Details

sample19.0ms

Algorithm

intervals

Results

7.0ms

337×

body

valid

simplify2.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	4	5
1	6	5
done	6	5

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: 9.6b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

9.4b	(/ x (* y y))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 21

Calls

1 calls:

5.0ms

(/ x (* y y))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(/ x (* y y))

simplify3.8s

Counts

24 → 24

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	43	185
1	94	182
2	275	152
3	1009	152
4	3817	152
done	5000	152

prune37.0ms

Filtered

16 candidates to 24 candidates (-50.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	19	5	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	6	25

Merged error: 0.0b

Counts

25 → 6

localize7.0ms

Local error

Found 1 expressions with local error:

0.2b	(/ (/ x y) y)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
43×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`associate-/l*`
6×	`add-exp-log` `add-cbrt-cube`
5×	`div-inv`
3×	`cbrt-undiv` `div-exp` `associate-/r*`
1×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`

Counts

1 → 70

Calls

1 calls:

7.0ms

(/ (/ x y) y)

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(/ (/ x y) y)

simplify2.4s

Counts

73 → 73

Iterations

Useful iterations: 3 (763.0ms)

Iter	Nodes	Cost
0	140	862
1	311	813
2	746	757
3	2169	745
done	5000	745

prune83.0ms

Filtered

48 candidates to 73 candidates (-52.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	66	7	73
Fresh	2	2	4
Picked	0	1	1
Done	1	0	1
Total	69	10	79

Merged error: 0b

Counts

79 → 10

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (/ 1 y) (/ x y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
25×	`times-frac`
23×	`add-exp-log`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
13×	`associate-r` `associate-l` `add-cbrt-cube`
8×	`div-exp` `prod-exp`
6×	`unswap-sqr`
4×	`cbrt-undiv` `cbrt-unprod`
3×	`pow1`
2×	`rec-exp` `1-exp` `div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `add-log-exp`

Counts

1 → 56

Calls

1 calls:

14.0ms

(* (/ 1 y) (/ x y))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(* (/ 1 y) (/ x y))

simplify3.2s

Counts

59 → 59

Iterations

Useful iterations: 3 (2.1s)

Iter	Nodes	Cost
0	110	633
1	320	517
2	919	423
3	3694	415
done	5000	415

prune66.0ms

Filtered

34 candidates to 59 candidates (-73.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	59	10	69

Merged error: 0b

Counts

69 → 10

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b	(* y (/ y x))
0.5b	(/ 1 (* y (/ y x)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log`
17×	`add-sqr-sqrt`
16×	`add-cbrt-cube`
13×	`times-frac` `associate-r`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`div-exp`
8×	`prod-exp`
7×	`pow1`
5×	`cbrt-undiv`
4×	`cbrt-unprod`
3×	`rec-exp` `1-exp` `associate-l` `associate-/l*`
2×	`pow-flip` `associate-*r/` `pow-prod-down` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `clear-num` `associate-/r` `associate-/r/` `-commutative` `inv-pow`

Counts

2 → 65

Calls

2 calls:

7.0ms	(* y (/ y x))
7.0ms	(/ 1 (* y (/ y x)))

series7.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(* y (/ y x))
4.0ms	(/ 1 (* y (/ y x)))

simplify3.8s

Counts

71 → 71

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	104	610
1	254	542
2	665	460
3	2578	422
done	5000	422

prune51.0ms

Filtered

40 candidates to 71 candidates (-77.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	1	6	7
Picked	0	1	1
Done	1	1	2
Total	72	9	81

Merged error: 0b

Counts

81 → 9

regimes150.0ms

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	6	7
1	8	7
done	8	7

end0.0ms

sample518.0ms

Algorithm

intervals

Results

217.0ms

10627×

body

valid

Details

sample19.0ms

simplify2.0ms

prune2.0ms

localize3.0ms

rewrite6.0ms

series5.0ms

simplify3.8s

prune37.0ms

localize7.0ms

rewrite10.0ms

series5.0ms

simplify2.4s

prune83.0ms

localize5.0ms

rewrite16.0ms

series4.0ms

simplify3.2s

prune66.0ms

localize5.0ms

rewrite16.0ms

series7.0ms

simplify3.8s

prune51.0ms

regimes150.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample518.0ms

Profiling