Details

sample140.0ms

Algorithm

intervals

Results

33.0ms	74×	body	5120	valid
28.0ms	64×	body	2560	valid
19.0ms	330×	body	80	nan
10.0ms	177×	body	80	valid
6.0ms	22×	body	1280	valid
5.0ms	10×	body	10240	exit
3.0ms	13×	body	640	valid
3.0ms	17×	body	320	valid
0.0ms	2×	body	160	valid

simplify1.1s

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: 60.4b

localize25.0ms

Local error

Found 4 expressions with local error:

17.9b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.9b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.9b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
30.3b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite340.0ms

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:

18.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
16.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
16.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
281.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series523.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
94.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
94.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
240.0ms	(+ (/ (* 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 (278.0ms)

Iter	Nodes	Cost
0	157	4688
1	556	4293
2	3192	2803
done	5000	2803

prune317.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 33.4b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite15.0ms

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)

simplify2.9s

Counts

31 → 31

Iterations

Useful iterations: 2 (220.0ms)

Iter	Nodes	Cost
0	67	283
1	175	74
2	1149	38
done	5000	38

prune71.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 31.5b

localize3.0ms

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: 31.5b

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))))
37.3b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (* (* (cbrt (/ (* c0 (* d d)) (* (* w h) (* D D)))) (cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))) (cbrt (/ (* c0 (* d d)) (* (* w h) (* D D)))))) (* M M))))

rewrite421.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
9×	`*-un-lft-identity`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`cbrt-div` `times-frac` `pow1/3` `div-inv`
2×	`sqrt-div` `frac-add`
1×	`+-commutative` `flip3--` `flip3-+` `sum-log` `flip--` `flip-+` `distribute-lft-out`

Counts

4 → 56

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))))
381.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (* (* (cbrt (/ (* c0 (* d d)) (* (* w h) (* D D)))) (cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))) (cbrt (/ (* c0 (* d d)) (* (* w h) (* D D)))))) (* M M))))

series808.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
174.0ms	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
174.0ms	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
291.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (* (* (cbrt (/ (* c0 (* d d)) (* (* w h) (* D D)))) (cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))) (cbrt (/ (* c0 (* d d)) (* (* w h) (* D D)))))) (* M M))))

simplify499.0ms

Counts

68 → 68

Iterations

Useful iterations: 2 (121.0ms)

Iter	Nodes	Cost
0	142	3353
1	362	3196
2	1638	2217
done	5000	2217

prune363.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 31.5b

regimes289.0ms

Accuracy

0% (2.3b remaining)

Error of 33.5b against oracle of 31.2b and baseline of 33.5b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	6	5
done	6	5

end0.0ms

sample4.5s

Algorithm

intervals

Results

1.0s	2278×	body	5120	valid
767.0ms	13163×	body	80	nan
625.0ms	1712×	body	2560	valid
417.0ms	6844×	body	80	valid
303.0ms	605×	body	10240	exit
284.0ms	965×	body	1280	valid
101.0ms	438×	body	640	valid
43.0ms	250×	body	320	valid
12.0ms	109×	body	160	valid