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)))

rewrite20.0ms

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` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 50

Calls

1 calls:

18.0ms

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

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

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

simplify1.5s

Counts

53 → 53

Iterations

Useful iterations: 4 (740.0ms)

Iter	Nodes	Cost
0	95	835
1	204	812
2	513	776
3	1342	776
4	3634	775
done	5001	775

prune115.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 7.6b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite54.0ms

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` `frac-times` `rec-exp` `flip3--` `flip3-+` `1-exp` `associate-*l/` `flip--` `cbrt-unprod` `flip-+` `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 → 97

Calls

2 calls:

13.0ms	(/ 1 (- 1.0 (/ y z)))
37.0ms	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series96.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(/ 1 (- 1.0 (/ y z)))
52.0ms	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify1.9s

Counts

103 → 103

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	143	1364
1	344	1144
2	922	1046
3	2873	1046
done	5000	1045

prune175.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 7.5b

localize9.0ms

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))

rewrite53.0ms

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

Counts

2 → 195

Calls

2 calls:

21.0ms	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
21.0ms	(/ (- 1.0 (/ y z)) (+ x y))

series163.0ms

Counts

2 → 6

Calls

2 calls:

118.0ms	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
45.0ms	(/ (- 1.0 (/ y z)) (+ x y))

simplify2.3s

Counts

201 → 201

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	245	4021
1	591	3530
2	1312	3223
3	3772	3179
done	5000	3177

prune230.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (+ x y))
0.0b	(- (/ 1.0 (+ x y)) (/ y (* (+ x y) z)))
0.2b	(/ 1 (- (/ 1.0 (+ x y)) (/ y (* (+ x y) z))))
8.7b	(/ y (* (+ x y) z))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
46×	`*-un-lft-identity`
44×	`times-frac`
28×	`add-cube-cbrt`
27×	`associate-/r/`
15×	`add-exp-log`
13×	`associate-/r*` `add-cbrt-cube`
12×	`flip3-+` `associate-*l/` `flip-+`
10×	`distribute-rgt-out--` `difference-of-squares`
9×	`associate-/l*`
6×	`add-log-exp`
5×	`pow1` `div-exp` `distribute-lft-out--`
4×	`cbrt-undiv` `distribute-lft-out`
3×	`frac-2neg` `clear-num` `div-inv`
2×	`flip3--` `frac-sub` `flip--`
1×	`sub-neg` `rec-exp` `pow-flip` `diff-log` `1-exp` `prod-exp` `cbrt-unprod` `inv-pow`

Counts

4 → 128

Calls

4 calls:

5.0ms	(/ 1.0 (+ x y))
35.0ms	(- (/ 1.0 (+ x y)) (/ y (* (+ x y) z)))
46.0ms	(/ 1 (- (/ 1.0 (+ x y)) (/ y (* (+ x y) z))))
5.0ms	(/ y (* (+ x y) z))

series347.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(/ 1.0 (+ x y))
121.0ms	(- (/ 1.0 (+ x y)) (/ y (* (+ x y) z)))
123.0ms	(/ 1 (- (/ 1.0 (+ x y)) (/ y (* (+ x y) z))))
62.0ms	(/ y (* (+ x y) z))

simplify1.6s

Counts

140 → 140

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	203	2317
1	415	2160
2	1020	2044
3	3531	2036
done	5000	2035

prune232.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes203.0ms

Accuracy

96.2% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 6.4b

bsearch2.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	20	57
1	27	49
done	27	49

end0.0ms

sample357.0ms

Algorithm

intervals

Results

198.0ms	7995×	body	80	valid
0.0ms	3×	body	1280	valid
0.0ms	2×	body	320	valid