Details

sample55.0ms

Algorithm

intervals

Results

15.0ms	362×	body	80	nan
12.0ms	277×	body	80	valid

simplify150.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	14
1	24	14
2	47	14
3	71	14
4	83	14
5	90	14
6	105	14
7	125	14
8	136	14
done	136	14

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
0.3b	(* 3.0 (sqrt x))
0.3b	(/ y (* 3.0 (sqrt x)))
0.4b	(/ 1.0 (* x 9.0))

rewrite198.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt`
63×	`*-un-lft-identity`
56×	`prod-diff`
42×	`add-cube-cbrt`
30×	`times-frac`
23×	`associate--l+`
16×	`add-exp-log` `add-cbrt-cube`
11×	`distribute-lft-out--`
10×	`div-inv`
9×	`add-log-exp` `difference-of-squares`
6×	`pow1` `associate-r` `associate-/l*`
5×	`fma-neg`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `sqrt-prod` `log1p-expm1-u`
3×	`diff-log` `associate-l` `prod-exp` `cbrt-unprod`
2×	`sub-neg` `flip3--` `frac-2neg` `clear-num` `associate-/r*` `frac-sub` `flip--` `unswap-sqr`
1×	`associate--l-` `pow-prod-down` `*-commutative`

Counts

4 → 154

Calls

4 calls:

152.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
12.0ms	(* 3.0 (sqrt x))
15.0ms	(/ y (* 3.0 (sqrt x)))
9.0ms	(/ 1.0 (* x 9.0))

series216.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
53.0ms	(* 3.0 (sqrt x))
81.0ms	(/ y (* 3.0 (sqrt x)))
24.0ms	(/ 1.0 (* x 9.0))

simplify2.1s

Counts

166 → 166

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	309	3815
1	764	3277
2	2275	2669
done	5001	2254

prune461.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite409.0ms

Algorithm

rewrite-expression-head

Rules

321×	`times-frac`
299×	`add-sqr-sqrt`
242×	`*-un-lft-identity`
221×	`add-cube-cbrt`
178×	`prod-diff`
131×	`associate--l+`
25×	`div-inv` `difference-of-squares`
16×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
11×	`distribute-lft-out--`
9×	`add-log-exp`
7×	`fma-neg`
6×	`pow1` `associate-r`
5×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `associate-/r*` `sqrt-prod` `log1p-expm1-u`
3×	`diff-log` `associate-l`
2×	`sub-neg` `flip3--` `frac-2neg` `prod-exp` `clear-num` `frac-sub` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`associate--l-` `pow-prod-down` `*-commutative` `associate-/l/`

Counts

4 → 327

Calls

4 calls:

342.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
16.0ms	(/ (/ 1.0 x) 9.0)
14.0ms	(* 3.0 (sqrt x))
13.0ms	(/ y (* 3.0 (sqrt x)))

series211.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
23.0ms	(/ (/ 1.0 x) 9.0)
49.0ms	(* 3.0 (sqrt x))
76.0ms	(/ y (* 3.0 (sqrt x)))

simplify2.3s

Counts

339 → 339

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	566	10014
1	1461	9008
2	4494	7162
done	5000	7161

prune1.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 1 (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ (- y) 3.0) (sqrt x)))
0.3b	(/ (/ (- y) 3.0) (sqrt x))
0.4b	(/ 1.0 (* x 9.0))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

417×	`times-frac`
215×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
105×	`sqrt-prod`
63×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
37×	`associate-/l*`
21×	`neg-mul-1`
13×	`add-exp-log` `add-cbrt-cube`
9×	`div-inv`
7×	`associate-/r*`
5×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `div-sub` `distribute-frac-neg` `clear-num`
1×	`neg-sub0` `prod-exp` `cbrt-unprod` `fma-udef` `associate-/l/`

Counts

3 → 296

Calls

3 calls:

0.0ms	(fma 1 (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ (- y) 3.0) (sqrt x)))
34.0ms	(/ (/ (- y) 3.0) (sqrt x))
8.0ms	(/ 1.0 (* x 9.0))

series182.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(fma 1 (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ (- y) 3.0) (sqrt x)))
84.0ms	(/ (/ (- y) 3.0) (sqrt x))
23.0ms	(/ 1.0 (* x 9.0))

simplify1.6s

Counts

305 → 305

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	501	5036
1	1116	4575
2	2721	4470
done	5001	4462

prune916.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

111×	`times-frac`
71×	`add-sqr-sqrt`
67×	`add-cube-cbrt` `*-un-lft-identity`
37×	`add-exp-log`
25×	`add-cbrt-cube`
17×	`div-exp` `associate-/l*`
13×	`associate-/r*`
11×	`div-inv`
10×	`cbrt-undiv`
7×	`pow1`
6×	`associate-r`
5×	`prod-exp`
4×	`expm1-log1p-u` `sqrt-prod` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `frac-2neg` `1-exp` `associate-l` `clear-num` `cbrt-unprod`
2×	`unswap-sqr`
1×	`pow-flip` `pow-prod-down` `associate-/r/` `*-commutative` `associate-/l/` `inv-pow`

Counts

4 → 177

Calls

4 calls:

18.0ms	(/ (* 3.0 (sqrt x)) y)
26.0ms	(/ 1 (/ (* 3.0 (sqrt x)) y))
24.0ms	(/ (/ 1.0 x) 9.0)
16.0ms	(* 3.0 (sqrt x))

series238.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(/ (* 3.0 (sqrt x)) y)
74.0ms	(/ 1 (/ (* 3.0 (sqrt x)) y))
24.0ms	(/ (/ 1.0 x) 9.0)
59.0ms	(* 3.0 (sqrt x))

simplify1.5s

Counts

189 → 189

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	361	2187
1	827	1958
2	2068	1770
done	5000	1732

prune526.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes67.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	16
1	19	16
2	21	16
done	21	16

end0.0ms

sample1.1s

Algorithm

intervals

Results

336.0ms	8528×	body	80	valid
299.0ms	8677×	body	80	nan