Details

sample31.0ms

Algorithm

intervals

Results

9.0ms	275×	body	80	valid
8.0ms	289×	body	80	nan

simplify90.0ms

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

localize10.0ms

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	(* 3.0 (sqrt x))
0.4b	(/ 1.0 (* x 9.0))

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:

44.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
4.0ms	(/ y (* 3.0 (sqrt x)))
4.0ms	(* 3.0 (sqrt x))
3.0ms	(/ 1.0 (* x 9.0))

series162.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
61.0ms	(/ y (* 3.0 (sqrt x)))
38.0ms	(* 3.0 (sqrt x))
16.0ms	(/ 1.0 (* x 9.0))

simplify541.0ms

Counts

97 → 97

Iterations

Useful iterations: done (535.0ms)

Iter	Nodes	Cost
0	215	1191
1	514	1096
2	1615	1004
done	5000	998

prune236.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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

rewrite179.0ms

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:

159.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
4.0ms	(/ y (* 3.0 (sqrt x)))
4.0ms	(* 3.0 (sqrt x))
6.0ms	(/ (/ 1.0 x) 9.0)

series161.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
60.0ms	(/ y (* 3.0 (sqrt x)))
39.0ms	(* 3.0 (sqrt x))
17.0ms	(/ (/ 1.0 x) 9.0)

simplify753.0ms

Counts

146 → 146

Iterations

Useful iterations: done (749.0ms)

Iter	Nodes	Cost
0	314	1868
1	740	1729
2	2099	1633
done	5000	1627

prune379.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (* 3.0 (sqrt x)))
0.3b	(* y (/ 1 (* 3.0 (sqrt x))))
0.3b	(* 3.0 (sqrt x))
0.3b	(/ (/ 1.0 x) 9.0)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

81×	`times-frac`
60×	`add-sqr-sqrt`
54×	`add-cube-cbrt` `*-un-lft-identity`
41×	`add-exp-log`
25×	`add-cbrt-cube`
16×	`associate-/l*`
14×	`prod-exp`
13×	`associate-r`
11×	`pow1` `div-exp`
7×	`cbrt-undiv` `div-inv`
6×	`associate-l` `cbrt-unprod`
4×	`rec-exp` `1-exp` `associate-/r*` `sqrt-prod` `add-log-exp`
3×	`pow-prod-down` `unswap-sqr`
2×	`pow-flip` `frac-2neg` `clear-num` `*-commutative`
1×	`associate-*r/` `un-div-inv` `associate-/l/` `inv-pow`

Counts

4 → 152

Calls

4 calls:

6.0ms	(/ 1 (* 3.0 (sqrt x)))
16.0ms	(* y (/ 1 (* 3.0 (sqrt x))))
4.0ms	(* 3.0 (sqrt x))
6.0ms	(/ (/ 1.0 x) 9.0)

series164.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(/ 1 (* 3.0 (sqrt x)))
59.0ms	(* y (/ 1 (* 3.0 (sqrt x))))
44.0ms	(* 3.0 (sqrt x))
18.0ms	(/ (/ 1.0 x) 9.0)

simplify803.0ms

Counts

164 → 164

Iterations

Useful iterations: done (799.0ms)

Iter	Nodes	Cost
0	306	1755
1	723	1542
2	1923	1404
done	5000	1395

prune393.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (* (/ 1 3.0) (/ y (sqrt x))))
0.2b	(/ y (sqrt x))
0.3b	(/ (/ 1.0 x) 9.0)
0.3b	(* (/ 1 3.0) (/ y (sqrt x)))

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

132×	`times-frac`
108×	`add-sqr-sqrt`
84×	`*-un-lft-identity`
81×	`add-cube-cbrt`
33×	`add-exp-log`
24×	`sqrt-prod`
23×	`add-cbrt-cube`
22×	`associate-r`
16×	`associate-/l*`
13×	`associate-l`
12×	`div-exp`
9×	`associate-/r*` `add-log-exp` `unswap-sqr`
8×	`cbrt-undiv` `prod-exp` `div-inv`
6×	`pow1` `frac-sub`
4×	`flip3--` `flip--` `cbrt-unprod`
3×	`frac-times` `diff-log` `associate-r/` `associate-l/`
2×	`sub-neg` `rec-exp` `frac-2neg` `1-exp` `associate--l+` `clear-num`
1×	`associate--l-` `pow-prod-down` `*-commutative` `associate-/l/`

Counts

4 → 199

Calls

4 calls:

157.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (* (/ 1 3.0) (/ y (sqrt x))))
6.0ms	(/ y (sqrt x))
6.0ms	(/ (/ 1.0 x) 9.0)
18.0ms	(* (/ 1 3.0) (/ y (sqrt x)))

series177.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (* (/ 1 3.0) (/ y (sqrt x))))
47.0ms	(/ y (sqrt x))
17.0ms	(/ (/ 1.0 x) 9.0)
66.0ms	(* (/ 1 3.0) (/ y (sqrt x)))

simplify1.2s

Counts

211 → 211

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	393	2966
1	986	2584
2	2886	2414
done	5000	2394

prune503.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes57.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	16
1	17	16
done	17	16

end0.0ms

sample807.0ms

Algorithm

intervals

Results

277.0ms	8552×	body	80	valid
251.0ms	8511×	body	80	nan