Details

sample396.0ms

Algorithm

intervals

Results

111.0ms	77×	body	5120	valid
74.0ms	500×	body	80	nan
51.0ms	63×	body	2560	valid
30.0ms	227×	body	80	valid
17.0ms	25×	body	1280	valid
8.0ms	7×	body	10240	exit
6.0ms	12×	body	640	valid
1.0ms	4×	body	320	valid

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
3	3419
2	295
1	60
0	21

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 58.5b

localize85.0ms

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)))
28.2b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite912.0ms

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:

50.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
32.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
34.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
786.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series802.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
143.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
143.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
402.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify543.0ms

Counts

168 → 168

Iterations

Iter	Nodes
done	5000
1	639
0	163

prune999.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 32.6b

localize15.0ms

Local error

Found 1 expressions with local error:

6.2b	(* (/ c0 (* 2.0 w)) 0)

rewrite25.0ms

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:

24.0ms

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

series2.0ms

Counts

1 → 3

Calls

1 calls:

2.0ms

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

simplify1.2s

Counts

33 → 33

Iterations

Iter	Nodes
done	5000
2	863
1	188
0	69

prune262.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 30.9b

localize5.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune63.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 30.9b

localize104.0ms

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)))
18.1b	(/ (* (/ (* c0 d) w) (/ d h)) (* D D))
35.8b	(+ (/ (* (/ (* c0 d) w) (/ d h)) (* D D)) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite819.0ms

Algorithm

rewrite-expression-head

Rules

207×	`add-cbrt-cube` `add-exp-log`
101×	`prod-exp` `cbrt-unprod`
58×	`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` `associate-/l/`
2×	`sqrt-div` `frac-add`
1×	`frac-times` `+-commutative` `sum-log` `flip3-+` `flip3--` `associate-l/` `associate-r/` `flip-+` `flip--` `distribute-lft-out`

Counts

4 → 157

Calls

4 calls:

38.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
32.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
42.0ms	(/ (* (/ (* c0 d) w) (/ d h)) (* D D))
694.0ms	(+ (/ (* (/ (* c0 d) w) (/ d h)) (* D D)) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series854.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
146.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
135.0ms	(/ (* (/ (* c0 d) w) (/ d h)) (* D D))
423.0ms	(+ (/ (* (/ (* c0 d) w) (/ d h)) (* D D)) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify505.0ms

Counts

169 → 169

Iterations

Iter	Nodes
done	5001
1	1001
0	248

prune1.1s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 29.7b

regimes1.8s

Accuracy

0% (4.7b remaining)

Error of 33.6b against oracle of 28.9b and baseline of 33.6b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample13.0s

Algorithm

intervals

Results

2.9s	2262×	body	5120	valid
2.3s	13183×	body	80	nan
2.1s	6784×	body	80	valid
1.7s	1755×	body	2560	valid
661.0ms	880×	body	1280	valid
647.0ms	441×	body	640	valid
582.0ms	606×	body	10240	exit
73.0ms	230×	body	320	valid
24.0ms	111×	body	160	valid