Details

sample33.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	14
2	14
1	11
0	8

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.5b

localize9.0ms

Local error

Found 1 expressions with local error:

8.5b	(/ (+ x y) (- 1.0 (/ y z)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
29×	`times-frac`
13×	`add-cube-cbrt`
10×	`difference-of-squares`
7×	`distribute-lft-out`
6×	`associate-/r*`
5×	`distribute-lft-out--`
4×	`associate-/l*`
3×	`add-cbrt-cube` `add-exp-log`
2×	`associate-/r/` `associate-/l/`
1×	`expm1-log1p-u` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-exp` `flip-+` `log1p-expm1-u` `div-inv` `flip--` `add-log-exp`

Counts

1 → 52

Calls

1 calls:

28.0ms

(/ (+ x y) (- 1.0 (/ y z)))

series63.0ms

Counts

1 → 3

Calls

1 calls:

63.0ms

(/ (+ x y) (- 1.0 (/ y z)))

simplify2.1s

Counts

55 → 55

Iterations

Iter	Nodes
done	5002
3	3469
2	712
1	214
0	97

prune258.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 7.5b

localize23.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
8.6b	(/ (- 1.0 (/ y z)) (+ x y))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

231×	`times-frac`
194×	`add-sqr-sqrt`
193×	`*-un-lft-identity`
89×	`add-cube-cbrt`
42×	`difference-of-squares`
34×	`associate-/r*`
31×	`distribute-lft-out`
21×	`distribute-lft-out--`
15×	`add-exp-log`
11×	`associate-/r/`
9×	`add-cbrt-cube` `associate-/l*`
8×	`div-exp`
6×	`div-inv`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv`
3×	`pow1`
2×	`expm1-log1p-u` `rec-exp` `clear-num` `frac-2neg` `1-exp` `log1p-expm1-u` `add-log-exp` `associate-/l/`
1×	`flip3--` `div-sub` `pow-flip` `flip--` `inv-pow`

Counts

2 → 199

Calls

2 calls:

29.0ms	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
52.0ms	(/ (- 1.0 (/ y z)) (+ x y))

series201.0ms

Counts

2 → 6

Calls

2 calls:

134.0ms	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
67.0ms	(/ (- 1.0 (/ y z)) (+ x y))

simplify1.3s

Counts

205 → 205

Iterations

Iter	Nodes
done	5001
2	3046
1	669
0	249

prune554.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (+ y x))
0.0b	(- (/ 1.0 (+ y x)) (/ y (* (+ y x) z)))
0.2b	(/ 1 (- (/ 1.0 (+ y x)) (/ y (* (+ y x) z))))
10.0b	(/ y (* (+ y x) z))

rewrite225.0ms

Algorithm

rewrite-expression-head

Rules

222×	`*-un-lft-identity`
218×	`times-frac`
169×	`add-sqr-sqrt`
162×	`prod-diff`
144×	`add-cube-cbrt`
83×	`associate-/r/`
48×	`associate-*l/`
40×	`flip3-+` `flip-+`
34×	`distribute-lft-out`
31×	`div-inv`
18×	`fma-neg`
15×	`add-exp-log`
13×	`associate-/r*` `add-cbrt-cube`
10×	`distribute-rgt-out--` `difference-of-squares`
9×	`associate-/l*`
6×	`add-log-exp`
5×	`pow1` `div-exp` `distribute-lft-out--`
4×	`expm1-log1p-u` `cbrt-undiv` `log1p-expm1-u`
3×	`clear-num` `frac-2neg`
2×	`flip3--` `frac-sub` `flip--`
1×	`rec-exp` `sub-neg` `diff-log` `1-exp` `prod-exp` `cbrt-unprod` `pow-flip` `inv-pow`

Counts

4 → 316

Calls

4 calls:

17.0ms	(/ 1.0 (+ y x))
77.0ms	(- (/ 1.0 (+ y x)) (/ y (* (+ y x) z)))
97.0ms	(/ 1 (- (/ 1.0 (+ y x)) (/ y (* (+ y x) z))))
9.0ms	(/ y (* (+ y x) z))

series355.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(/ 1.0 (+ y x))
133.0ms	(- (/ 1.0 (+ y x)) (/ y (* (+ y x) z)))
99.0ms	(/ 1 (- (/ 1.0 (+ y x)) (/ y (* (+ y x) z))))
78.0ms	(/ y (* (+ y x) z))

simplify1.6s

Counts

328 → 328

Iterations

Iter	Nodes
done	5001
2	3057
1	835
0	378

prune1.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1.0 (+ y x)) (* y (/ (/ 1 z) (+ x y))))
0.2b	(/ 1 (- (/ 1.0 (+ y x)) (* y (/ (/ 1 z) (+ x y)))))
0.2b	(/ (/ 1 z) (+ x y))
9.5b	(* y (/ (/ 1 z) (+ x y)))

rewrite250.0ms

Algorithm

rewrite-expression-head

Rules

223×	`times-frac`
187×	`*-un-lft-identity`
132×	`add-sqr-sqrt`
120×	`add-cube-cbrt`
58×	`associate-r`
33×	`distribute-lft-out`
32×	`add-exp-log`
20×	`add-cbrt-cube`
18×	`fma-neg` `prod-diff`
16×	`associate-/l*`
14×	`div-exp` `div-inv`
11×	`associate-/r/`
7×	`pow1` `cbrt-undiv` `associate-/r*`
6×	`add-log-exp`
5×	`prod-exp`
4×	`expm1-log1p-u` `flip3-+` `flip-+` `log1p-expm1-u` `unswap-sqr`
3×	`rec-exp` `1-exp` `associate-l` `associate-*r/` `cbrt-unprod`
2×	`clear-num` `frac-2neg` `flip3--` `frac-sub` `flip--`
1×	`sub-neg` `diff-log` `pow-prod-down` `*-commutative` `pow-flip` `inv-pow` `associate-/l/`

Counts

4 → 262

Calls

4 calls:

71.0ms	(- (/ 1.0 (+ y x)) (* y (/ (/ 1 z) (+ x y))))
68.0ms	(/ 1 (- (/ 1.0 (+ y x)) (* y (/ (/ 1 z) (+ x y)))))
26.0ms	(/ (/ 1 z) (+ x y))
62.0ms	(* y (/ (/ 1 z) (+ x y)))

series327.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(- (/ 1.0 (+ y x)) (* y (/ (/ 1 z) (+ x y))))
101.0ms	(/ 1 (- (/ 1.0 (+ y x)) (* y (/ (/ 1 z) (+ x y)))))
42.0ms	(/ (/ 1 z) (+ x y))
59.0ms	(* y (/ (/ 1 z) (+ x y)))

simplify1.7s

Counts

274 → 274

Iterations

Iter	Nodes
done	5000
2	4279
1	926
0	341

prune1.2s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes442.0ms

Accuracy

98.8% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 6.3b

bsearch1.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	28
1	28
0	22

end0.0ms

sample804.0ms

Algorithm

intervals

Results

394.0ms	7995×	body	80	valid
0.0ms	2×	body	2560	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid