Details

sample162.0ms

Algorithm

intervals

Results

102.0ms	183×	body	1280	valid
14.0ms	249×	body	80	valid
13.0ms	41×	body	640	valid
5.0ms	21×	body	320	valid
1.0ms	7×	body	160	valid

simplify7.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
84	4997
83	4933
82	4869
81	4806
80	4741
79	4677
78	4613
77	4550
76	4485
75	4421
74	4357
73	4294
72	4229
71	4165
70	4101
69	4038
68	3973
67	3909
66	3845
65	3782
64	3717
63	3653
62	3589
61	3526
60	3461
59	3397
58	3333
57	3270
56	3205
55	3141
54	3077
53	3014
52	2949
51	2885
50	2821
49	2758
48	2693
47	2629
46	2565
45	2502
44	2437
43	2373
42	2309
41	2246
40	2181
39	2117
38	2053
37	1990
36	1925
35	1861
34	1797
33	1734
32	1669
31	1605
30	1541
29	1478
28	1413
27	1349
26	1285
25	1222
24	1157
23	1093
22	1029
21	966
20	901
19	837
18	773
17	710
16	645
15	581
14	515
13	449
12	385
11	330
10	243
9	152
8	94
7	73
6	60
5	53
4	49
3	40
2	26
1	14
0	7

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 30.7b

localize53.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
3.5b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite190.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity` `add-log-exp`
4×	`add-sqr-sqrt` `frac-add`
3×	`flip3--` `flip--`
2×	`neg-sub0` `exp-neg` `pow1` `associate-+l+` `sum-log` `sub-neg` `add-cbrt-cube` `exp-diff` `diff-log` `add-exp-log` `add-cube-cbrt` `insert-posit16` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `flip3-+` `associate-+l-` `flip-+` `difference-of-squares`

Counts

2 → 37

Calls

2 calls:

36.0ms	(- (exp x) 2.0)
150.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series129.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(- (exp x) 2.0)
111.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify6.3s

Counts

43 → 43

Iterations

Iter	Nodes
done	5001
3	2860
2	640
1	217
0	95

prune364.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize113.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (* x x))
0.1b	(* (* x x) (* (* x x) 1/12))
0.1b	(* 1/360 (* x (* x x)))
0.2b	(* (* x x) 1/12)

rewrite367.0ms

Algorithm

rewrite-expression-head

Rules

53×	`pow1`
44×	`add-cbrt-cube` `add-exp-log`
27×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-sqr-sqrt`
8×	`associate-l`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-r`
5×	`pow-prod-up`
4×	`*-commutative` `insert-posit16` `add-log-exp`
2×	`unswap-sqr`
1×	`pow2` `pow-plus` `cube-unmult` `pow-sqr`

Counts

4 → 96

Calls

4 calls:

45.0ms	(* x (* x x))
134.0ms	(* (* x x) (* (* x x) 1/12))
112.0ms	(* 1/360 (* x (* x x)))
63.0ms	(* (* x x) 1/12)

series267.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* x (* x x))
84.0ms	(* (* x x) (* (* x x) 1/12))
56.0ms	(* 1/360 (* x (* x x)))
57.0ms	(* (* x x) 1/12)

simplify4.1s

Counts

108 → 108

Iterations

Iter	Nodes
done	5000
2	1392
1	301
0	113

prune749.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp (- x)) 2.0)
3.5b	(+ (exp x) (- (exp (- x)) 2.0))

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

46.0ms	(- (exp (- x)) 2.0)
123.0ms	(+ (exp x) (- (exp (- x)) 2.0))

series127.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(- (exp (- x)) 2.0)
106.0ms	(+ (exp x) (- (exp (- x)) 2.0))

simplify3.9s

Counts

39 → 39

Iterations

Iter	Nodes
done	5003
3	2326
2	596
1	200
0	79

prune330.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize149.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (* (* (+ (exp x) (- (exp (- x)) 2.0)) (+ (exp x) (- (exp (- x)) 2.0))) (+ (exp x) (- (exp (- x)) 2.0))))
3.5b	(+ (exp x) (- (exp (- x)) 2.0))
3.5b	(+ (exp x) (- (exp (- x)) 2.0))
3.5b	(+ (exp x) (- (exp (- x)) 2.0))

rewrite1.5s

Algorithm

rewrite-expression-head

Rules

30×	`flip3-+` `flip-+`
28×	`frac-times`
26×	`cbrt-div`
19×	`*-un-lft-identity` `add-log-exp`
14×	`associate-*l/`
8×	`associate-*r/`
6×	`associate-+r+` `sum-log` `distribute-lft-out`
4×	`add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16`
3×	`+-commutative` `associate-+r-` `sub-neg` `diff-log` `distribute-lft-out--`
1×	`cbrt-prod` `pow1/3` `pow3` `rem-cbrt-cube`

Counts

4 → 91

Calls

4 calls:

1.0s	(cbrt (* (* (+ (exp x) (- (exp (- x)) 2.0)) (+ (exp x) (- (exp (- x)) 2.0))) (+ (exp x) (- (exp (- x)) 2.0))))
161.0ms	(+ (exp x) (- (exp (- x)) 2.0))
149.0ms	(+ (exp x) (- (exp (- x)) 2.0))
118.0ms	(+ (exp x) (- (exp (- x)) 2.0))

series385.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(cbrt (* (* (+ (exp x) (- (exp (- x)) 2.0)) (+ (exp x) (- (exp (- x)) 2.0))) (+ (exp x) (- (exp (- x)) 2.0))))
89.0ms	(+ (exp x) (- (exp (- x)) 2.0))
94.0ms	(+ (exp x) (- (exp (- x)) 2.0))
92.0ms	(+ (exp x) (- (exp (- x)) 2.0))

simplify4.3s

Counts

103 → 103

Iterations

Iter	Nodes
done	5008
2	2017
1	440
0	148

prune995.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes82.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	18
1	18
0	11

end0.0ms

sample6.0s

Algorithm

intervals

Results

4.1s	5681×	body	1280	valid
691.0ms	8197×	body	80	valid
561.0ms	1232×	body	640	valid
178.0ms	585×	body	320	valid
87.0ms	347×	body	160	valid