Details

sample158.0ms

Algorithm

intervals

Results

34.0ms	70×	body	5120	valid
24.0ms	410×	body	80	nan
22.0ms	59×	body	2560	valid
13.0ms	228×	body	80	valid
11.0ms	23×	body	10240	exit
8.0ms	27×	body	1280	valid
7.0ms	16×	body	640	valid
1.0ms	4×	body	320	valid
0.0ms	4×	body	160	valid

simplify1.2s

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: 59.2b

localize19.0ms

Local error

Found 4 expressions with local error:

17.2b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.2b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.2b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
27.2b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite331.0ms

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:

16.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
16.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
273.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series541.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
98.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
96.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
248.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify1.9s

Counts

155 → 155

Iterations

Useful iterations: 2 (702.0ms)

Iter	Nodes	Cost
0	157	4688
1	556	4293
2	3201	2803
done	5000	2803

prune355.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 31.0b

localize5.0ms

Local error

Found 1 expressions with local error:

5.4b	(* (/ c0 (* 2.0 w)) 0)

rewrite13.0ms

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:

12.0ms

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

series1.0ms

Counts

1 → 3

Calls

1 calls:

1.0ms

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

simplify2.1s

Counts

31 → 31

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	67	283
1	176	104
2	543	38
3	2129	38
done	5000	38

prune73.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 29.6b

localize1.0ms

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

prune23.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 29.6b

localize25.0ms

Local error

Found 4 expressions with local error:

26.8b	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
26.8b	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
26.8b	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
39.7b	(+ (* (* (cbrt (/ (* c0 (* d d)) (* (* w h) (* D D)))) (cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))) (cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite320.0ms

Algorithm

rewrite-expression-head

Rules

27×	`cbrt-div`
15×	`cbrt-prod`
14×	`sqrt-div` `frac-add`
10×	`frac-times` `associate-*l/`
7×	`add-sqr-sqrt` `add-cube-cbrt` `flip3--` `*-un-lft-identity` `flip--`
6×	`associate-*r/` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`times-frac` `pow1/3` `div-inv`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

4 → 67

Calls

4 calls:

13.0ms	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
13.0ms	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
14.0ms	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
278.0ms	(+ (* (* (cbrt (/ (* c0 (* d d)) (* (* w h) (* D D)))) (cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))) (cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series825.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
177.0ms	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
179.0ms	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
292.0ms	(+ (* (* (cbrt (/ (* c0 (* d d)) (* (* w h) (* D D)))) (cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))) (cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify670.0ms

Counts

79 → 79

Iterations

Useful iterations: 2 (163.0ms)

Iter	Nodes	Cost
0	186	5909
1	456	5766
2	1467	4254
done	5000	4254

prune406.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 29.4b

regimes518.0ms

Accuracy

0% (2.3b remaining)

Error of 33.4b against oracle of 31.1b and baseline of 33.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	3
done	2	3

end0.0ms

sample4.6s

Algorithm

intervals

Results

1.1s	2307×	body	5120	valid
783.0ms	12855×	body	80	nan
677.0ms	1768×	body	2560	valid
413.0ms	6741×	body	80	valid
290.0ms	938×	body	1280	valid
272.0ms	527×	body	10240	exit
114.0ms	455×	body	640	valid
35.0ms	200×	body	320	valid
12.0ms	102×	body	160	valid