Details

sample415.0ms

Algorithm

intervals

Results

151.0ms	77×	body	5120	valid
50.0ms	368×	body	80	nan
43.0ms	56×	body	2560	valid
29.0ms	213×	body	80	valid
27.0ms	28×	body	10240	exit
16.0ms	25×	body	1280	valid
7.0ms	15×	body	640	valid
3.0ms	8×	body	320	valid
1.0ms	3×	body	160	valid

simplify2.2s

Counts

1 → 1

Iterations

Useful iterations: done (2.2s)

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

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 59.0b

localize39.0ms

Local error

Found 4 expressions with local error:

20.4b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
20.4b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
20.4b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
28.4b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite1.2s

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:

55.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
52.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
65.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
974.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series835.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
154.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
161.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
371.0ms	(+ (/ (* 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

168 → 168

Iterations

Useful iterations: done (2.4s)

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

prune547.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 31.7b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite30.0ms

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:

29.0ms

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

series2.0ms

Counts

1 → 3

Calls

1 calls:

2.0ms

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

simplify2.5s

Counts

33 → 33

Iterations

Useful iterations: 2 (84.0ms)

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

prune90.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 30.1b

localize3.0ms

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

prune23.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 30.1b

localize33.0ms

Local error

Found 4 expressions with local error:

19.6b	(/ (/ (* c0 (* d d)) (* w h)) (* D D))
20.4b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
20.4b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
30.8b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (/ (* c0 (* d d)) (* w h)) (* D D)) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite667.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 163

Calls

4 calls:

31.0ms	(/ (/ (* c0 (* d d)) (* w h)) (* D D))
49.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
47.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
530.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (/ (* c0 (* d d)) (* w h)) (* D D)) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series672.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(/ (/ (* c0 (* d d)) (* w h)) (* D D))
136.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
122.0ms	(/ (* 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))))

simplify2.8s

Counts

175 → 175

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	239	4948
1	668	4549
2	4291	3080
done	5000	3078

prune617.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 30.0b

regimes569.0ms

Accuracy

0% (2.6b remaining)

Error of 33.3b against oracle of 30.6b and baseline of 33.3b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	7	5
done	7	5

end0.0ms

sample13.1s

Algorithm

intervals

Results

3.2s	13155×	body	80	nan
2.7s	2280×	body	5120	valid
1.7s	1695×	body	2560	valid
1.2s	931×	body	1280	valid
895.0ms	6781×	body	80	valid
663.0ms	467×	body	640	valid
578.0ms	576×	body	10240	exit
65.0ms	214×	body	320	valid
23.0ms	121×	body	160	valid