Details

sample368.0ms

Algorithm

intervals

Results

86.0ms	58×	body	2560	valid
63.0ms	76×	body	5120	valid
50.0ms	487×	body	80	nan
27.0ms	30×	body	10240	exit
24.0ms	229×	body	80	valid
22.0ms	18×	body	640	valid
12.0ms	21×	body	1280	valid
2.0ms	5×	body	320	valid
0.0ms	2×	body	160	valid

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
3	3344
2	289
1	59
0	21

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 60.2b

localize61.0ms

Local error

Found 4 expressions with local error:

18.4b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.4b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.4b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
26.9b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite866.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 143

Calls

4 calls:

44.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
51.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
35.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
720.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series778.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
130.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
154.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
350.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify429.0ms

Counts

155 → 155

Iterations

Iter	Nodes
done	5000
1	619
0	159

prune806.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 32.1b

localize13.0ms

Local error

Found 1 expressions with local error:

5.2b	(* (/ c0 (* 2.0 w)) 0)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-cbrt-cube` `add-exp-log`
7×	`associate-l`
6×	`add-sqr-sqrt`
4×	`*-un-lft-identity` `prod-exp` `add-cube-cbrt` `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:

19.0ms

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

series2.0ms

Counts

1 → 3

Calls

1 calls:

2.0ms

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

simplify1.7s

Counts

31 → 31

Iterations

Iter	Nodes
done	5000
2	871
1	186
0	67

prune235.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 29.5b

localize6.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune100.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 29.5b

localize47.0ms

Local error

Found 4 expressions with local error:

19.1b	(* (/ (* d d) w) (/ c0 (* (* h D) D)))
19.1b	(* (/ (* d d) w) (/ c0 (* (* h D) D)))
19.1b	(* (/ (* d d) w) (/ c0 (* (* h D) D)))
26.9b	(+ (* (/ (* d d) w) (/ c0 (* (* h D) D))) (sqrt (* (+ (* (/ (* d d) w) (/ c0 (* (* h D) D))) M) (- (* (/ (* d d) w) (/ c0 (* (* h D) D))) M))))

rewrite322.0ms

Algorithm

rewrite-expression-head

Rules

166×	`add-cbrt-cube` `add-exp-log`
75×	`prod-exp` `cbrt-unprod`
51×	`cbrt-undiv` `div-exp`
28×	`add-sqr-sqrt`
24×	`sqrt-div` `frac-add`
23×	`frac-times`
21×	`times-frac` `associate-r` `associate-l`
17×	`associate-l/` `associate-r/`
16×	`*-un-lft-identity` `add-cube-cbrt`
10×	`pow1` `flip3-+` `flip-+`
9×	`flip3--` `flip--`
6×	`div-inv` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `*-commutative`
1×	`+-commutative` `sum-log`

Counts

4 → 191

Calls

4 calls:

73.0ms	(* (/ (* d d) w) (/ c0 (* (* h D) D)))
86.0ms	(* (/ (* d d) w) (/ c0 (* (* h D) D)))
83.0ms	(* (/ (* d d) w) (/ c0 (* (* h D) D)))
61.0ms	(+ (* (/ (* d d) w) (/ c0 (* (* h D) D))) (sqrt (* (+ (* (/ (* d d) w) (/ c0 (* (* h D) D))) M) (- (* (/ (* d d) w) (/ c0 (* (* h D) D))) M))))

series1.0s

Counts

4 → 12

Calls

4 calls:

145.0ms	(* (/ (* d d) w) (/ c0 (* (* h D) D)))
167.0ms	(* (/ (* d d) w) (/ c0 (* (* h D) D)))
150.0ms	(* (/ (* d d) w) (/ c0 (* (* h D) D)))
557.0ms	(+ (* (/ (* d d) w) (/ c0 (* (* h D) D))) (sqrt (* (+ (* (/ (* d d) w) (/ c0 (* (* h D) D))) M) (- (* (/ (* d d) w) (/ c0 (* (* h D) D))) M))))

simplify574.0ms

Counts

203 → 203

Iterations

Iter	Nodes
done	5001
1	909
0	295

prune1.4s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 28.9b

regimes1.6s

Accuracy

0% (4.4b remaining)

Error of 33.8b against oracle of 29.4b and baseline of 33.8b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	4
1	4
0	3

end0.0ms

sample14.4s

Algorithm

intervals

Results

3.4s	2208×	body	5120	valid
3.0s	12893×	body	80	nan
2.1s	6811×	body	80	valid
1.8s	1752×	body	2560	valid
786.0ms	593×	body	10240	exit
726.0ms	848×	body	1280	valid
226.0ms	461×	body	640	valid
74.0ms	210×	body	320	valid
35.0ms	124×	body	160	valid