Details

sample164.0ms

Algorithm

intervals

Results

33.0ms	72×	body	5120	valid
25.0ms	418×	body	80	nan
22.0ms	54×	body	2560	valid
16.0ms	235×	body	80	valid
7.0ms	15×	body	10240	exit
7.0ms	24×	body	1280	valid
3.0ms	13×	body	640	valid
1.0ms	3×	body	320	valid

simplify1.5s

Counts

1 → 1

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	21	52
1	60	52
2	295	50
3	3269	50
done	5000	45

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 57.2b

localize19.0ms

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))))

rewrite746.0ms

Algorithm

rewrite-expression-head

Rules

211×	`add-exp-log` `add-cbrt-cube`
117×	`prod-exp` `cbrt-unprod`
45×	`cbrt-undiv` `div-exp`
7×	`*-un-lft-identity`
6×	`add-log-exp`
5×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def`
4×	`pow1` `expm1-log1p-u` `times-frac` `log1p-expm1-u` `div-inv`
3×	`frac-2neg` `clear-num` `associate-/r` `associate-/l`
2×	`sqrt-div` `frac-add`
1×	`+-commutative` `flip3--` `flip3-+` `sum-log` `flip--` `flip-+` `distribute-lft-out`

Counts

4 → 156

Calls

4 calls:

41.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
42.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
42.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
607.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series580.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
104.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
104.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
269.0ms	(+ (/ (* 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

168 → 168

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	161	4866
1	484	4432
2	3124	2971
done	5002	2933

prune412.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 34.5b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite24.0ms

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×	`expm1-log1p-u` `mul0` `pow-prod-down` `associate-l/` `-commutative` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`

Counts

1 → 30

Calls

1 calls:

23.0ms

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

series2.0ms

Counts

1 → 3

Calls

1 calls:

2.0ms

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

simplify2.3s

Counts

33 → 33

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	69	299
1	160	78
2	472	42
3	2122	42
done	5001	42

prune89.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 33.0b

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

prune35.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 33.0b

localize23.0ms

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)))
16.6b	(/ (* (* w h) (* D D)) (* c0 (* d d)))
28.4b	(+ (/ 1 (/ (* (* w h) (* D D)) (* c0 (* d d)))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite766.0ms

Algorithm

rewrite-expression-head

Rules

211×	`add-exp-log` `add-cbrt-cube`
117×	`prod-exp` `cbrt-unprod`
45×	`cbrt-undiv` `div-exp`
21×	`times-frac`
20×	`fma-def`
16×	`*-un-lft-identity`
13×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`div-inv`
6×	`add-log-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`frac-2neg` `clear-num` `associate-/r` `associate-/l`
2×	`sqrt-div` `frac-add` `distribute-lft-out`
1×	`+-commutative` `flip3--` `flip3-+` `sum-log` `associate-/r/` `flip--` `flip-+`

Counts

4 → 172

Calls

4 calls:

41.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
43.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
42.0ms	(/ (* (* w h) (* D D)) (* c0 (* d d)))
630.0ms	(+ (/ 1 (/ (* (* w h) (* D D)) (* c0 (* d d)))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series779.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
101.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
111.0ms	(/ (* (* w h) (* D D)) (* c0 (* d d)))
466.0ms	(+ (/ 1 (/ (* (* w h) (* D D)) (* c0 (* d d)))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify1.8s

Counts

184 → 184

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	215	4990
1	629	4706
2	4400	3083
done	5000	3081

prune425.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 33.0b

regimes498.0ms

Accuracy

0% (2.7b remaining)

Error of 33.5b against oracle of 30.8b and baseline of 33.5b

bsearch0.0ms

simplify0.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
done	3	3

end0.0ms

sample5.1s

Algorithm

intervals

Results

1.1s	2310×	body	5120	valid
799.0ms	13240×	body	80	nan
632.0ms	1669×	body	2560	valid
425.0ms	6811×	body	80	valid
316.0ms	629×	body	10240	exit
283.0ms	948×	body	1280	valid
114.0ms	453×	body	640	valid
38.0ms	217×	body	320	valid
14.0ms	119×	body	160	valid