Details

sample1.0s

Algorithm

intervals

Results

552.0ms	82×	body	5120	valid
103.0ms	413×	body	80	nan
88.0ms	234×	body	80	valid
78.0ms	53×	body	2560	valid
69.0ms	25×	body	1280	valid
44.0ms	23×	body	10240	exit
14.0ms	14×	body	640	valid
3.0ms	4×	body	320	valid
2.0ms	3×	body	160	valid

simplify847.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	2972
2	280
1	59
0	21

prune37.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 51.6b

localize44.0ms

Local error

Found 4 expressions with local error:

12.5b	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
12.5b	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
12.5b	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
29.0b	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))

rewrite154.0ms

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:

38.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
30.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
28.0ms	(/ (* (* 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)))

series1.0s

Counts

4 → 12

Calls

4 calls:

87.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
81.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
86.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
748.0ms	(+ (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

168 → 168

Iterations

Iter	Nodes
2	3546
1	663
0	215

prune3.3s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 49.9b

localize96.0ms

Local error

Found 4 expressions with local error:

12.5b	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
29.0b	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
29.0b	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
29.0b	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))

rewrite212.0ms

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:

27.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
42.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
71.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
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)))

series2.8s

Counts

4 → 12

Calls

4 calls:

71.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
956.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
972.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
817.0ms	(+ (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

120 → 120

Iterations

Iter	Nodes
2	3546
1	663
0	215

prune2.9s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 49.9b

localize108.0ms

Local error

Found 4 expressions with local error:

12.5b	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
12.5b	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
12.5b	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
29.0b	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))

rewrite190.0ms

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:

43.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
28.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
39.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
76.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))

series1.1s

Counts

4 → 12

Calls

4 calls:

92.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
79.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
86.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
866.0ms	(+ (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

prune3.3s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 49.9b

localize103.0ms

Local error

Found 4 expressions with local error:

11.2b	(sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (* (/ (* c0 (/ d D)) w) (/ (/ d D) h)) M)))
12.5b	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
12.5b	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
31.2b	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (* (/ (* c0 (/ d D)) w) (/ (/ d D) h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))

rewrite257.0ms

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:

63.0ms	(sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (* (/ (* c0 (/ d D)) w) (/ (/ d D) h)) M)))
54.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
54.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
80.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (* (/ (* c0 (/ d D)) w) (/ (/ d D) h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))

series1.9s

Counts

4 → 12

Calls

4 calls:

699.0ms	(sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (* (/ (* c0 (/ d D)) w) (/ (/ d D) h)) M)))
118.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
119.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
919.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (* (/ (* c0 (/ d D)) w) (/ (/ d D) h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))

simplify1.5s

Counts

143 → 143

Iterations

Iter	Nodes
2	3783
1	705
0	227

prune2.8s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 48.2b

regimes2.6s

Accuracy

13.8% (3.3b remaining)

Error of 50.7b against oracle of 47.4b and baseline of 51.2b

bsearch3.0ms

simplify25.0ms

Iterations

Iter	Nodes
2	46
1	46
0	36

end0.0ms

sample21.9s

Algorithm

intervals

Results

6.1s	2306×	body	5120	valid
5.2s	13676×	body	80	nan
3.5s	1724×	body	2560	valid
2.4s	6963×	body	80	valid
1.4s	620×	body	10240	exit
1.3s	920×	body	1280	valid
598.0ms	425×	body	640	valid
227.0ms	225×	body	320	valid
58.0ms	113×	body	160	valid