Details

sample28.0ms

Algorithm

intervals

Results

8.0ms	274×	body	80	valid
6.0ms	234×	body	80	nan

simplify91.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	14
1	24	14
2	47	14
3	75	14
4	92	14
5	109	14
6	124	14
7	155	14
8	166	14
done	166	14

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
0.2b	(/ y (* 3.0 (sqrt x)))
0.3b	(/ 1.0 (* x 9.0))
0.3b	(* 3.0 (sqrt x))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
11×	`add-cube-cbrt`
9×	`add-log-exp`
6×	`pow1` `times-frac` `associate-r` `associate-/l*`
4×	`cbrt-undiv` `div-exp` `sqrt-prod`
3×	`diff-log` `associate-l` `prod-exp` `cbrt-unprod` `distribute-lft-out--`
2×	`sub-neg` `flip3--` `frac-2neg` `associate--l+` `clear-num` `associate-/r*` `frac-sub` `flip--` `div-inv` `unswap-sqr`
1×	`associate--l-` `pow-prod-down` `*-commutative` `difference-of-squares`

Counts

4 → 85

Calls

4 calls:

43.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
4.0ms	(/ y (* 3.0 (sqrt x)))
3.0ms	(/ 1.0 (* x 9.0))
5.0ms	(* 3.0 (sqrt x))

series163.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
61.0ms	(/ y (* 3.0 (sqrt x)))
16.0ms	(/ 1.0 (* x 9.0))
38.0ms	(* 3.0 (sqrt x))

simplify587.0ms

Counts

97 → 97

Iterations

Useful iterations: done (584.0ms)

Iter	Nodes	Cost
0	215	1191
1	514	1096
2	1809	1004
done	5000	998

prune228.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
0.3b	(/ (/ y 3.0) (sqrt x))
0.3b	(/ 1.0 (* x 9.0))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

150×	`times-frac`
98×	`add-sqr-sqrt`
87×	`*-un-lft-identity`
82×	`add-cube-cbrt`
44×	`sqrt-prod`
16×	`associate-/l*`
13×	`add-exp-log` `add-cbrt-cube`
9×	`div-inv`
8×	`add-log-exp`
7×	`associate-/r*`
5×	`cbrt-undiv` `div-exp` `difference-of-squares`
3×	`pow1` `diff-log` `distribute-lft-out--`
2×	`sub-neg` `flip3--` `frac-2neg` `associate--l+` `clear-num` `frac-sub` `flip--`
1×	`associate--l-` `prod-exp` `cbrt-unprod` `associate-/l/`

Counts

3 → 158

Calls

3 calls:

70.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
7.0ms	(/ (/ y 3.0) (sqrt x))
5.0ms	(/ 1.0 (* x 9.0))

series123.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
61.0ms	(/ (/ y 3.0) (sqrt x))
17.0ms	(/ 1.0 (* x 9.0))

simplify897.0ms

Counts

167 → 167

Iterations

Useful iterations: done (892.0ms)

Iter	Nodes	Cost
0	329	2616
1	758	2396
2	2499	2320
done	5000	2317

prune383.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (/ 0.1111111111111111 x))
0.0b	(- (- 1.0 (/ 0.1111111111111111 x)) (/ (/ y 3.0) (sqrt x)))
0.3b	(/ (/ y 3.0) (sqrt x))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

148×	`times-frac`
101×	`add-sqr-sqrt`
87×	`*-un-lft-identity`
80×	`add-cube-cbrt`
44×	`sqrt-prod`
13×	`associate-/l*`
10×	`add-log-exp`
8×	`add-exp-log` `add-cbrt-cube` `div-inv`
7×	`difference-of-squares`
6×	`associate-/r*`
4×	`diff-log` `distribute-lft-out--`
3×	`pow1` `cbrt-undiv` `sub-neg` `flip3--` `div-exp` `flip--`
2×	`associate--l+` `frac-sub`
1×	`associate--l-` `frac-2neg` `clear-num` `associate-/l/`

Counts

3 → 152

Calls

3 calls:

6.0ms	(- 1.0 (/ 0.1111111111111111 x))
82.0ms	(- (- 1.0 (/ 0.1111111111111111 x)) (/ (/ y 3.0) (sqrt x)))
7.0ms	(/ (/ y 3.0) (sqrt x))

series134.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(- 1.0 (/ 0.1111111111111111 x))
48.0ms	(- (- 1.0 (/ 0.1111111111111111 x)) (/ (/ y 3.0) (sqrt x)))
56.0ms	(/ (/ y 3.0) (sqrt x))

simplify783.0ms

Counts

161 → 161

Iterations

Useful iterations: done (778.0ms)

Iter	Nodes	Cost
0	302	2520
1	699	2308
2	2140	2244
done	5001	2241

prune361.0ms

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 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
0.2b	(/ y (* 3.0 (sqrt x)))
0.3b	(/ (/ 1.0 x) 9.0)
0.3b	(* 3.0 (sqrt x))

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
57×	`add-sqr-sqrt`
56×	`*-un-lft-identity`
51×	`add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
9×	`add-log-exp`
6×	`pow1` `associate-r` `div-inv`
5×	`cbrt-undiv` `div-exp`
4×	`associate-/r*` `sqrt-prod`
3×	`diff-log` `associate-l` `distribute-lft-out--`
2×	`sub-neg` `flip3--` `frac-2neg` `prod-exp` `associate--l+` `clear-num` `frac-sub` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`associate--l-` `pow-prod-down` `*-commutative` `associate-/l/` `difference-of-squares`

Counts

4 → 134

Calls

4 calls:

155.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
4.0ms	(/ y (* 3.0 (sqrt x)))
6.0ms	(/ (/ 1.0 x) 9.0)
4.0ms	(* 3.0 (sqrt x))

series162.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
60.0ms	(/ y (* 3.0 (sqrt x)))
16.0ms	(/ (/ 1.0 x) 9.0)
37.0ms	(* 3.0 (sqrt x))

simplify867.0ms

Counts

146 → 146

Iterations

Useful iterations: done (862.0ms)

Iter	Nodes	Cost
0	314	1868
1	740	1729
2	2502	1633
done	5000	1627

prune382.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes52.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
done	11	12

end0.0ms

sample761.0ms

Algorithm

intervals

Results

257.0ms	8519×	body	80	valid
246.0ms	8535×	body	80	nan