Details

sample378.0ms

Algorithm

intervals

Results

91.0ms	212×	body	80	valid
73.0ms	74×	body	5120	valid
47.0ms	379×	body	80	nan
39.0ms	50×	body	2560	valid
20.0ms	32×	body	1280	valid
14.0ms	10×	body	10240	exit
7.0ms	15×	body	640	valid
3.0ms	9×	body	320	valid
2.0ms	7×	body	160	valid

simplify1.9s

Counts

1 → 1

Iterations

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

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 58.2b

localize53.0ms

Local error

Found 4 expressions with local error:

15.8b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
15.8b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
15.8b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
27.0b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite898.0ms

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:

42.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
44.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
44.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
756.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series783.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
173.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
146.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
327.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify441.0ms

Counts

155 → 155

Iterations

Iter	Nodes
done	5000
1	619
0	159

prune676.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 30.0b

localize14.0ms

Local error

Found 1 expressions with local error:

5.2b	(* (/ c0 (* 2.0 w)) 0)

rewrite40.0ms

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)

simplify1.6s

Counts

31 → 31

Iterations

Iter	Nodes
done	5000
2	871
1	186
0	67

prune203.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 28.3b

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

prune81.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 28.3b

localize93.0ms

Local error

Found 4 expressions with local error:

18.6b	(* (/ (* d d) w) (/ c0 (* (* h D) D)))
18.6b	(* (/ (* d d) w) (/ c0 (* (* h D) D)))
27.0b	(+ (* (/ (* d d) w) (/ c0 (* (* h D) D))) (sqrt (* (+ (* (/ (* d d) w) (/ c0 (* (* h D) D))) M) (- (* (/ (* d d) w) (/ c0 (* (* h D) D))) M))))
27.0b	(+ (* (/ (* d d) w) (/ c0 (* (* h D) D))) (sqrt (* (+ (* (/ (* d d) w) (/ c0 (* (* h D) D))) M) (- (* (/ (* d d) w) (/ c0 (* (* h D) D))) M))))

rewrite295.0ms

Algorithm

rewrite-expression-head

Rules

112×	`add-cbrt-cube` `add-exp-log`
50×	`prod-exp` `cbrt-unprod`
48×	`sqrt-div` `frac-add`
42×	`frac-times`
34×	`cbrt-undiv` `div-exp`
30×	`associate-l/` `associate-r/`
20×	`add-sqr-sqrt` `flip3-+` `flip-+`
18×	`flip3--` `flip--`
14×	`times-frac` `associate-r` `associate-l`
12×	`*-un-lft-identity` `add-cube-cbrt`
8×	`pow1` `add-log-exp`
4×	`div-inv` `unswap-sqr`
2×	`+-commutative` `sum-log` `pow-prod-down` `*-commutative`

Counts

4 → 174

Calls

4 calls:

78.0ms	(* (/ (* d d) w) (/ c0 (* (* h D) D)))
66.0ms	(* (/ (* d d) w) (/ c0 (* (* h D) D)))
50.0ms	(+ (* (/ (* d d) w) (/ c0 (* (* h D) D))) (sqrt (* (+ (* (/ (* d d) w) (/ c0 (* (* h D) D))) M) (- (* (/ (* d d) w) (/ c0 (* (* h D) D))) M))))
81.0ms	(+ (* (/ (* d d) w) (/ c0 (* (* h D) D))) (sqrt (* (+ (* (/ (* d d) w) (/ c0 (* (* h D) D))) M) (- (* (/ (* d d) w) (/ c0 (* (* h D) D))) M))))

series1.2s

Counts

4 → 12

Calls

4 calls:

117.0ms	(* (/ (* d d) w) (/ c0 (* (* h D) D)))
130.0ms	(* (/ (* d d) w) (/ c0 (* (* h D) D)))
471.0ms	(+ (* (/ (* d d) w) (/ c0 (* (* h D) D))) (sqrt (* (+ (* (/ (* d d) w) (/ c0 (* (* h D) D))) M) (- (* (/ (* d d) w) (/ c0 (* (* h D) D))) M))))
481.0ms	(+ (* (/ (* d d) w) (/ c0 (* (* h D) D))) (sqrt (* (+ (* (/ (* d d) w) (/ c0 (* (* h D) D))) M) (- (* (/ (* d d) w) (/ c0 (* (* h D) D))) M))))

simplify494.0ms

Counts

186 → 186

Iterations

Iter	Nodes
done	5001
1	909
0	295

prune2.1s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 28.3b

regimes1.3s

Accuracy

0% (4.0b remaining)

Error of 33.1b against oracle of 29.1b and baseline of 33.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	2
0	2

end0.0ms

sample14.3s

Algorithm

intervals

Results

3.5s	2357×	body	5120	valid
2.7s	12940×	body	80	nan
2.5s	1709×	body	2560	valid
1.7s	6721×	body	80	valid
714.0ms	609×	body	10240	exit
603.0ms	922×	body	1280	valid
244.0ms	440×	body	640	valid
118.0ms	212×	body	320	valid
28.0ms	115×	body	160	valid