Details

sample343.0ms

Algorithm

intervals

Results

75.0ms	429×	body	80	nan
67.0ms	59×	body	2560	valid
62.0ms	75×	body	5120	valid
26.0ms	254×	body	80	valid
14.0ms	17×	body	10240	exit
13.0ms	26×	body	1280	valid
6.0ms	14×	body	640	valid
3.0ms	9×	body	320	valid
1.0ms	5×	body	160	valid

simplify1.9s

Counts

1 → 1

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	21	52
1	59	52
2	289	52
3	3334	52
done	5001	46

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 59.3b

localize33.0ms

Local error

Found 4 expressions with local error:

17.0b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.0b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.0b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
27.6b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite1.1s

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:

58.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
80.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
55.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
895.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series686.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
120.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
121.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
329.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify533.0ms

Counts

155 → 155

Iterations

Useful iterations: done (522.0ms)

Iter	Nodes	Cost
0	157	4688
1	602	4293
done	5000	3059

prune459.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 30.3b

localize5.0ms

Local error

Found 1 expressions with local error:

4.9b	(* (/ c0 (* 2.0 w)) 0)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 28

Calls

1 calls:

32.0ms

(* (/ c0 (* 2.0 w)) 0)

series2.0ms

Counts

1 → 3

Calls

1 calls:

2.0ms

(* (/ c0 (* 2.0 w)) 0)

simplify1.6s

Counts

31 → 31

Iterations

Useful iterations: 2 (166.0ms)

Iter	Nodes	Cost
0	67	283
1	186	86
2	872	38
done	5000	38

prune109.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 28.9b

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune51.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 28.9b

localize40.0ms

Local error

Found 4 expressions with local error:

17.0b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.0b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.4b	(/ (* (* w h) (* D D)) (* c0 (* d d)))
30.4b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ 1 (/ (* (* w h) (* D D)) (* c0 (* d d))))) (* M M))))

rewrite1.3s

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:

73.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
61.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
72.0ms	(/ (* (* w h) (* D D)) (* c0 (* d d)))
1.1s	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ 1 (/ (* (* w h) (* D D)) (* c0 (* d d))))) (* M M))))

series679.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
125.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
116.0ms	(/ (* (* w h) (* D D)) (* c0 (* d d)))
312.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ 1 (/ (* (* w h) (* D D)) (* c0 (* d d))))) (* M M))))

simplify545.0ms

Counts

155 → 155

Iterations

Useful iterations: done (538.0ms)

Iter	Nodes	Cost
0	203	4744
1	822	4449
done	5001	3293

prune444.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 28.9b

regimes685.0ms

Accuracy

0% (2.4b remaining)

Error of 33.8b against oracle of 31.4b and baseline of 33.8b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: done (1.0ms)

Iter	Nodes	Cost
0	2	3
done	2	1

end0.0ms

sample13.5s

Algorithm

intervals

Results

3.0s	2263×	body	5120	valid
2.5s	13429×	body	80	nan
2.2s	1735×	body	2560	valid
1.2s	608×	body	10240	exit
1.1s	915×	body	1280	valid
995.0ms	6820×	body	80	valid
246.0ms	462×	body	640	valid
110.0ms	237×	body	320	valid
30.0ms	133×	body	160	valid