Details

sample37.0ms

Algorithm

intervals

Results

9.0ms	34×	body	1280	valid
7.0ms	156×	body	80	valid
6.0ms	35×	body	640	valid
2.0ms	18×	body	320	valid
1.0ms	13×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	6
1	8	6
2	11	6
3	15	6
4	16	6
done	16	6

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: 0.2b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(sin y)
0.1b	(* x (/ (sin y) y))
0.2b	(/ (sin y) y)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
3×	`associate-l` `associate-/r` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

3 → 66

Calls

3 calls:

2.0ms	(sin y)
7.0ms	(* x (/ (sin y) y))
4.0ms	(/ (sin y) y)

series19.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(sin y)
12.0ms	(* x (/ (sin y) y))
5.0ms	(/ (sin y) y)

simplify559.0ms

Counts

75 → 75

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	107	618
1	241	588
2	750	536
3	2440	536
done	5000	536

prune96.0ms

Filtered

58 candidates to 75 candidates (-29.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	68	7	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	7	76

Merged error: 0b

Counts

76 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sin y)
0.1b	(* x (* (sin y) (/ 1 y)))
0.3b	(* (sin y) (/ 1 y))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
19×	`add-sqr-sqrt`
17×	`add-cbrt-cube`
14×	`associate-r`
13×	`*-un-lft-identity` `prod-exp`
12×	`add-cube-cbrt`
11×	`times-frac`
10×	`pow1`
7×	`cbrt-unprod`
6×	`associate-l`
4×	`associate-*r/` `div-exp` `pow-prod-down`
3×	`add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `un-div-inv` `*-commutative`
1×	`div-inv`

Counts

3 → 67

Calls

3 calls:

2.0ms	(sin y)
8.0ms	(* x (* (sin y) (/ 1 y)))
8.0ms	(* (sin y) (/ 1 y))

series19.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(sin y)
12.0ms	(* x (* (sin y) (/ 1 y)))
5.0ms	(* (sin y) (/ 1 y))

simplify795.0ms

Counts

76 → 76

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	123	700
1	310	566
2	1021	448
3	3569	448
done	5000	448

prune77.0ms

Filtered

46 candidates to 76 candidates (-65.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	76	7	83

Merged error: 0b

Counts

83 → 7

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sin y)
0.1b	(/ y (sin y))
0.1b	(* x (/ 1 (/ y (sin y))))
0.3b	(/ 1 (/ y (sin y)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
104×	`add-sqr-sqrt`
92×	`*-un-lft-identity`
90×	`add-cube-cbrt`
44×	`associate-r`
36×	`add-exp-log`
20×	`add-cbrt-cube`
16×	`associate-/r*`
15×	`div-exp`
10×	`div-inv`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/r/`
1×	`pow-flip` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 183

Calls

4 calls:

2.0ms	(sin y)
4.0ms	(/ y (sin y))
17.0ms	(* x (/ 1 (/ y (sin y))))
7.0ms	(/ 1 (/ y (sin y)))

series24.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(sin y)
6.0ms	(/ y (sin y))
11.0ms	(* x (/ 1 (/ y (sin y))))
5.0ms	(/ 1 (/ y (sin y)))

simplify440.0ms

Counts

195 → 195

Iterations

Useful iterations: 2 (175.0ms)

Iter	Nodes	Cost
0	247	2240
1	606	1889
2	1996	1536
done	5000	1536

prune145.0ms

Filtered

121 candidates to 195 candidates (-61.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	193	2	195
Fresh	4	1	5
Picked	0	1	1
Done	0	1	1
Total	197	5	202

Merged error: 0b

Counts

202 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(sin y)
0.1b	(/ y (sin y))
0.3b	(/ x (/ y (sin y)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
53×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`associate-/r/`

Counts

3 → 104

Calls

3 calls:

2.0ms	(sin y)
4.0ms	(/ y (sin y))
7.0ms	(/ x (/ y (sin y)))

series20.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(sin y)
6.0ms	(/ y (sin y))
12.0ms	(/ x (/ y (sin y)))

simplify385.0ms

Counts

113 → 113

Iterations

Useful iterations: 2 (111.0ms)

Iter	Nodes	Cost
0	181	1293
1	398	1213
2	1431	1151
done	5000	1151

prune90.0ms

Filtered

90 candidates to 113 candidates (-25.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	113	5	118

Merged error: 0b

Counts

118 → 5

regimes83.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	11	8
done	11	8

end0.0ms

sample1.1s

Algorithm

intervals

Results

265.0ms	977×	body	1280	valid
239.0ms	5243×	body	80	valid
178.0ms	960×	body	640	valid
76.0ms	556×	body	320	valid
25.0ms	264×	body	160	valid

Details

sample37.0ms

simplify7.0ms

prune3.0ms

localize6.0ms

rewrite15.0ms

series19.0ms

simplify559.0ms

prune96.0ms

localize7.0ms

rewrite23.0ms

series19.0ms

simplify795.0ms

prune77.0ms

localize7.0ms

rewrite42.0ms

series24.0ms

simplify440.0ms

prune145.0ms

localize6.0ms

rewrite17.0ms

series20.0ms

simplify385.0ms

prune90.0ms

regimes83.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

Profiling