Details

sample24.0ms

Algorithm

intervals

Results

6.0ms	184×	body	80	valid
4.0ms	30×	body	640	valid
2.0ms	16×	body	1280	valid
2.0ms	20×	body	320	valid
0.0ms	6×	body	160	valid

simplify3.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	11
1	16	11
2	35	11
3	70	11
4	130	11
5	213	11
6	256	11
7	272	11
8	299	11
9	368	11
10	420	11
11	426	11
12	441	11
13	477	11
14	567	11
15	799	11
16	1078	11
17	1516	11
18	1932	11
19	1967	11
done	1967	11

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: 27.1b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- 1.0 x) y)
2.4b	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
9.1b	(/ (* (- 1.0 x) y) (+ y 1.0))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `associate-l` `add-log-exp`
4×	`times-frac` `associate-l/` `associate-/r`
3×	`flip3--` `associate-r` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `frac-2neg` `flip3-+` `diff-log` `pow-prod-down` `clear-num` `-commutative` `flip-+` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

7.0ms	(* (- 1.0 x) y)
7.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
9.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

series29.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(* (- 1.0 x) y)
12.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
12.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

simplify931.0ms

Counts

72 → 72

Iterations

Useful iterations: done (929.0ms)

Iter	Nodes	Cost
0	128	885
1	337	828
2	1225	746
done	5001	744

prune120.0ms

Filtered

53 candidates to 72 candidates (-35.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	68	4	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	4	73

Merged error: 0.0b

Counts

73 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- 1.0 x) (/ y (+ y 1.0)))
0.0b	(/ y (+ y 1.0))
2.4b	(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
28×	`add-sqr-sqrt`
25×	`times-frac`
21×	`add-cube-cbrt`
18×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out`
5×	`pow1` `associate-l` `add-log-exp`
4×	`associate-/r*` `associate-/r/`
3×	`flip3--` `flip--` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `flip3-+` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
1×	`sub-neg` `frac-2neg` `diff-log` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 88

Calls

3 calls:

13.0ms	(* (- 1.0 x) (/ y (+ y 1.0)))
6.0ms	(/ y (+ y 1.0))
3.0ms	(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

series25.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(* (- 1.0 x) (/ y (+ y 1.0)))
6.0ms	(/ y (+ y 1.0))
12.0ms	(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

simplify960.0ms

Counts

97 → 97

Iterations

Useful iterations: done (957.0ms)

Iter	Nodes	Cost
0	157	1229
1	401	1148
2	1383	1056
done	5000	1054

prune120.0ms

Filtered

70 candidates to 97 candidates (-38.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	97	4	101

Merged error: 0.0b

Counts

101 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 1.0 x) y)
0.0b	(/ 1 (+ y 1.0))
5.1b	(- 1.0 (* (* (- 1.0 x) y) (/ 1 (+ y 1.0))))
9.2b	(* (* (- 1.0 x) y) (/ 1 (+ y 1.0)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

39×	`*-un-lft-identity`
32×	`add-exp-log`
27×	`add-sqr-sqrt`
24×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
20×	`add-cbrt-cube`
13×	`prod-exp`
12×	`pow1`
8×	`associate-*l/`
7×	`cbrt-unprod` `distribute-lft-out`
6×	`div-exp` `associate-l` `add-log-exp`
4×	`flip3--` `pow-prod-down` `associate-/r*` `associate-/r/` `flip--`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*`
2×	`frac-times` `flip3-+` `*-commutative` `flip-+` `div-inv`
1×	`sub-neg` `pow-flip` `frac-2neg` `diff-log` `associate-*r/` `clear-num` `un-div-inv` `distribute-lft-out--` `inv-pow` `difference-of-squares` `unswap-sqr`

Counts

4 → 118

Calls

4 calls:

10.0ms	(* (- 1.0 x) y)
6.0ms	(/ 1 (+ y 1.0))
3.0ms	(- 1.0 (* (* (- 1.0 x) y) (/ 1 (+ y 1.0))))
14.0ms	(* (* (- 1.0 x) y) (/ 1 (+ y 1.0)))

series27.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* (- 1.0 x) y)
2.0ms	(/ 1 (+ y 1.0))
12.0ms	(- 1.0 (* (* (- 1.0 x) y) (/ 1 (+ y 1.0))))
7.0ms	(* (* (- 1.0 x) y) (/ 1 (+ y 1.0)))

simplify1.5s

Counts

130 → 130

Iterations

Useful iterations: 2 (469.0ms)

Iter	Nodes	Cost
0	186	1635
1	509	1349
2	1717	1189
done	5001	1189

prune134.0ms

Filtered

81 candidates to 130 candidates (-60.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	130	4	134

Merged error: 0.0b

Counts

134 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ 1.0 y) (- x (* 1.0 (/ x y))))
0.0b	(- x (* 1.0 (/ x y)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 30

Calls

2 calls:

11.0ms	(+ (/ 1.0 y) (- x (* 1.0 (/ x y))))
3.0ms	(- x (* 1.0 (/ x y)))

series11.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+ (/ 1.0 y) (- x (* 1.0 (/ x y))))
5.0ms	(- x (* 1.0 (/ x y)))

simplify1.2s

Counts

36 → 36

Iterations

Useful iterations: 3 (417.0ms)

Iter	Nodes	Cost
0	63	574
1	197	530
2	554	502
3	2215	494
done	5000	494

prune38.0ms

Filtered

24 candidates to 36 candidates (-50.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	35	5	40

Merged error: 0.0b

Counts

40 → 5

regimes301.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.2b against oracle of 0.2b and baseline of 14.4b

bsearch39.0ms

Steps

Iters	Range		Point
11	0.0007984694048976103	2.3885905512890262e+30	271901284.82506585
10	-6366268205916247.0	-174458.2165831976	-33356391.25664778

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	21	43
1	31	33
done	31	33

end0.0ms

sample650.0ms

Algorithm

intervals

Results

206.0ms	6095×	body	80	valid
89.0ms	709×	body	640	valid
63.0ms	391×	body	1280	valid
49.0ms	499×	body	320	valid
19.0ms	306×	body	160	valid

Details

sample24.0ms

simplify3.5s

prune3.0ms

localize7.0ms

rewrite26.0ms

series29.0ms

simplify931.0ms

prune120.0ms

localize7.0ms

rewrite25.0ms

series25.0ms

simplify960.0ms

prune120.0ms

localize9.0ms

rewrite37.0ms

series27.0ms

simplify1.5s

prune134.0ms

localize7.0ms

rewrite15.0ms

series11.0ms

simplify1.2s

prune38.0ms

regimes301.0ms

bsearch39.0ms

simplify2.0ms

end0.0ms

sample650.0ms

Profiling