Details

sample183.0ms

Algorithm

intervals

Results

38.0ms	72×	body	5120	valid
32.0ms	418×	body	80	nan
22.0ms	54×	body	2560	valid
16.0ms	235×	body	80	valid
8.0ms	15×	body	10240	exit
8.0ms	24×	body	1280	valid
3.0ms	13×	body	640	valid
1.0ms	3×	body	320	valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	21	52
1	59	52
2	289	52
3	3227	52
done	5000	46

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 58.0b

localize22.0ms

Local error

Found 4 expressions with local error:

16.3b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
16.3b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
16.3b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
25.0b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite733.0ms

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:

42.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
42.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
41.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
598.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series576.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
100.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
102.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
275.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify1.5s

Counts

155 → 155

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	157	4688
1	468	4293
2	3049	2845
done	5001	2809

prune319.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 35.4b

localize5.0ms

Local error

Found 1 expressions with local error:

8.4b	(* (/ c0 (* 2.0 w)) 0)

rewrite25.0ms

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:

24.0ms

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

series2.0ms

Counts

1 → 3

Calls

1 calls:

2.0ms

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

simplify2.0s

Counts

31 → 31

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	67	283
1	158	74
2	472	38
3	2113	38
done	5000	38

prune71.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 33.8b

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

prune25.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 33.8b

localize22.0ms

Local error

Found 4 expressions with local error:

16.3b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
16.3b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.1b	(/ (* (* w h) (* D D)) (* d d))
26.2b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ c0 (/ (* (* w h) (* D D)) (* d d))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite648.0ms

Algorithm

rewrite-expression-head

Rules

183×	`add-exp-log` `add-cbrt-cube`
99×	`prod-exp` `cbrt-unprod`
40×	`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 → 133

Calls

4 calls:

41.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
42.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
34.0ms	(/ (* (* w h) (* D D)) (* d d))
523.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ c0 (/ (* (* w h) (* D D)) (* d d))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series541.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
102.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
78.0ms	(/ (* (* w h) (* D D)) (* d d))
262.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ c0 (/ (* (* w h) (* D D)) (* d d))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify1.7s

Counts

145 → 145

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	193	4270
1	570	3924
2	3689	2582
done	5000	2580

prune260.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 33.8b

regimes345.0ms

Accuracy

0% (2.3b remaining)

Error of 33.5b against oracle of 31.3b and baseline of 33.5b

bsearch0.0ms

simplify0.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	2
done	2	2

end0.0ms

sample5.1s

Algorithm

intervals

Results

1.1s	2310×	body	5120	valid
807.0ms	13240×	body	80	nan
627.0ms	1669×	body	2560	valid
413.0ms	6811×	body	80	valid
332.0ms	629×	body	10240	exit
289.0ms	948×	body	1280	valid
108.0ms	453×	body	640	valid
38.0ms	217×	body	320	valid
14.0ms	119×	body	160	valid