Details

sample157.0ms

Algorithm

intervals

Results

36.0ms	76×	body	5120	valid
23.0ms	383×	body	80	nan
22.0ms	53×	body	2560	valid
12.0ms	30×	body	1280	valid
12.0ms	186×	body	80	valid
11.0ms	21×	body	10240	exit
4.0ms	17×	body	640	valid
2.0ms	11×	body	320	valid
0.0ms	1×	body	160	valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	52
1	59	52
2	285	52
3	3123	52
done	5001	52

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.1b

localize25.0ms

Local error

Found 4 expressions with local error:

18.5b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.5b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.5b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
25.7b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite326.0ms

Algorithm

rewrite-expression-head

Rules

211×	`add-exp-log` `add-cbrt-cube`
117×	`prod-exp` `cbrt-unprod`
45×	`cbrt-undiv` `div-exp`
6×	`*-un-lft-identity` `add-log-exp`
4×	`pow1` `add-sqr-sqrt` `add-cube-cbrt`
3×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l`
2×	`sqrt-div` `frac-add`
1×	`+-commutative` `flip3--` `flip3-+` `sum-log` `flip--` `flip-+` `distribute-lft-out`

Counts

4 → 143

Calls

4 calls:

18.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
16.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
16.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
267.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series524.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
96.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
95.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
240.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify1.3s

Counts

155 → 155

Iterations

Useful iterations: 2 (361.0ms)

Iter	Nodes	Cost
0	157	4688
1	556	4293
2	3188	2803
done	5000	2803

prune324.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 35.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ c0 (* 2.0 w))
7.2b	(* (/ c0 (* 2.0 w)) 0)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
6×	`times-frac`
5×	`prod-exp` `cbrt-unprod`
4×	`pow1` `cbrt-undiv` `div-exp`
3×	`associate-r` `associate-/l*`
2×	`div-inv` `add-log-exp`
1×	`frac-2neg` `mul0` `pow-prod-down` `associate-l/` `clear-num` `associate-/r` `*-commutative` `unswap-sqr`

Counts

2 → 49

Calls

2 calls:

3.0ms	(/ c0 (* 2.0 w))
10.0ms	(* (/ c0 (* 2.0 w)) 0)

series24.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(/ c0 (* 2.0 w))
1.0ms	(* (/ c0 (* 2.0 w)) 0)

simplify2.2s

Counts

55 → 55

Iterations

Useful iterations: 2 (269.0ms)

Iter	Nodes	Cost
0	81	468
1	198	256
2	558	190
3	2187	190
done	5001	190

prune125.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 31.8b

localize3.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune25.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 31.8b

localize22.0ms

Local error

Found 4 expressions with local error:

18.5b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.5b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.9b	(/ (* (* w h) (* D D)) (* c0 (* d d)))
30.5b	(+ (/ 1 (/ (* (* w h) (* D D)) (* c0 (* d d)))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite345.0ms

Algorithm

rewrite-expression-head

Rules

211×	`add-exp-log` `add-cbrt-cube`
117×	`prod-exp` `cbrt-unprod`
45×	`cbrt-undiv` `div-exp`
7×	`*-un-lft-identity`
6×	`add-log-exp`
4×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `div-inv`
3×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `associate-/l`
2×	`sqrt-div` `frac-add` `distribute-lft-out`
1×	`+-commutative` `flip3--` `flip3-+` `sum-log` `flip--` `flip-+`

Counts

4 → 144

Calls

4 calls:

16.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
16.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
16.0ms	(/ (* (* w h) (* D D)) (* c0 (* d d)))
288.0ms	(+ (/ 1 (/ (* (* w h) (* D D)) (* c0 (* d d)))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series705.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
91.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
101.0ms	(/ (* (* w h) (* D D)) (* c0 (* d d)))
421.0ms	(+ (/ 1 (/ (* (* w h) (* D D)) (* c0 (* d d)))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify1.5s

Counts

156 → 156

Iterations

Useful iterations: 2 (520.0ms)

Iter	Nodes	Cost
0	209	4808
1	753	4565
2	4484	2955
done	5000	2955

prune279.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 31.8b

regimes394.0ms

Accuracy

0% (2.3b remaining)

Error of 33.6b against oracle of 31.2b and baseline of 33.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
done	3	3

end0.0ms

sample4.8s

Algorithm

intervals

Results

1.1s	2244×	body	5120	valid
817.0ms	13170×	body	80	nan
704.0ms	1790×	body	2560	valid
446.0ms	6796×	body	80	valid
303.0ms	573×	body	10240	exit
295.0ms	930×	body	1280	valid
109.0ms	434×	body	640	valid
40.0ms	210×	body	320	valid
14.0ms	115×	body	160	valid