Details

sample79.0ms

Algorithm

intervals

Results

49.0ms	179×	body	1280	valid
8.0ms	276×	body	80	valid
6.0ms	34×	body	640	valid
3.0ms	25×	body	320	valid
1.0ms	12×	body	160	valid

simplify2.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	14	8
2	26	8
3	38	8
4	50	8
5	62	8
6	73	8
7	90	8
8	110	8
9	138	8
10	170	8
11	223	8
12	274	8
13	336	8
14	387	8
15	456	8
16	516	8
17	591	8
18	660	8
19	749	8
20	815	8
21	900	8
22	969	8
23	1073	8
24	1164	8
25	1288	8
26	1402	8
27	1561	8
28	1686	8
29	1848	8
30	2001	8
31	2191	8
32	2353	8
33	2553	8
34	2721	8
35	2938	8
36	3084	8
37	3278	8
38	3439	8
39	3655	8
40	3809	8
41	4019	8
42	4182	8
43	4404	8
44	4591	8
45	4840	8
done	5001	8

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 29.4b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
4.9b	(+ (- (exp x) 2.0) (exp (neg x)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

4.0ms	(- (exp x) 2.0)
9.0ms	(+ (- (exp x) 2.0) (exp (neg x)))

series10.0ms

Counts

2 → 6

Calls

2 calls:

2.0ms	(- (exp x) 2.0)
8.0ms	(+ (- (exp x) 2.0) (exp (neg x)))

simplify592.0ms

Counts

41 → 41

Iterations

Useful iterations: 3 (167.0ms)

Iter	Nodes	Cost
0	93	511
1	213	470
2	583	445
3	1982	432
done	5000	432

prune65.0ms

Filtered

29 candidates to 41 candidates (-41.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	2	42

Merged error: 0.0b

Counts

42 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow x 4)
0.0b	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
0.1b	(* 1/360 (pow x 6))
0.1b	(* 1/12 (pow x 4))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
15×	`add-exp-log`
14×	`associate-r`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`unpow-prod-down`
8×	`add-cbrt-cube`
6×	`associate-l` `prod-exp` `add-log-exp` `unswap-sqr`
5×	`pow1` `sqr-pow`
3×	`pow-to-exp` `pow-unpow` `pow-exp`
2×	`*-commutative` `cbrt-unprod`
1×	`+-commutative` `pow-pow` `flip3-+` `sum-log` `flip-+`

Counts

4 → 78

Calls

4 calls:

2.0ms	(pow x 4)
5.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
6.0ms	(* 1/360 (pow x 6))
6.0ms	(* 1/12 (pow x 4))

series30.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(pow x 4)
13.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
5.0ms	(* 1/360 (pow x 6))
4.0ms	(* 1/12 (pow x 4))

simplify1.6s

Counts

90 → 90

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	120	801
1	287	705
2	763	666
3	3571	646
done	5000	643

prune146.0ms

Filtered

55 candidates to 90 candidates (-63.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	90	2	92

Merged error: 0.0b

Counts

92 → 2

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp x) (+ (- (pow (exp x) 3) (pow 2.0 3)) (exp x)))
0.0b	(+ (* 2.0 (+ (exp x) 2.0)) (exp (+ x x)))
0.0b	(pow (exp x) 3)
5.2b	(+ (* 2.0 (+ 2.0 (exp x))) (* (exp x) (+ (- (pow (exp x) 3) (pow 2.0 3)) (exp x))))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
12×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `associate-*r/`
8×	`add-log-exp`
7×	`pow1` `flip3-+` `add-cbrt-cube` `flip-+`
5×	`add-exp-log` `associate-r`
4×	`distribute-rgt-in` `associate-+l+` `pow-pow` `distribute-lft-in` `frac-add`
3×	`unpow-prod-down` `pow-unpow` `exp-prod` `cube-prod` `associate-l`
2×	`+-commutative` `associate-+r+` `sum-log` `distribute-lft-out`
1×	`cube-mult` `pow-to-exp` `unpow3` `pow-prod-down` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `rem-cube-cbrt` `unswap-sqr` `sqr-pow`

Counts

4 → 82

Calls

4 calls:

