Details

sample164.0ms

Algorithm

intervals

Results

29.0ms	66×	body	5120	valid
23.0ms	416×	body	80	nan
20.0ms	57×	body	2560	valid
14.0ms	28×	body	10240	exit
13.0ms	229×	body	80	valid
12.0ms	31×	body	1280	valid
3.0ms	15×	body	640	valid
1.0ms	6×	body	320	valid
1.0ms	4×	body	160	valid

simplify106.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	60	26
1	304	25
2	3462	25
3	5003	25
done	5003	25

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 58.4b

localize22.0ms

Local error

Found 4 expressions with local error:

19.0b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
19.0b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
19.0b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
25.2b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite761.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 156

Calls

4 calls:

44.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
43.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
44.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
621.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series569.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
100.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
101.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
267.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify129.0ms

Counts

168 → 168

Iterations

Useful iterations: 2 (112.0ms)

Iter	Nodes	Cost
0	594	2246
1	3877	1589
2	5001	1584
done	5001	1584

prune375.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 32.7b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

1.0ms

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

simplify286.0ms

Counts

33 → 33

Iterations

Useful iterations: 2 (282.0ms)

Iter	Nodes	Cost
0	178	40
1	1861	24
2	5001	14
done	5001	14

prune72.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 31.0b

localize2.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune13.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 31.0b

localize26.0ms

Local error

Found 4 expressions with local error:

18.7b	(/ (* d d) (* D D))
19.0b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
19.0b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
48.6b	(fma (/ c0 (* w h)) (/ (* d d) (* D D)) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 123

Calls

4 calls:

14.0ms	(/ (* d d) (* D D))
43.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
46.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
0.0ms	(fma (/ c0 (* w h)) (/ (* d d) (* D D)) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series728.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ (* d d) (* D D))
99.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
97.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
505.0ms	(fma (/ c0 (* w h)) (/ (* d d) (* D D)) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify93.0ms

Counts

135 → 135

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	537	1496
1	3480	996
2	5002	996
done	5002	996

prune318.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 31.0b

regimes347.0ms

Accuracy

0% (2.2b remaining)

Error of 33.2b against oracle of 31.0b and baseline of 33.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample4.9s

Algorithm

intervals

Results

1.1s	2317×	body	5120	valid
736.0ms	12746×	body	80	nan
639.0ms	1704×	body	2560	valid
384.0ms	6570×	body	80	valid
293.0ms	577×	body	10240	exit
290.0ms	961×	body	1280	valid
95.0ms	411×	body	640	valid
43.0ms	233×	body	320	valid
14.0ms	124×	body	160	valid