Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
2	14	9
done	14	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.2b

localize6.0ms

Local error

Found 1 expressions with local error:

9.2b	(/ (+ x y) (- 1.0 (/ y z)))

rewrite24.0ms

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-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 52

Calls

1 calls:

22.0ms

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

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

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

simplify728.0ms

Counts

55 → 55

Iterations

Useful iterations: done (726.0ms)

Iter	Nodes	Cost
0	97	855
1	209	831
2	564	795
3	1784	795
done	5000	794

prune134.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 7.6b

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ 1 (- 1.0 (/ y z)))
8.9b	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-sqr-sqrt`
45×	`times-frac`
41×	`*-un-lft-identity`
24×	`add-cube-cbrt` `associate-r`
15×	`add-exp-log`
14×	`difference-of-squares`
9×	`add-cbrt-cube`
7×	`distribute-lft-out--`
6×	`associate-/r*`
5×	`pow1`
4×	`div-exp` `associate-l` `prod-exp` `associate-/r/`
3×	`associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `rec-exp` `flip3--` `flip3-+` `1-exp` `associate-*l/` `flip--` `cbrt-unprod` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `distribute-lft-out` `inv-pow`

Counts

2 → 101

Calls

2 calls:

13.0ms	(/ 1 (- 1.0 (/ y z)))
40.0ms	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series101.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(/ 1 (- 1.0 (/ y z)))
52.0ms	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify2.2s

Counts

107 → 107

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	147	1404
1	357	1231
2	1243	1081
3	3776	1081
done	5000	1080

prune215.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 7.5b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
9.3b	(/ (- 1.0 (/ y z)) (+ x y))

rewrite65.0ms

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` `frac-2neg` `1-exp` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`flip3--` `pow-flip` `div-sub` `flip--` `inv-pow`

Counts

2 → 199

Calls

2 calls:

22.0ms	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
30.0ms	(/ (- 1.0 (/ y z)) (+ x y))

series173.0ms

Counts

2 → 6

Calls

2 calls:

125.0ms	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
48.0ms	(/ (- 1.0 (/ y z)) (+ x y))

simplify1.3s

Counts

205 → 205

Iterations

Useful iterations: 2 (223.0ms)

Iter	Nodes	Cost
0	249	4065
1	610	3656
2	2039	3259
done	5000	3259

prune307.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 7.5b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (+ y x))
0.2b	(/ 1 (* (- 1.0 (/ y z)) (/ 1 (+ y x))))
9.2b	(* (- 1.0 (/ y z)) (/ 1 (+ y x)))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-exp-log`
40×	`*-un-lft-identity`
35×	`add-sqr-sqrt`
30×	`times-frac`
23×	`add-cube-cbrt`
20×	`div-exp`
19×	`add-cbrt-cube`
18×	`associate-r`
16×	`prod-exp`
10×	`rec-exp` `1-exp` `associate-/r/`
9×	`pow1`
7×	`distribute-lft-out`
6×	`cbrt-undiv` `associate-l` `associate-/l*`
5×	`associate-/r*`
4×	`frac-times` `flip3--` `associate-*l/` `flip--` `cbrt-unprod`
3×	`expm1-log1p-u` `pow-flip` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `flip3-+` `associate-*r/` `pow-prod-down` `clear-num` `un-div-inv` `flip-+` `inv-pow` `difference-of-squares`
1×	`*-commutative` `distribute-lft-out--`

Counts

3 → 135

Calls

3 calls:

6.0ms	(/ 1 (+ y x))
25.0ms	(/ 1 (* (- 1.0 (/ y z)) (/ 1 (+ y x))))
41.0ms	(* (- 1.0 (/ y z)) (/ 1 (+ y x)))

series211.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ 1 (+ y x))
126.0ms	(/ 1 (* (- 1.0 (/ y z)) (/ 1 (+ y x))))
47.0ms	(* (- 1.0 (/ y z)) (/ 1 (+ y x)))

simplify1.3s

Counts

144 → 144

Iterations

Useful iterations: 2 (157.0ms)

Iter	Nodes	Cost
0	172	1848
1	454	1547
2	1629	1275
done	5000	1275

prune265.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 7.5b

regimes155.0ms

Accuracy

59.9% (0.8b remaining)

Error of 6.7b against oracle of 5.9b and baseline of 7.9b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	26	69
1	30	61
done	30	61

end0.0ms

sample354.0ms

Algorithm

intervals

Results

192.0ms	7995×	body	80	valid
0.0ms	3×	body	1280	valid
0.0ms	2×	body	320	valid