Details

sample35.0ms

Algorithm

intervals

Results

8.0ms	31×	body	1280	valid
7.0ms	190×	body	80	valid
6.0ms	34×	body	640	valid
2.0ms	17×	body	320	valid
0.0ms	4×	body	160	valid

simplify9.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	4
1	24	4
2	48	4
3	71	4
4	79	4
5	79	4
done	79	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
2.1b	(/ (* x (/ (sin y) y)) z)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`times-frac`
21×	`add-cube-cbrt` `*-un-lft-identity`
19×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
6×	`cbrt-undiv` `div-exp` `associate-/r*`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `associate-/l*`
3×	`associate-l` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 83

Calls

3 calls:

18.0ms	(* x (/ (sin y) y))
8.0ms	(/ (sin y) y)
13.0ms	(/ (* x (/ (sin y) y)) z)

series150.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(* x (/ (sin y) y))
30.0ms	(/ (sin y) y)
68.0ms	(/ (* x (/ (sin y) y)) z)

simplify42.0ms

Counts

92 → 92

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	326	487
1	1643	420
2	5001	420
done	5001	420

prune193.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (/ 1 (/ y (sin y))))
0.1b	(/ y (sin y))
0.2b	(/ 1 (/ y (sin y)))
2.1b	(/ (* x (/ 1 (/ y (sin y)))) z)

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

159×	`times-frac`
106×	`add-sqr-sqrt`
94×	`*-un-lft-identity`
92×	`add-cube-cbrt`
64×	`add-exp-log`
44×	`associate-r`
34×	`add-cbrt-cube`
30×	`div-exp`
19×	`associate-/r*`
14×	`cbrt-undiv` `prod-exp`
11×	`div-inv`
7×	`pow1` `associate-/l*`
6×	`rec-exp` `1-exp` `cbrt-unprod`
5×	`unswap-sqr`
4×	`add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`associate-*r/` `associate-/r/` `un-div-inv` `associate-/l/`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 207

Calls

4 calls:

32.0ms	(* x (/ 1 (/ y (sin y))))
5.0ms	(/ y (sin y))
14.0ms	(/ 1 (/ y (sin y)))
21.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

series180.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* x (/ 1 (/ y (sin y))))
28.0ms	(/ y (sin y))
25.0ms	(/ 1 (/ y (sin y)))
74.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

simplify81.0ms

Counts

219 → 219

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	709	1445
1	3691	1227
2	5003	1090
done	5003	1090

prune394.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ x (/ y (sin y)))
0.1b	(/ y (sin y))
2.1b	(/ (pow (/ x (/ y (sin y))) 1) z)

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

492×	`times-frac`
246×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
176×	`unpow-prod-down`
54×	`associate-/l*`
23×	`div-inv`
22×	`add-exp-log`
19×	`associate-/r*`
12×	`div-exp` `add-cbrt-cube`
5×	`cbrt-undiv` `associate-/r/`
4×	`sqr-pow`
3×	`pow1` `frac-2neg` `pow-exp` `clear-num` `add-log-exp`
1×	`pow-to-exp`

Counts

3 → 308

Calls

3 calls:

10.0ms	(/ x (/ y (sin y)))
6.0ms	(/ y (sin y))
50.0ms	(/ (pow (/ x (/ y (sin y))) 1) z)

series157.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(/ x (/ y (sin y)))
23.0ms	(/ y (sin y))
76.0ms	(/ (pow (/ x (/ y (sin y))) 1) z)

simplify50.0ms

Counts

317 → 317

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	1097	3300
1	5001	3031
done	5001	3031

prune852.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (/ (/ 1 y) (/ 1 (sin y))))
0.1b	(/ 1 (sin y))
0.2b	(/ (/ 1 y) (/ 1 (sin y)))
2.1b	(/ (* x (/ (/ 1 y) (/ 1 (sin y)))) z)

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

857×	`times-frac`
429×	`add-sqr-sqrt`
400×	`*-un-lft-identity`
394×	`add-cube-cbrt`
183×	`add-exp-log`
174×	`associate-r`
116×	`div-exp`
61×	`add-cbrt-cube`
58×	`div-inv`
34×	`prod-exp`
31×	`cbrt-undiv`
25×	`rec-exp` `1-exp`
19×	`associate-/r*`
17×	`associate-/l*`
10×	`cbrt-unprod` `unswap-sqr`
7×	`pow1`
4×	`add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`associate-*r/` `associate-/r/` `associate-/l/`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 519

Calls

4 calls:

74.0ms	(* x (/ (/ 1 y) (/ 1 (sin y))))
9.0ms	(/ 1 (sin y))
19.0ms	(/ (/ 1 y) (/ 1 (sin y)))
31.0ms	(/ (* x (/ (/ 1 y) (/ 1 (sin y)))) z)

series170.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* x (/ (/ 1 y) (/ 1 (sin y))))
13.0ms	(/ 1 (sin y))
30.0ms	(/ (/ 1 y) (/ 1 (sin y)))
76.0ms	(/ (* x (/ (/ 1 y) (/ 1 (sin y)))) z)

simplify80.0ms

Counts

531 → 531

Iterations

Useful iterations: 1 (36.0ms)

Iter	Nodes	Cost
0	1974	4830
1	5001	4099
done	5001	4099

prune894.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes188.0ms

Accuracy

93.4% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 2.9b

bsearch78.0ms

Steps

Iters	Range		Point
8	892369.0132880388	49821777349.62285	14047118970.925291
8	-2.3427490500632407e-58	-8.615187806260869e-63	-1.5791765835238173e-58

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	10
1	25	10
done	25	10

end0.0ms

sample1.1s

Algorithm

intervals

Results

270.0ms	1028×	body	1280	valid
242.0ms	5762×	body	80	valid
186.0ms	1067×	body	640	valid
68.0ms	568×	body	320	valid
25.0ms	295×	body	160	valid