Details

sample583.0ms

Algorithm

intervals

Results

194.0ms	84×	body	5120	valid
127.0ms	415×	body	80	nan
85.0ms	61×	body	2560	valid
48.0ms	221×	body	80	valid
37.0ms	29×	body	1280	valid
23.0ms	13×	body	10240	exit
6.0ms	6×	body	640	valid
5.0ms	9×	body	320	valid
1.0ms	1×	body	160	valid

simplify786.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	2972
2	280
1	59
0	21

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 52.5b

localize49.0ms

Local error

Found 4 expressions with local error:

13.1b	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
13.1b	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
13.1b	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
28.4b	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))

rewrite166.0ms

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:

26.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
42.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
30.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
60.0ms	(+ (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:

99.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
85.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
92.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
878.0ms	(+ (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	3540
1	665
0	215

prune3.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 51.3b

localize89.0ms

Local error

Found 4 expressions with local error:

13.1b	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
13.1b	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
28.4b	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
28.4b	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))

rewrite237.0ms

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:

40.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
56.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
56.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
82.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))

series1.8s

Counts

4 → 12

Calls

4 calls:

81.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
91.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
873.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))
772.0ms	(+ (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

144 → 144

Iterations

Iter	Nodes
2	3540
1	665
0	215

prune3.0s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 51.3b

localize67.0ms

Local error

Found 4 expressions with local error:

13.1b	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
13.1b	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
13.3b	(/ (* w h) (* (* c0 (/ d D)) (/ d D)))
30.8b	(+ (sqrt (* (+ M (/ 1 (/ (* w h) (* (* c0 (/ d D)) (/ d D))))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))

rewrite193.0ms

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/`
8×	`sqrt-div` `frac-add`
7×	`frac-times`
6×	`*-un-lft-identity` `add-log-exp` `associate-/l/`
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--` `associate-/r/` `div-inv` `flip--` `associate-/l`
1×	`+-commutative` `sum-log` `distribute-lft-out`

Counts

4 → 156

Calls

4 calls:

45.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
40.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
43.0ms	(/ (* w h) (* (* c0 (/ d D)) (/ d D)))
60.0ms	(+ (sqrt (* (+ M (/ 1 (/ (* w h) (* (* c0 (/ d D)) (/ d D))))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))

series842.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
83.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
145.0ms	(/ (* w h) (* (* c0 (/ d D)) (/ d D)))
512.0ms	(+ (sqrt (* (+ M (/ 1 (/ (* w h) (* (* c0 (/ d D)) (/ d D))))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (/ (* (* c0 (/ d D)) (/ d D)) (* w h)))

simplify1.8s

Counts

168 → 168

Iterations

Iter	Nodes
2	5027
1	867
0	269

prune3.5s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 49.9b

localize58.0ms

Local error

Found 4 expressions with local error:

13.1b	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
13.1b	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
13.2b	(* (* (* c0 (/ d D)) (/ d D)) (/ 1 (* w h)))
32.7b	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (* (* (* c0 (/ d D)) (/ d D)) (/ 1 (* w h))))

rewrite284.0ms

Algorithm

rewrite-expression-head

Rules

372×	`add-exp-log`
242×	`add-cbrt-cube`
194×	`prod-exp`
112×	`cbrt-unprod`
111×	`div-exp`
85×	`associate-*r/`
79×	`frac-times`
77×	`cbrt-undiv`
64×	`sqrt-div` `frac-add`
63×	`associate-*l/`
25×	`flip3-+` `flip-+`
24×	`flip3--` `flip--`
14×	`rec-exp` `1-exp`
13×	`pow1`
9×	`un-div-inv`
7×	`associate-r`
6×	`add-sqr-sqrt` `*-un-lft-identity` `pow-prod-down` `add-cube-cbrt` `add-log-exp` `associate-/l/`
5×	`times-frac`
4×	`insert-posit16`
3×	`div-inv`
2×	`clear-num` `associate-/r` `frac-2neg` `associate-/l`
1×	`+-commutative` `sum-log` `associate-l` `*-commutative`

Counts

4 → 264

Calls

4 calls:

44.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
37.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
137.0ms	(* (* (* c0 (/ d D)) (/ d D)) (/ 1 (* 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)) (/ 1 (* w h))))

series1.2s

Counts

4 → 12

Calls

4 calls:

108.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
103.0ms	(/ (* (* c0 (/ d D)) (/ d D)) (* w h))
108.0ms	(* (* (* c0 (/ d D)) (/ d D)) (/ 1 (* w h)))
881.0ms	(+ (sqrt (* (+ M (/ (* (* c0 (/ d D)) (/ d D)) (* w h))) (- (/ (* (* c0 (/ d D)) (/ d D)) (* w h)) M))) (* (* (* c0 (/ d D)) (/ d D)) (/ 1 (* w h))))

simplify4.2s

Counts

276 → 276

Iterations

Iter	Nodes
2	7275
1	1622
0	514

prune5.6s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 46.5b

regimes1.9s

Accuracy

-1.1% (5.7b remaining)

Error of 51.2b against oracle of 45.5b and baseline of 51.1b

bsearch5.0ms

simplify27.0ms

Iterations

Iter	Nodes
2	50
1	50
0	37

end0.0ms

sample20.2s

Algorithm

intervals

Results

5.4s	2292×	body	5120	valid
4.8s	13306×	body	80	nan
3.3s	1749×	body	2560	valid
1.7s	6913×	body	80	valid
1.3s	902×	body	1280	valid
1.2s	564×	body	10240	exit
984.0ms	476×	body	640	valid
130.0ms	198×	body	320	valid
55.0ms	123×	body	160	valid