Details

sample166.0ms

Algorithm

intervals

Results

41.0ms	83×	body	5120	valid
26.0ms	434×	body	80	nan
24.0ms	63×	body	2560	valid
14.0ms	22×	body	10240	exit
12.0ms	192×	body	80	valid
7.0ms	22×	body	1280	valid
3.0ms	14×	body	640	valid
2.0ms	11×	body	320	valid
1.0ms	6×	body	160	valid

simplify902.0ms

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: 60.7b

localize19.0ms

Local error

Found 4 expressions with local error:

16.1b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
16.1b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
16.1b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
32.4b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite343.0ms

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:

17.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
283.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series527.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
95.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
93.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
245.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify1.1s

Counts

155 → 155

Iterations

Useful iterations: 2 (299.0ms)

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

prune307.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 30.9b

localize5.0ms

Local error

Found 1 expressions with local error:

7.9b	(* (/ c0 (* 2.0 w)) 0)

rewrite11.0ms

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:

10.0ms

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

series1.0ms

Counts

1 → 3

Calls

1 calls:

1.0ms

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

simplify1.1s

Counts

31 → 31

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	67	283
1	175	74
2	521	38
3	2123	38
done	5000	38

prune69.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 28.4b

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

prune13.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 28.4b

localize24.0ms

Local error

Found 4 expressions with local error:

29.7b	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
29.7b	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
29.7b	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
41.5b	(+ (* (* (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))))

rewrite327.0ms

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))))
13.0ms	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
284.0ms	(+ (* (* (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))))

series805.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
172.0ms	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
173.0ms	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
288.0ms	(+ (* (* (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))))

simplify516.0ms

Counts

79 → 79

Iterations

Useful iterations: 2 (143.0ms)

Iter	Nodes	Cost
0	186	5909
1	452	5766
2	1463	4254
done	5000	4254

prune405.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 28.3b

regimes441.0ms

Accuracy

0% (2.1b remaining)

Error of 33.3b against oracle of 31.2b and baseline of 33.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	3
done	2	3

end0.0ms

sample4.9s

Algorithm

intervals

Results

1.4s	2377×	body	5120	valid
806.0ms	13049×	body	80	nan
681.0ms	1745×	body	2560	valid
420.0ms	6764×	body	80	valid
286.0ms	551×	body	10240	exit
284.0ms	898×	body	1280	valid
115.0ms	472×	body	640	valid
44.0ms	234×	body	320	valid
14.0ms	113×	body	160	valid