26.0ms	(* (exp x) (+ (- (pow (exp x) 3) (pow 2.0 3)) (exp x)))
11.0ms	(+ (* 2.0 (+ (exp x) 2.0)) (exp (+ x x)))
4.0ms	(pow (exp x) 3)
20.0ms	(+ (* 2.0 (+ 2.0 (exp x))) (* (exp x) (+ (- (pow (exp x) 3) (pow 2.0 3)) (exp x))))

series41.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(* (exp x) (+ (- (pow (exp x) 3) (pow 2.0 3)) (exp x)))
5.0ms	(+ (* 2.0 (+ (exp x) 2.0)) (exp (+ x x)))
5.0ms	(pow (exp x) 3)
20.0ms	(+ (* 2.0 (+ 2.0 (exp x))) (* (exp x) (+ (- (pow (exp x) 3) (pow 2.0 3)) (exp x))))

simplify837.0ms

Counts

94 → 94

Iterations

Useful iterations: 2 (176.0ms)

Iter	Nodes	Cost
0	194	1844
1	580	1712
2	2627	1589
done	5001	1589

prune204.0ms

Filtered

67 candidates to 94 candidates (-40.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	92	2	94
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	93	3	96

Merged error: 0.0b

Counts

96 → 3

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 2.0 (+ (exp x) 2.0)) (exp (+ x x)))
0.0b	(pow (exp x) 3)
3.9b	(log (exp (+ (* 2.0 2.0) (* (exp x) (+ 2.0 (+ (- (pow (exp x) 3) (pow 2.0 3)) (exp x)))))))
3.9b	(+ (* 2.0 2.0) (* (exp x) (+ 2.0 (+ (- (pow (exp x) 3) (pow 2.0 3)) (exp x)))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`add-log-exp`
6×	`pow1` `exp-prod`
5×	`add-cbrt-cube`
4×	`add-exp-log` `log-prod` `pow-pow` `log-pow`
3×	`unpow-prod-down` `pow-unpow` `cube-prod`
2×	`+-commutative` `distribute-rgt-in` `associate-+l+` `associate-+r+` `distribute-lft-in` `flip3-+` `sum-log` `flip-+`
1×	`cube-mult` `pow-to-exp` `unpow3` `rem-log-exp` `exp-sum` `pow-exp` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 68

Calls

4 calls:

15.0ms	(+ (* 2.0 (+ (exp x) 2.0)) (exp (+ x x)))
4.0ms	(pow (exp x) 3)
5.0ms	(log (exp (+ (* 2.0 2.0) (* (exp x) (+ 2.0 (+ (- (pow (exp x) 3) (pow 2.0 3)) (exp x)))))))
5.0ms	(+ (* 2.0 2.0) (* (exp x) (+ 2.0 (+ (- (pow (exp x) 3) (pow 2.0 3)) (exp x)))))

series40.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+ (* 2.0 (+ (exp x) 2.0)) (exp (+ x x)))
5.0ms	(pow (exp x) 3)
15.0ms	(log (exp (+ (* 2.0 2.0) (* (exp x) (+ 2.0 (+ (- (pow (exp x) 3) (pow 2.0 3)) (exp x)))))))
15.0ms	(+ (* 2.0 2.0) (* (exp x) (+ 2.0 (+ (- (pow (exp x) 3) (pow 2.0 3)) (exp x)))))

simplify501.0ms

Counts

80 → 80

Iterations

Useful iterations: 2 (113.0ms)

Iter	Nodes	Cost
0	152	1436
1	404	1331
2	1505	1184
done	5000	1184

prune195.0ms

Filtered

63 candidates to 80 candidates (-27.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	80	3	83

Merged error: 0.0b

Counts

83 → 3

regimes34.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	15
1	17	15
done	17	15

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.8s	5618×	body	1280	valid
228.0ms	8066×	body	80	valid
210.0ms	1260×	body	640	valid
66.0ms	622×	body	320	valid
22.0ms	328×	body	160	valid

Details

sample79.0ms

simplify2.1s

prune3.0ms

localize6.0ms

rewrite14.0ms

series10.0ms

simplify592.0ms

prune65.0ms

localize11.0ms

rewrite21.0ms

series30.0ms

simplify1.6s

prune146.0ms

localize23.0ms

rewrite63.0ms

series41.0ms

simplify837.0ms

prune204.0ms

localize23.0ms

rewrite31.0ms

series40.0ms

simplify501.0ms

prune195.0ms

regimes34.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.7s

Profiling