Details

sample25.0ms

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

simplify1.2s

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	134	11
5	248	11
6	356	11
7	482	11
8	567	11
9	722	11
10	973	11
11	1126	11
12	1325	11
13	1568	11
14	1779	11
15	2394	11
16	3126	11
done	5000	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))

rewrite33.0ms

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

series25.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(* (- 1.0 x) y)
13.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
7.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

simplify427.0ms

Counts

72 → 72

Iterations

Useful iterations: 2 (103.0ms)

Iter	Nodes	Cost
0	128	885
1	344	828
2	1277	746
done	5001	746

prune118.0ms

Filtered

51 candidates to 72 candidates (-41.2%)

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))))

series23.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(* (- 1.0 x) (/ y (+ y 1.0)))
3.0ms	(/ y (+ y 1.0))
13.0ms	(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

simplify471.0ms

Counts

97 → 97

Iterations

Useful iterations: 2 (119.0ms)

Iter	Nodes	Cost
0	157	1229
1	409	1148
2	1540	1056
done	5000	1056

prune118.0ms

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

localize11.0ms

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)))

rewrite35.0ms

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:

7.0ms	(* (- 1.0 x) y)
6.0ms	(/ 1 (+ y 1.0))
3.0ms	(- 1.0 (* (* (- 1.0 x) y) (/ 1 (+ y 1.0))))
15.0ms	(* (* (- 1.0 x) y) (/ 1 (+ y 1.0)))

series28.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* (- 1.0 x) y)
2.0ms	(/ 1 (+ y 1.0))
13.0ms	(- 1.0 (* (* (- 1.0 x) y) (/ 1 (+ y 1.0))))
7.0ms	(* (* (- 1.0 x) y) (/ 1 (+ y 1.0)))

simplify555.0ms

Counts

130 → 130

Iterations

Useful iterations: 2 (171.0ms)

Iter	Nodes	Cost
0	186	1635
1	518	1385
2	2089	1189
done	5001	1189

prune131.0ms

Filtered

74 candidates to 130 candidates (-75.7%)

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

rewrite19.0ms

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-+l+` `diff-log` `associate-*r/` `sum-log` `add-cbrt-cube`
1×	`+-commutative` `associate-+l-` `flip3--` `flip3-+` `frac-sub` `flip--` `flip-+` `div-inv` `distribute-lft-out` `distribute-lft-out--` `sub-div`

Counts

2 → 31

Calls

2 calls:

11.0ms	(+ (- (/ 1.0 y) (* 1.0 (/ x y))) x)
7.0ms	(- (/ 1.0 y) (* 1.0 (/ x y)))

series13.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify606.0ms

Counts

37 → 37

Iterations

Useful iterations: 3 (173.0ms)

Iter	Nodes	Cost
0	64	554
1	178	512
2	501	486
3	2202	478
done	5000	478

prune45.0ms

Filtered

25 candidates to 37 candidates (-48.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	36	1	37
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	36	5	41

Merged error: 0.0b

Counts

41 → 5

regimes304.0ms

Accuracy

100% (0.0b remaining)

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

bsearch40.0ms

Steps

Iters	Range		Point
11	0.0007984694048976103	2.3885905512890262e+30	359391058.6787466
10	-6366268205916247.0	-174458.2165831976	-361235972.5954456

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	19	41
1	26	31
done	26	31

end0.0ms

sample662.0ms

Algorithm

intervals

Results

209.0ms	6095×	body	80	valid
88.0ms	709×	body	640	valid
61.0ms	391×	body	1280	valid
46.0ms	499×	body	320	valid
19.0ms	306×	body	160	valid

Details

sample25.0ms

simplify1.2s

prune3.0ms

localize7.0ms

rewrite33.0ms

series25.0ms

simplify427.0ms

prune118.0ms

localize7.0ms

rewrite25.0ms

series23.0ms

simplify471.0ms

prune118.0ms

localize11.0ms

rewrite35.0ms

series28.0ms

simplify555.0ms

prune131.0ms

localize7.0ms

rewrite19.0ms

series13.0ms

simplify606.0ms

prune45.0ms

regimes304.0ms

bsearch40.0ms

simplify2.0ms

end0.0ms

sample662.0ms

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