Details

sample391.0ms

Algorithm

intervals

Results

65.0ms	438×	body	80	nan
61.0ms	69×	body	5120	valid
56.0ms	244×	body	80	valid
47.0ms	67×	body	2560	valid
40.0ms	16×	body	640	valid
22.0ms	20×	body	10240	exit
15.0ms	27×	body	1280	valid
1.0ms	5×	body	160	valid
1.0ms	2×	body	320	valid

simplify1.7s

Counts

1 → 1

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	21	52
1	60	52
2	295	50
3	3419	50
done	5000	45

prune42.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 58.0b

localize40.0ms

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)))
29.3b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite846.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 156

Calls

4 calls:

66.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
33.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
44.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
684.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series812.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
176.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
134.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
375.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify453.0ms

Counts

168 → 168

Iterations

Useful iterations: done (441.0ms)

Iter	Nodes	Cost
0	163	4866
1	639	4432
done	5000	3305

prune960.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 31.0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-cbrt-cube` `add-exp-log`
7×	`associate-l`
6×	`add-sqr-sqrt`
4×	`*-un-lft-identity` `prod-exp` `add-cube-cbrt` `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:

37.0ms

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

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

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

simplify1.1s

Counts

33 → 33

Iterations

Useful iterations: 2 (129.0ms)

Iter	Nodes	Cost
0	69	299
1	188	90
2	863	42
done	5000	42

prune233.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 29.5b

localize6.0ms

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

prune70.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 29.5b

localize88.0ms

Local error

Found 4 expressions with local error:

18.5b	(/ (* d d) (* D D))
20.4b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
20.4b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
35.4b	(+ (* (/ c0 (* w h)) (/ (* d d) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite804.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 133

Calls

4 calls:

11.0ms	(/ (* d d) (* D D))
43.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
55.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
687.0ms	(+ (* (/ c0 (* w h)) (/ (* d d) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series1.1s

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ (* d d) (* D D))
140.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
120.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
770.0ms	(+ (* (/ c0 (* w h)) (/ (* d d) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify350.0ms

Counts

145 → 145

Iterations

Useful iterations: done (343.0ms)

Iter	Nodes	Cost
0	209	4739
1	807	4393
done	5001	3203

prune901.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 29.5b

regimes1.3s

Accuracy

0% (3.1b remaining)

Error of 33.9b against oracle of 30.9b and baseline of 33.9b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	4	3
done	4	3

end0.0ms

sample14.2s

Algorithm

intervals

Results

3.2s	2335×	body	5120	valid
2.6s	12939×	body	80	nan
2.4s	1708×	body	2560	valid
2.0s	6848×	body	80	valid
782.0ms	567×	body	10240	exit
621.0ms	906×	body	1280	valid
364.0ms	441×	body	640	valid
77.0ms	217×	body	320	valid
26.0ms	111×	body	160	valid