Details

sample519.0ms

Algorithm

intervals

Results

117.0ms	452×	body	80	nan
104.0ms	72×	body	5120	valid
104.0ms	232×	body	80	valid
72.0ms	60×	body	2560	valid
29.0ms	19×	body	10240	exit
28.0ms	28×	body	1280	valid
13.0ms	16×	body	640	valid
2.0ms	4×	body	320	valid
0.0ms	1×	body	160	valid

simplify799.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	2972
2	280
1	59
0	21

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 52.2b

localize72.0ms

Local error

Found 4 expressions with local error:

14.7b	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
14.7b	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
14.7b	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
27.7b	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

199×	`add-cbrt-cube` `add-exp-log`
81×	`prod-exp` `cbrt-unprod`
72×	`cbrt-undiv` `div-exp`
11×	`associate-*r/`
9×	`associate-/l/`
8×	`sqrt-div` `frac-add`
7×	`frac-times`
6×	`*-un-lft-identity` `add-log-exp`
5×	`associate-*l/`
4×	`add-sqr-sqrt` `pow1` `flip3-+` `add-cube-cbrt` `flip-+` `insert-posit16`
3×	`clear-num` `associate-/r` `frac-2neg` `times-frac` `flip3--` `div-inv` `flip--` `associate-/l`
1×	`+-commutative` `sum-log` `distribute-lft-out`

Counts

4 → 156

Calls

4 calls:

53.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
37.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
35.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
54.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))

series1.2s

Counts

4 → 12

Calls

4 calls:

92.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
96.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
107.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
945.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))

simplify1.4s

Counts

168 → 168

Iterations

Iter	Nodes
2	3546
1	663
0	215

prune3.0s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 50.6b

localize118.0ms

Local error

Found 4 expressions with local error:

14.7b	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
14.7b	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
27.7b	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
27.7b	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))

rewrite201.0ms

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` `frac-add`
10×	`frac-times` `associate-*r/`
8×	`*-un-lft-identity` `flip3-+` `flip-+` `add-log-exp`
6×	`flip3--` `associate-*l/` `flip--` `associate-/l/`
4×	`add-sqr-sqrt` `pow1` `add-cube-cbrt` `insert-posit16`
2×	`+-commutative` `clear-num` `associate-/r` `sum-log` `frac-2neg` `times-frac` `div-inv` `distribute-lft-out` `associate-/l`

Counts

4 → 132

Calls

4 calls:

55.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
32.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
52.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
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)))

series2.0s

Counts

4 → 12

Calls

4 calls:

83.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
112.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
921.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
853.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))

simplify1.5s

Counts

144 → 144

Iterations

Iter	Nodes
2	3546
1	663
0	215

prune3.4s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 50.6b

localize97.0ms

Local error

Found 4 expressions with local error:

14.7b	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
27.7b	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
27.7b	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
27.7b	(+ (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

69×	`add-cbrt-cube` `add-exp-log`
27×	`prod-exp` `cbrt-unprod`
24×	`cbrt-undiv` `sqrt-div` `div-exp` `frac-add`
13×	`frac-times`
12×	`flip3-+` `flip-+`
10×	`*-un-lft-identity` `add-log-exp`
9×	`flip3--` `associate-*r/` `flip--`
7×	`associate-*l/`
4×	`add-sqr-sqrt` `pow1` `add-cube-cbrt` `insert-posit16`
3×	`+-commutative` `sum-log` `distribute-lft-out` `associate-/l/`
1×	`clear-num` `associate-/r` `frac-2neg` `times-frac` `div-inv` `associate-/l`

Counts

4 → 108

Calls

4 calls:

30.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
55.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
88.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
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)))

series3.0s

Counts

4 → 12

Calls

4 calls:

103.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
863.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
1.2s	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
830.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))

simplify1.3s

Counts

120 → 120

Iterations

Iter	Nodes
2	3546
1	663
0	215

prune2.6s

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 50.6b

localize88.0ms

Local error

Found 4 expressions with local error:

13.8b	(sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* c0 (/ d D)) (/ (* w h) (/ d D))) M)))
14.7b	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
14.7b	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
30.5b	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* c0 (/ d D)) (/ (* w h) (/ d D))) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))

rewrite169.0ms

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` `insert-posit16`
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 → 131

Calls

4 calls:

37.0ms	(sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* c0 (/ d D)) (/ (* w h) (/ d D))) M)))
49.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
38.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
41.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* c0 (/ d D)) (/ (* w h) (/ d D))) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))

series1.6s

Counts

4 → 12

Calls

4 calls:

660.0ms	(sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* c0 (/ d D)) (/ (* w h) (/ d D))) M)))
71.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
103.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
758.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* c0 (/ d D)) (/ (* w h) (/ d D))) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))

simplify1.2s

Counts

143 → 143

Iterations

Iter	Nodes
2	3772
1	703
0	227

prune2.3s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 49.3b

regimes1.9s

Accuracy

16.5% (3.1b remaining)

Error of 51.8b against oracle of 48.7b and baseline of 52.4b

bsearch3.0ms

simplify16.0ms

Iterations

Iter	Nodes
2	45
1	45
0	35

end0.0ms

sample18.7s

Algorithm

intervals

Results

4.6s	2244×	body	5120	valid
4.0s	12998×	body	80	nan
3.5s	1742×	body	2560	valid
2.0s	6928×	body	80	valid
1.2s	898×	body	1280	valid
1.2s	565×	body	10240	exit
621.0ms	234×	body	320	valid
429.0ms	451×	body	640	valid
78.0ms	90×	body	160	valid