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

simplify2.8s

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	240	11
6	330	11
7	375	11
8	433	11
9	524	11
10	650	11
11	729	11
12	819	11
13	959	11
14	1305	11
15	2302	11
16	4336	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))

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

series30.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(* (- 1.0 x) y)
18.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
7.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

simplify477.0ms

Counts

72 → 72

Iterations

Useful iterations: done (475.0ms)

Iter	Nodes	Cost
0	128	885
1	344	832
2	1367	756
done	5001	744

prune119.0ms

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))))

rewrite24.0ms

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)))
5.0ms	(/ 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))))

simplify518.0ms

Counts

97 → 97

Iterations

Useful iterations: done (516.0ms)

Iter	Nodes	Cost
0	157	1229
1	409	1160
2	1468	1068
done	5000	1057

prune125.0ms

Filtered

72 candidates to 97 candidates (-34.7%)

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)))

rewrite34.0ms

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))))
14.0ms	(* (* (- 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))
12.0ms	(- 1.0 (* (* (- 1.0 x) y) (/ 1 (+ y 1.0))))
8.0ms	(* (* (- 1.0 x) y) (/ 1 (+ y 1.0)))

simplify708.0ms

Counts

130 → 130

Iterations

Useful iterations: done (705.0ms)

Iter	Nodes	Cost
0	186	1635
1	518	1411
2	2209	1220
done	5001	1189

prune133.0ms

Filtered

78 candidates to 130 candidates (-66.7%)

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:

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

series12.0ms

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)))

simplify582.0ms

Counts

37 → 37

Iterations

Useful iterations: 3 (152.0ms)

Iter	Nodes	Cost
0	64	554
1	178	513
2	501	486
3	1969	478
done	5000	478

prune45.0ms

Filtered

27 candidates to 37 candidates (-37.0%)

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

regimes300.0ms

Accuracy

100% (0.0b remaining)

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

bsearch45.0ms

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

sample653.0ms

Algorithm

intervals

Results

200.0ms	6095×	body	80	valid
90.0ms	709×	body	640	valid
62.0ms	391×	body	1280	valid
48.0ms	499×	body	320	valid
19.0ms	306×	body	160	valid

Details

sample24.0ms

simplify2.8s

prune3.0ms

localize7.0ms

rewrite26.0ms

series30.0ms

simplify477.0ms

prune119.0ms

localize7.0ms

rewrite24.0ms

series23.0ms

simplify518.0ms

prune125.0ms

localize11.0ms

rewrite34.0ms

series28.0ms

simplify708.0ms

prune133.0ms

localize7.0ms

rewrite19.0ms

series12.0ms

simplify582.0ms

prune45.0ms

regimes300.0ms

bsearch45.0ms

simplify2.0ms

end0.0ms

sample653.0ms

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