Details

sample326.0ms

Algorithm

intervals

Results

100.0ms	62×	body	5120	valid
41.0ms	380×	body	80	nan
35.0ms	55×	body	2560	valid
27.0ms	212×	body	80	valid
22.0ms	14×	body	640	valid
21.0ms	23×	body	10240	exit
17.0ms	32×	body	1280	valid
1.0ms	4×	body	160	valid
1.0ms	4×	body	320	valid

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5207
3	2972
2	280
1	59
0	21

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 53.3b

localize82.0ms

Local error

Found 4 expressions with local error:

14.3b	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
14.3b	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
16.2b	(sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M)))
25.9b	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))

rewrite222.0ms

Algorithm

rewrite-expression-head

Rules

134×	`add-cbrt-cube` `add-exp-log`
54×	`prod-exp` `cbrt-unprod`
48×	`cbrt-undiv` `div-exp`
16×	`sqrt-div`
10×	`frac-times` `associate-*r/`
8×	`frac-add`
7×	`pow1` `flip3-+` `flip-+`
6×	`-un-lft-identity` `flip3--` `associate-l/` `flip--` `add-log-exp` `associate-/l/`
4×	`add-sqr-sqrt` `add-cube-cbrt`
2×	`clear-num` `associate-/r` `frac-2neg` `sqrt-pow1` `times-frac` `div-inv` `associate-/l`
1×	`+-commutative` `sum-log` `pow1/2` `pow-prod-down` `sqrt-prod` `distribute-lft-out`

Counts

4 → 127

Calls

4 calls:

43.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
42.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
47.0ms	(sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M)))
83.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))

series2.5s

Counts

4 → 12

Calls

4 calls:

112.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
122.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
799.0ms	(sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M)))
1.5s	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))

simplify3.0s

Counts

139 → 139

Iterations

Iter	Nodes
done	5025
2	3587
1	676
0	221

prune1.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 48.9b

localize226.0ms

Local error

Found 4 expressions with local error:

16.2b	(sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M)))
25.9b	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
25.9b	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
25.9b	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))

rewrite234.0ms

Algorithm

rewrite-expression-head

Rules

32×	`sqrt-div`
24×	`frac-add`
16×	`frac-times`
15×	`flip3-+` `flip-+`
12×	`flip3--` `flip--`
10×	`*-un-lft-identity` `add-log-exp`
8×	`associate-l/` `associate-r/`
7×	`pow1`
4×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
3×	`+-commutative` `sum-log` `distribute-lft-out`
2×	`sqrt-pow1`
1×	`pow1/2` `pow-prod-down` `sqrt-prod`

Counts

4 → 79

Calls

4 calls:

36.0ms	(sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M)))
57.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
62.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
75.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))

series3.8s

Counts

4 → 12

Calls

4 calls:

817.0ms	(sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M)))
965.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
1.1s	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
943.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))

simplify2.3s

Counts

91 → 91

Iterations

Iter	Nodes
done	5001
2	1536
1	370
0	131

prune1.3s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 48.9b

localize171.0ms

Local error

Found 4 expressions with local error:

16.2b	(sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M)))
16.2b	(sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M)))
25.9b	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
25.9b	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))

rewrite251.0ms

Algorithm

rewrite-expression-head

Rules

32×	`sqrt-div`
16×	`frac-times` `frac-add`
14×	`flip3-+` `flip-+`
12×	`flip3--` `flip--`
10×	`pow1`
8×	`-un-lft-identity` `associate-l/` `associate-*r/` `add-log-exp`
4×	`add-sqr-sqrt` `sqrt-pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
2×	`+-commutative` `sum-log` `pow1/2` `pow-prod-down` `sqrt-prod` `distribute-lft-out`

Counts

4 → 78

Calls

4 calls:

70.0ms	(sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M)))
45.0ms	(sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M)))
69.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
62.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))

series3.7s

Counts

4 → 12

Calls

4 calls:

842.0ms	(sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M)))
823.0ms	(sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M)))
1.1s	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
990.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))

simplify2.5s

Counts

90 → 90

Iterations

Iter	Nodes
done	5001
2	1536
1	370
0	131

prune1.3s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 48.9b

localize98.0ms

Local error

Found 4 expressions with local error:

14.3b	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
14.3b	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
16.2b	(sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* c0 (/ d D)) (/ (* w h) (/ d D))) M)))
28.1b	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* c0 (/ d D)) (/ (* w h) (/ d D))) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))

rewrite238.0ms

Algorithm

rewrite-expression-head

Rules

134×	`add-cbrt-cube` `add-exp-log`
54×	`prod-exp` `cbrt-unprod`
48×	`cbrt-undiv` `div-exp`
16×	`sqrt-div`
10×	`frac-times` `associate-*r/`
8×	`frac-add`
7×	`pow1` `flip3-+` `flip-+`
6×	`-un-lft-identity` `flip3--` `associate-l/` `flip--` `add-log-exp` `associate-/l/`
4×	`add-sqr-sqrt` `add-cube-cbrt`
2×	`clear-num` `associate-/r` `frac-2neg` `sqrt-pow1` `times-frac` `div-inv` `associate-/l`
1×	`+-commutative` `sum-log` `pow1/2` `pow-prod-down` `sqrt-prod` `distribute-lft-out`

Counts

4 → 127

Calls

4 calls:

45.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
35.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
67.0ms	(sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* c0 (/ d D)) (/ (* w h) (/ d D))) M)))
84.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* c0 (/ d D)) (/ (* w h) (/ d D))) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))

series2.0s

Counts

4 → 12

Calls

4 calls:

108.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
135.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
793.0ms	(sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* c0 (/ d D)) (/ (* w h) (/ d D))) M)))
1.0s	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* c0 (/ d D)) (/ (* w h) (/ d D))) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))

simplify2.5s

Counts

139 → 139

Iterations

Iter	Nodes
done	5001
2	3773
1	689
0	224

prune1.1s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 48.9b

regimes1.9s

Accuracy

-13.1% (4.6b remaining)

Error of 53.3b against oracle of 48.7b and baseline of 52.8b

bsearch5.0ms

simplify28.0ms

Iterations

Iter	Nodes
done	61
1	61
0	47

end0.0ms

sample14.1s

Algorithm

intervals

Results

3.1s	2342×	body	5120	valid
2.9s	1660×	body	2560	valid
2.4s	13230×	body	80	nan
2.0s	6747×	body	80	valid
1.1s	908×	body	1280	valid
677.0ms	540×	body	10240	exit
220.0ms	450×	body	640	valid
113.0ms	211×	body	320	valid
74.0ms	127×	body	160	valid