Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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: 9.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (/ y z))
9.0b	(/ (+ x y) (- 1.0 (/ y z)))

rewrite70.0ms

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

Counts

2 → 65

Calls

2 calls:

14.0ms	(- 1.0 (/ y z))
53.0ms	(/ (+ x y) (- 1.0 (/ y z)))

series97.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(- 1.0 (/ y z))
73.0ms	(/ (+ x y) (- 1.0 (/ y z)))

simplify2.4s

Counts

71 → 71

Iterations

Useful iterations: 4 (1.2s)

Iter	Nodes	Cost
0	104	1002
1	221	974
2	570	928
3	1397	928
4	3891	927
done	5000	927

prune210.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 6.6b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (/ y z))
0.2b	(/ 1 (- 1.0 (/ y z)))
8.8b	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite154.0ms

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--` `flip--` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `flip3-+` `1-exp` `associate-*l/` `cbrt-unprod` `flip-+` `div-inv`
1×	`sub-neg` `pow-flip` `frac-2neg` `diff-log` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `distribute-lft-out` `inv-pow`

Counts

3 → 112

Calls

3 calls:

14.0ms	(- 1.0 (/ y z))
36.0ms	(/ 1 (- 1.0 (/ y z)))
100.0ms	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series124.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(- 1.0 (/ y z))
46.0ms	(/ 1 (- 1.0 (/ y z)))
58.0ms	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify2.5s

Counts

121 → 121

Iterations

Useful iterations: 2 (500.0ms)

Iter	Nodes	Cost
0	152	1531
1	354	1306
2	1007	1198
3	2819	1198
done	5000	1198

prune291.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 6.6b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (/ y z))
0.2b	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
9.1b	(/ (- 1.0 (/ y z)) (+ x y))

rewrite112.0ms

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

Counts

3 → 210

Calls

3 calls:

10.0ms	(- 1.0 (/ y z))
40.0ms	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
50.0ms	(/ (- 1.0 (/ y z)) (+ x y))

series219.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(- 1.0 (/ y z))
136.0ms	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
60.0ms	(/ (- 1.0 (/ y z)) (+ x y))

simplify2.6s

Counts

219 → 219

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	254	4188
1	594	3692
2	1411	3375
3	3782	3331
done	5000	3331

prune429.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
0.0b	(- (/ 1.0 (+ x y)) (/ y (* (+ x y) z)))
0.2b	(/ 1 (- (/ 1.0 (+ x y)) (/ y (* (+ x y) z))))
11.2b	(/ y (* (+ x y) z))

rewrite273.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
32×	`times-frac`
25×	`associate-/r/`
21×	`add-cube-cbrt`
15×	`add-exp-log`
14×	`associate-*l/`
13×	`add-cbrt-cube`
12×	`flip3-+` `flip-+`
10×	`distribute-rgt-out--` `difference-of-squares`
9×	`associate-/r*`
7×	`pow1`
6×	`associate-/l*` `add-log-exp`
5×	`distribute-lft-out--`
4×	`div-exp` `associate-l`
3×	`cbrt-undiv` `associate-r`
2×	`flip3--` `frac-2neg` `prod-exp` `clear-num` `frac-sub` `flip--` `cbrt-unprod` `div-inv`
1×	`sub-neg` `rec-exp` `pow-flip` `diff-log` `1-exp` `pow-prod-down` `*-commutative` `distribute-lft-out` `inv-pow` `unswap-sqr`

Counts

4 → 116

Calls

4 calls:

21.0ms	(* (+ x y) z)
107.0ms	(- (/ 1.0 (+ x y)) (/ y (* (+ x y) z)))
128.0ms	(/ 1 (- (/ 1.0 (+ x y)) (/ y (* (+ x y) z))))
12.0ms	(/ y (* (+ x y) z))

series496.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (+ x y) z)
181.0ms	(- (/ 1.0 (+ x y)) (/ y (* (+ x y) z)))
177.0ms	(/ 1 (- (/ 1.0 (+ x y)) (/ y (* (+ x y) z))))
100.0ms	(/ y (* (+ x y) z))

simplify3.1s

Counts

128 → 128

Iterations

Useful iterations: 3 (1.7s)

Iter	Nodes	Cost
0	186	2171
1	384	2038
2	1090	1908
3	4250	1896
done	5000	1896

prune361.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes136.0ms

Accuracy

0% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.5b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	14	15
done	14	15

end0.0ms

sample866.0ms

Algorithm

intervals

Results

440.0ms

8000×

body

valid