Details

sample376.0ms

Algorithm

intervals

Results

101.0ms	69×	body	5120	valid
61.0ms	20×	body	10240	exit
48.0ms	67×	body	2560	valid
46.0ms	438×	body	80	nan
25.0ms	244×	body	80	valid
13.0ms	27×	body	1280	valid
6.0ms	16×	body	640	valid
1.0ms	5×	body	160	valid
0.0ms	2×	body	320	valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	21	52
1	59	52
2	289	52
3	3344	52
done	5000	46

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 59.6b

localize47.0ms

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))))

rewrite871.0ms

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:

45.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
33.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
61.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
724.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series830.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
170.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
149.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
354.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify472.0ms

Counts

155 → 155

Iterations

Useful iterations: done (462.0ms)

Iter	Nodes	Cost
0	159	4688
1	619	4293
done	5000	3101

prune798.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 32.3b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite29.0ms

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:

28.0ms

(* (/ 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

Useful iterations: 2 (131.0ms)

Iter	Nodes	Cost
0	67	283
1	186	86
2	871	38
done	5000	38

prune195.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 30.8b

localize9.0ms

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

prune47.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 30.8b

localize66.0ms

Local error

Found 4 expressions with local error:

19.3b	(/ (* (* w h) (* D D)) (* d d))
20.4b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
20.4b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
32.5b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ c0 (/ (* (* w h) (* D D)) (* d d))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite852.0ms

Algorithm

rewrite-expression-head

Rules

183×	`add-cbrt-cube` `add-exp-log`
99×	`prod-exp` `cbrt-unprod`
40×	`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 → 133

Calls

4 calls:

31.0ms	(/ (* (* w h) (* D D)) (* d d))
39.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
64.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
708.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ c0 (/ (* (* w h) (* D D)) (* d d))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series742.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(/ (* (* w h) (* D D)) (* d d))
130.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
143.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
367.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ c0 (/ (* (* w h) (* D D)) (* d d))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify456.0ms

Counts

145 → 145

Iterations

Useful iterations: done (450.0ms)

Iter	Nodes	Cost
0	197	4270
1	759	4002
done	5000	2994

prune714.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 30.8b

regimes1.1s

Accuracy

0% (2.1b remaining)

Error of 33.9b against oracle of 31.9b and baseline of 33.9b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample14.4s

Algorithm

intervals

Results

3.6s	2335×	body	5120	valid
3.5s	12939×	body	80	nan
2.1s	1708×	body	2560	valid
1.0s	6848×	body	80	valid
695.0ms	567×	body	10240	exit
687.0ms	441×	body	640	valid
657.0ms	906×	body	1280	valid
77.0ms	217×	body	320	valid
25.0ms	111×	body	160	valid