Details

sample45.0ms

Algorithm

intervals

Results

9.0ms	290×	pre	80	false
7.0ms	256×	pre	80	true
5.0ms	256×	body	80	valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	10	7
2	12	7
done	12	7

prune2.0ms

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: 8.4b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

1.0b	(/ x0 (- 1.0 x1))
7.6b	(- (/ x0 (- 1.0 x1)) x0)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
16×	`times-frac`
12×	`add-cube-cbrt`
6×	`difference-of-squares`
5×	`associate-/r*` `distribute-lft-out--`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `div-inv`

Counts

2 → 52

Calls

2 calls:

5.0ms	(/ x0 (- 1.0 x1))
12.0ms	(- (/ x0 (- 1.0 x1)) x0)

series13.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(/ x0 (- 1.0 x1))
7.0ms	(- (/ x0 (- 1.0 x1)) x0)

simplify2.3s

Counts

58 → 58

Iterations

Useful iterations: 4 (1.6s)

Iter	Nodes	Cost
0	117	677
1	246	641
2	615	609
3	1510	593
4	4212	590
done	5000	590

prune70.0ms

Filtered

44 candidates to 58 candidates (-31.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	56	2	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	2	59

Merged error: 6.7b

Counts

59 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (- 1.0 x1) (- 1.0 x1))
0.5b	(/ (* x0 (- (/ x0 (* (- 1.0 x1) (- 1.0 x1))) x0)) (+ (/ x0 (- 1.0 x1)) x0))
1.0b	(/ x0 (- 1.0 x1))
6.1b	(- (/ x0 (* (- 1.0 x1) (- 1.0 x1))) x0)

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity`
42×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `times-frac`
13×	`add-exp-log` `add-cbrt-cube`
11×	`pow1` `distribute-lft-out--`
10×	`difference-of-squares`
9×	`flip3--` `associate-/r*` `flip--`
7×	`swap-sqr`
6×	`add-log-exp`
5×	`associate-r` `associate-l`
4×	`frac-times` `associate-r/` `associate-/r/` `associate-/l`
3×	`cbrt-undiv` `sub-neg` `div-exp`
2×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `associate-*l/` `prod-exp` `clear-num` `cbrt-unprod` `div-inv` `associate-/l/` `distribute-lft-out`
1×	`pow2` `flip3-+` `pow-plus` `diff-log` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up` `flip-+` `unswap-sqr`

Counts

4 → 124

Calls

4 calls:

10.0ms	(* (- 1.0 x1) (- 1.0 x1))
28.0ms	(/ (* x0 (- (/ x0 (* (- 1.0 x1) (- 1.0 x1))) x0)) (+ (/ x0 (- 1.0 x1)) x0))
6.0ms	(/ x0 (- 1.0 x1))
14.0ms	(- (/ x0 (* (- 1.0 x1) (- 1.0 x1))) x0)

series45.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (- 1.0 x1) (- 1.0 x1))
23.0ms	(/ (* x0 (- (/ x0 (* (- 1.0 x1) (- 1.0 x1))) x0)) (+ (/ x0 (- 1.0 x1)) x0))
5.0ms	(/ x0 (- 1.0 x1))
13.0ms	(- (/ x0 (* (- 1.0 x1) (- 1.0 x1))) x0)

simplify841.0ms

Counts

136 → 136

Iterations

Useful iterations: 2 (226.0ms)

Iter	Nodes	Cost
0	226	2158
1	557	2044
2	1912	1814
done	5001	1814

prune167.0ms

Filtered

90 candidates to 136 candidates (-51.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	134	2	136
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	136	2	138

Merged error: 5.3b

Counts

138 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ (* x0 (- (/ x0 (+ (* x1 (- x1 2.0)) 1.0)) x0)) (+ (/ x0 (- 1.0 x1)) x0))
0.5b	(* x1 (- x1 2.0))
1.0b	(/ x0 (- 1.0 x1))
6.1b	(- (/ x0 (+ (* x1 (- x1 2.0)) 1.0)) x0)

