Details

sample351.0ms

Algorithm

intervals

Results

74.0ms	63×	body	2560	valid
67.0ms	77×	body	5120	valid
53.0ms	500×	body	80	nan
40.0ms	25×	body	1280	valid
24.0ms	227×	body	80	valid
6.0ms	7×	body	10240	exit
4.0ms	12×	body	640	valid
1.0ms	4×	body	320	valid

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
3	3344
2	289
1	59
0	21

prune32.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 60.3b

localize74.0ms

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))))

rewrite1.0s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 143

Calls

4 calls:

65.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
65.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
52.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
808.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series825.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
159.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
148.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
349.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify493.0ms

Counts

155 → 155

Iterations

Iter	Nodes
done	5000
1	619
0	159

prune785.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 33.0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite41.0ms

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

Counts

1 → 28

Calls

1 calls:

39.0ms

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

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

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

simplify1.5s

Counts

31 → 31

Iterations

Iter	Nodes
done	5000
2	871
1	186
0	67

prune271.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 31.4b

localize4.0ms

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

prune78.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 31.4b

localize252.0ms

Local error

Found 4 expressions with local error:

18.5b	(* (/ (* d d) w) (/ c0 (* (* h D) D)))
28.2b	(+ (* (/ (* d d) w) (/ c0 (* (* h D) D))) (sqrt (* (+ (* (/ (* d d) w) (/ c0 (* (* h D) D))) M) (- (* (/ (* d d) w) (/ c0 (* (* h D) D))) M))))
28.2b	(+ (* (/ (* d d) w) (/ c0 (* (* h D) D))) (sqrt (* (+ (* (/ (* d d) w) (/ c0 (* (* h D) D))) M) (- (* (/ (* d d) w) (/ c0 (* (* h D) D))) M))))
28.2b	(+ (* (/ (* d d) w) (/ c0 (* (* h D) D))) (sqrt (* (+ (* (/ (* d d) w) (/ c0 (* (* h D) D))) M) (- (* (/ (* d d) w) (/ c0 (* (* h D) D))) M))))

rewrite346.0ms

Algorithm

rewrite-expression-head

Rules

72×	`sqrt-div` `frac-add`
61×	`frac-times`
58×	`add-cbrt-cube` `add-exp-log`
43×	`associate-l/` `associate-r/`
30×	`flip3-+` `flip-+`
27×	`flip3--` `flip--`
25×	`prod-exp` `cbrt-unprod`
17×	`cbrt-undiv` `div-exp`
12×	`add-sqr-sqrt`
10×	`add-log-exp`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`times-frac` `associate-r` `associate-l`
6×	`pow1`
3×	`+-commutative` `sum-log`
2×	`div-inv` `unswap-sqr`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 157

Calls

4 calls:

97.0ms	(* (/ (* d d) w) (/ c0 (* (* h D) D)))
70.0ms	(+ (* (/ (* d d) w) (/ c0 (* (* h D) D))) (sqrt (* (+ (* (/ (* d d) w) (/ c0 (* (* h D) D))) M) (- (* (/ (* d d) w) (/ c0 (* (* h D) D))) M))))
87.0ms	(+ (* (/ (* d d) w) (/ c0 (* (* h D) D))) (sqrt (* (+ (* (/ (* d d) w) (/ c0 (* (* h D) D))) M) (- (* (/ (* d d) w) (/ c0 (* (* h D) D))) M))))
75.0ms	(+ (* (/ (* d d) w) (/ c0 (* (* h D) D))) (sqrt (* (+ (* (/ (* d d) w) (/ c0 (* (* h D) D))) M) (- (* (/ (* d d) w) (/ c0 (* (* h D) D))) M))))

series1.6s

Counts

4 → 12

Calls

4 calls:

127.0ms	(* (/ (* d d) w) (/ c0 (* (* h D) D)))
530.0ms	(+ (* (/ (* d d) w) (/ c0 (* (* h D) D))) (sqrt (* (+ (* (/ (* d d) w) (/ c0 (* (* h D) D))) M) (- (* (/ (* d d) w) (/ c0 (* (* h D) D))) M))))
488.0ms	(+ (* (/ (* d d) w) (/ c0 (* (* h D) D))) (sqrt (* (+ (* (/ (* d d) w) (/ c0 (* (* h D) D))) M) (- (* (/ (* d d) w) (/ c0 (* (* h D) D))) M))))
488.0ms	(+ (* (/ (* d d) w) (/ c0 (* (* h D) D))) (sqrt (* (+ (* (/ (* d d) w) (/ c0 (* (* h D) D))) M) (- (* (/ (* d d) w) (/ c0 (* (* h D) D))) M))))

simplify652.0ms

Counts

169 → 169

Iterations

Iter	Nodes
done	5001
1	909
0	295

prune2.5s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 31.4b

regimes1.2s

Accuracy

0% (4.2b remaining)

Error of 33.6b against oracle of 29.4b and baseline of 33.6b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	2
0	2

end0.0ms

sample13.0s

Algorithm

intervals

Results

3.2s	2262×	body	5120	valid
3.0s	13183×	body	80	nan
1.8s	1755×	body	2560	valid
1.3s	6784×	body	80	valid
600.0ms	606×	body	10240	exit
583.0ms	880×	body	1280	valid
298.0ms	441×	body	640	valid
70.0ms	230×	body	320	valid
23.0ms	111×	body	160	valid