Details

sample251.0ms

Algorithm

intervals

Results

102.0ms	80×	body	5120	valid
30.0ms	395×	body	80	nan
24.0ms	52×	body	2560	valid
18.0ms	209×	body	80	valid
11.0ms	17×	body	10240	exit
10.0ms	27×	body	1280	valid
4.0ms	14×	body	640	valid
2.0ms	11×	body	320	valid
0.0ms	2×	body	160	valid

simplify1.9s

Counts

1 → 1

Iterations

Useful iterations: done (1.9s)

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

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 59.9b

localize44.0ms

Local error

Found 4 expressions with local error:

19.0b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
19.0b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
19.0b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
25.9b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite1.1s

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:

59.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
70.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
66.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
925.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series721.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
108.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
120.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
383.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify2.4s

Counts

155 → 155

Iterations

Useful iterations: done (2.4s)

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

prune417.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 33.1b

localize6.0ms

Local error

Found 1 expressions with local error:

4.7b	(* (/ c0 (* 2.0 w)) 0)

rewrite48.0ms

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:

47.0ms

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

series2.0ms

Counts

1 → 3

Calls

1 calls:

2.0ms

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

simplify2.9s

Counts

31 → 31

Iterations

Useful iterations: 2 (97.0ms)

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

prune99.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 30.9b

localize2.0ms

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

prune19.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 30.9b

localize63.0ms

Local error

Found 4 expressions with local error:

19.0b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
19.0b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
19.0b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
19.0b	(/ (* c0 (* d d)) (* (* w h) (* D D)))

rewrite284.0ms

Algorithm

rewrite-expression-head

Rules

280×	`add-exp-log` `add-cbrt-cube`
156×	`prod-exp` `cbrt-unprod`
60×	`cbrt-undiv` `div-exp`
4×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `frac-2neg` `-un-lft-identity` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l*` `add-log-exp`

Counts

4 → 172

Calls

4 calls:

73.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
62.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
61.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
75.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))

series638.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
182.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
163.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
137.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))

simplify1.4s

Counts

184 → 184

Iterations

Useful iterations: 2 (410.0ms)

Iter	Nodes	Cost
0	110	4504
1	322	4288
2	2291	2624
done	5000	2624

prune504.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 30.9b

regimes451.0ms

Accuracy

0% (2.3b remaining)

Error of 33.8b against oracle of 31.5b and baseline of 33.8b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: done (1.0ms)

Iter	Nodes	Cost
0	2	2
done	2	1

end0.0ms

sample14.7s

Algorithm

intervals

Results

4.3s	2295×	body	5120	valid
2.1s	12800×	body	80	nan
2.1s	6565×	body	80	valid
1.7s	1751×	body	2560	valid
1.2s	581×	body	10240	exit
637.0ms	924×	body	1280	valid
263.0ms	465×	body	640	valid
159.0ms	227×	body	320	valid
63.0ms	117×	body	160	valid