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

24.0ms	(/ (* x0 (- (/ x0 (+ (* x1 (- x1 2.0)) 1.0)) x0)) (+ (/ x0 (- 1.0 x1)) x0))
7.0ms	(* x1 (- x1 2.0))
5.0ms	(/ x0 (- 1.0 x1))
16.0ms	(- (/ x0 (+ (* x1 (- x1 2.0)) 1.0)) x0)

series58.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(/ (* x0 (- (/ x0 (+ (* x1 (- x1 2.0)) 1.0)) x0)) (+ (/ x0 (- 1.0 x1)) x0))
4.0ms	(* x1 (- x1 2.0))
5.0ms	(/ x0 (- 1.0 x1))
18.0ms	(- (/ x0 (+ (* x1 (- x1 2.0)) 1.0)) x0)

simplify746.0ms

Counts

117 → 117

Iterations

Useful iterations: done (742.0ms)

Iter	Nodes	Cost
0	220	1817
1	528	1759
2	1544	1571
done	5001	1537

prune143.0ms

Filtered

83 candidates to 117 candidates (-41.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	115	2	117
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	117	2	119

Merged error: 4.4b

Counts

119 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* x1 (- x1 2.0))
1.0b	(/ x0 (- 1.0 x1))
5.0b	(log (exp (- (/ x0 (+ (* x1 (- x1 2.0)) 1.0)) x0)))
6.1b	(- (/ x0 (+ (* x1 (- x1 2.0)) 1.0)) x0)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
32×	`*-un-lft-identity`
18×	`add-cube-cbrt`
17×	`times-frac`
9×	`difference-of-squares`
8×	`add-exp-log` `add-cbrt-cube`
7×	`pow1` `log-pow` `distribute-lft-out--`
6×	`exp-prod` `add-log-exp`
5×	`log-prod` `associate-r` `associate-/r*`
4×	`sub-neg`
3×	`flip3--` `associate-l` `flip--` `associate-/l*`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/` `exp-sum` `associate-/r/`
1×	`cbrt-undiv` `log-div` `frac-2neg` `exp-diff` `diff-log` `div-exp` `rem-log-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 99

Calls

4 calls:

7.0ms	(* x1 (- x1 2.0))
5.0ms	(/ x0 (- 1.0 x1))
14.0ms	(log (exp (- (/ x0 (+ (* x1 (- x1 2.0)) 1.0)) x0)))
16.0ms	(- (/ x0 (+ (* x1 (- x1 2.0)) 1.0)) x0)

series45.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* x1 (- x1 2.0))
5.0ms	(/ x0 (- 1.0 x1))
17.0ms	(log (exp (- (/ x0 (+ (* x1 (- x1 2.0)) 1.0)) x0)))
18.0ms	(- (/ x0 (+ (* x1 (- x1 2.0)) 1.0)) x0)

simplify1.3s

Counts

111 → 111

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	198	1399
1	399	1319
2	957	1215
3	2513	1189
done	5000	1188

prune164.0ms

Filtered

79 candidates to 111 candidates (-40.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	109	2	111
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	111	2	113

Merged error: 3.3b

Counts

113 → 2

regimes59.0ms

Accuracy

100% (0.0b remaining)

Error of 3.3b against oracle of 3.3b and baseline of 4.4b

bsearch12.0ms

Steps

Iters	Range		Point
7	0.000209	0.0186	0.00021208908081054686

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	70
1	40	70
done	40	70

end0.0ms

sample1.1s

Algorithm

intervals

Results

210.0ms	8000×	pre	80	true
210.0ms	7999×	pre	80	false
176.0ms	8000×	body	80	valid

Details

sample45.0ms

simplify4.0ms

prune2.0ms

localize5.0ms

rewrite19.0ms

series13.0ms

simplify2.3s

prune70.0ms

localize10.0ms

rewrite61.0ms

series45.0ms

simplify841.0ms

prune167.0ms

localize12.0ms

rewrite55.0ms

series58.0ms

simplify746.0ms

prune143.0ms

localize16.0ms

rewrite45.0ms

series45.0ms

simplify1.3s

prune164.0ms

regimes59.0ms

bsearch12.0ms

simplify3.0ms

end0.0ms

sample1.1s

Profiling