Details

sample32.0ms

Algorithm

intervals

Results

20.0ms

256×

body

valid

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	14
2	14
1	11
0	8

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.1b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (/ y z))
8.1b	(/ (+ x y) (- 1.0 (/ y z)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
30×	`times-frac`
14×	`add-cube-cbrt`
12×	`difference-of-squares`
7×	`distribute-lft-out`
6×	`associate-/r*` `distribute-lft-out--`
4×	`add-cbrt-cube` `add-exp-log` `associate-/l*` `add-log-exp`
2×	`pow1` `flip3--` `associate-/r/` `insert-posit16` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `flip-+` `div-inv`

Counts

2 → 67

Calls

2 calls:

8.0ms	(- 1.0 (/ y z))
29.0ms	(/ (+ x y) (- 1.0 (/ y z)))

series91.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(- 1.0 (/ y z))
69.0ms	(/ (+ x y) (- 1.0 (/ y z)))

simplify846.0ms

Counts

73 → 73

Iterations

Iter	Nodes
done	2002
3	1606
2	592
1	228
0	106

prune252.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 5.7b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (/ y z))
0.3b	(/ 1 (- 1.0 (/ y z)))
7.9b	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

72×	`add-sqr-sqrt`
46×	`times-frac`
44×	`*-un-lft-identity`
25×	`add-cube-cbrt`
24×	`associate-r`
16×	`add-exp-log` `difference-of-squares`
10×	`add-cbrt-cube`
8×	`distribute-lft-out--`
6×	`pow1` `associate-/r*`
5×	`add-log-exp`
4×	`div-exp` `associate-l` `prod-exp` `associate-/r/`
3×	`flip3--` `insert-posit16` `flip--` `associate-/l*` `unswap-sqr`
2×	`frac-times` `cbrt-undiv` `rec-exp` `flip3-+` `1-exp` `associate-*l/` `cbrt-unprod` `flip-+` `div-inv`
1×	`clear-num` `sub-neg` `frac-2neg` `diff-log` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `distribute-lft-out` `inv-pow`

Counts

3 → 115

Calls

3 calls:

5.0ms	(- 1.0 (/ y z))
11.0ms	(/ 1 (- 1.0 (/ y z)))
34.0ms	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series156.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(- 1.0 (/ y z))
64.0ms	(/ 1 (- 1.0 (/ y z)))
64.0ms	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify676.0ms

Counts

124 → 124

Iterations

Iter	Nodes
done	2000
2	1152
1	387
0	155

prune464.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 5.7b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (/ y z))
0.2b	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
8.1b	(/ (- 1.0 (/ y z)) (+ x y))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

232×	`times-frac`
200×	`add-sqr-sqrt`
196×	`*-un-lft-identity`
90×	`add-cube-cbrt`
44×	`difference-of-squares`
34×	`associate-/r*`
31×	`distribute-lft-out`
22×	`distribute-lft-out--`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
9×	`associate-/l*`
8×	`div-exp`
6×	`div-inv`
5×	`flip3-+` `flip-+` `add-log-exp`
4×	`pow1` `cbrt-undiv`
3×	`insert-posit16`
2×	`rec-exp` `clear-num` `frac-2neg` `flip3--` `1-exp` `flip--` `associate-/l/`
1×	`sub-neg` `diff-log` `div-sub` `pow-flip` `inv-pow`

Counts

3 → 213

Calls

3 calls:

8.0ms	(- 1.0 (/ y z))
24.0ms	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
25.0ms	(/ (- 1.0 (/ y z)) (+ x y))

series272.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(- 1.0 (/ y z))
185.0ms	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
63.0ms	(/ (- 1.0 (/ y z)) (+ x y))

simplify792.0ms

Counts

222 → 222

Iterations

Iter	Nodes
done	2003
2	1803
1	678
0	257

prune674.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 5.7b

localize44.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ (- 1.0 (/ y z)) (+ x y)))
8.1b	(/ (- 1.0 (/ y z)) (+ x y))
8.1b	(/ (- 1.0 (/ y z)) (+ x y))
8.1b	(/ (- 1.0 (/ y z)) (+ x y))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

146×	`add-sqr-sqrt`
143×	`*-un-lft-identity`
115×	`times-frac`
51×	`add-cube-cbrt`
38×	`difference-of-squares`
30×	`cbrt-prod`
27×	`distribute-lft-out`
19×	`distribute-lft-out--`
18×	`associate-/l*`
12×	`associate-/r*`
10×	`add-cbrt-cube` `add-exp-log`
8×	`associate-/r/`
6×	`associate-/l/`
4×	`pow1` `flip3-+` `flip-+` `insert-posit16` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-sub` `div-exp` `flip--`
1×	`cbrt-div` `pow1/3`

Counts

4 → 196

Calls

4 calls:

9.0ms	(cbrt (/ (- 1.0 (/ y z)) (+ x y)))
28.0ms	(/ (- 1.0 (/ y z)) (+ x y))
33.0ms	(/ (- 1.0 (/ y z)) (+ x y))
23.0ms	(/ (- 1.0 (/ y z)) (+ x y))

series517.0ms

Counts

4 → 12

Calls

4 calls:

328.0ms	(cbrt (/ (- 1.0 (/ y z)) (+ x y)))
60.0ms	(/ (- 1.0 (/ y z)) (+ x y))
62.0ms	(/ (- 1.0 (/ y z)) (+ x y))
67.0ms	(/ (- 1.0 (/ y z)) (+ x y))

simplify735.0ms

Counts

208 → 208

Iterations

Iter	Nodes
done	2000
2	1053
1	434
0	203

prune907.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 5.7b

regimes307.0ms

Accuracy

74.3% (0.6b remaining)

Error of 6.4b against oracle of 5.8b and baseline of 8.0b

bsearch1.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	30
1	30
0	24

end0.0ms

sample786.0ms

Algorithm

intervals

Results

569.0ms	7995×	body	80	valid
1.0ms	2×	body	2560	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid