip3-+` `diff-log` `flip-+` `distribute-lft-out--` `difference-of-squares`
1×	`frac-times` `associate-+r-` `times-frac` `flip3--` `pow-prod-down` `associate-l/` `frac-add` `prod-exp` `associate-r/` `*-commutative` `frac-sub` `cbrt-unprod` `flip--` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

100.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
7.0ms	(+ (tan y) (tan z))
74.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
31.0ms	(* (tan y) (tan z))

series1.3s

Counts

4 → 12

Calls

4 calls:

514.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
133.0ms	(+ (tan y) (tan z))
532.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
115.0ms	(* (tan y) (tan z))

simplify1.1s

Counts

83 → 83

Iterations

Iter	Nodes
done	2000
3	2000
2	1022
1	379
0	159

prune541.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b	(exp (* (tan y) (tan z)))
0.2b	(- (/ (+ (tan y) (tan z)) (- 1 (log (exp (* (tan y) (tan z)))))) (tan a))
0.2b	(* (tan y) (tan z))
2.8b	(log (exp (* (tan y) (tan z))))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
9×	`*-un-lft-identity` `add-log-exp`
7×	`pow1` `add-cube-cbrt`
6×	`add-cbrt-cube` `add-exp-log`
5×	`tan-quot`
4×	`insert-posit16`
3×	`log-prod` `associate-r` `associate-l` `log-pow`
2×	`exp-prod` `exp-to-pow` `difference-of-squares`
1×	`frac-times` `sub-neg` `times-frac` `flip3--` `diff-log` `rem-log-exp` `pow-prod-down` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `frac-sub` `cbrt-unprod` `flip--` `distribute-lft-out--` `unswap-sqr` `rem-exp-log`

Counts

4 → 65

Calls

4 calls:

15.0ms	(exp (* (tan y) (tan z)))
74.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (log (exp (* (tan y) (tan z)))))) (tan a))
13.0ms	(* (tan y) (tan z))
4.0ms	(log (exp (* (tan y) (tan z))))

series934.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(exp (* (tan y) (tan z)))
515.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (log (exp (* (tan y) (tan z)))))) (tan a))
118.0ms	(* (tan y) (tan z))
142.0ms	(log (exp (* (tan y) (tan z))))

simplify1.2s

Counts

77 → 77

Iterations

Iter	Nodes
done	2001
4	2001
3	1708
2	631
1	272
0	132

prune533.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize64.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (tan y) (tan z))
0.2b	(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (tan a))
0.2b	(* (sin y) (sin z))
0.3b	(/ (* (sin y) (sin z)) (* (cos y) (cos z)))

rewrite292.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-cbrt-cube` `add-exp-log`
13×	`add-sqr-sqrt`
10×	`*-un-lft-identity`
8×	`add-log-exp`
6×	`pow1` `add-cube-cbrt`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp` `insert-posit16`
3×	`associate-r` `associate-l` `tan-quot`
2×	`times-frac` `sin-mult` `difference-of-squares`
1×	`+-commutative` `clear-num` `associate-/r` `sum-log` `sub-neg` `frac-2neg` `flip3-+` `flip3--` `diff-log` `pow-prod-down` `frac-add` `associate-/r/` `cos-mult` `-commutative` `frac-sub` `flip-+` `div-inv` `flip--` `distribute-lft-out` `associate-/l*` `distribute-lft-out--` `unswap-sqr` `associate-/l/`

Counts

4 → 75

Calls

4 calls:

7.0ms	(+ (tan y) (tan z))
240.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (tan a))
10.0ms	(* (sin y) (sin z))
33.0ms	(/ (* (sin y) (sin z)) (* (cos y) (cos z)))

series882.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(+ (tan y) (tan z))
546.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (tan a))
70.0ms	(* (sin y) (sin z))
121.0ms	(/ (* (sin y) (sin z)) (* (cos y) (cos z)))

simplify1.0s

Counts

87 → 87

Iterations

Iter	Nodes
done	2001
3	2001
2	1560
1	435
0	175

prune628.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

regimes452.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	31
1	31
0	24

end0.0ms

sample13.2s

Algorithm

intervals

Results

8.0s	3893×	body	1280	valid
2.9s	2022×	body	640	valid
879.0ms	8000×	pre	80	true
592.0ms	692×	body	320	valid
329.0ms	1135×	body	80	valid
126.0ms	258×	body	160	valid