Details

sample53.0ms

Algorithm

intervals

Results

17.0ms	276×	body	80	valid
15.0ms	282×	body	80	nan

simplify176.0ms

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

localize14.0ms

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))

rewrite214.0ms

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:

165.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
14.0ms	(/ y (* 3.0 (sqrt x)))
14.0ms	(* 3.0 (sqrt x))
12.0ms	(/ 1.0 (* x 9.0))

series194.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
64.0ms	(/ y (* 3.0 (sqrt x)))
51.0ms	(* 3.0 (sqrt x))
29.0ms	(/ 1.0 (* x 9.0))

simplify1.8s

Counts

166 → 166

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	309	3815
1	764	3277
2	2279	2669
done	5000	2254

prune521.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* 3.0 (sqrt x)) y)
0.3b	(* 3.0 (sqrt x))
0.3b	(/ 1.0 (* x 9.0))
0.7b	(/ 1 (/ (* 3.0 (sqrt x)) y))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

39×	`times-frac`
37×	`add-exp-log`
31×	`add-sqr-sqrt`
27×	`add-cube-cbrt` `*-un-lft-identity`
25×	`add-cbrt-cube`
16×	`div-exp`
11×	`associate-/r*`
9×	`cbrt-undiv`
7×	`pow1` `div-inv` `associate-/l*`
6×	`associate-r` `prod-exp`
4×	`expm1-log1p-u` `sqrt-prod` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `frac-2neg` `1-exp` `associate-l` `clear-num`
2×	`unswap-sqr`
1×	`pow-flip` `pow-prod-down` `associate-/r/` `*-commutative` `inv-pow`

Counts

4 → 128

Calls

4 calls:

17.0ms	(/ (* 3.0 (sqrt x)) y)
13.0ms	(* 3.0 (sqrt x))
8.0ms	(/ 1.0 (* x 9.0))
27.0ms	(/ 1 (/ (* 3.0 (sqrt x)) y))

series233.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(/ (* 3.0 (sqrt x)) y)
56.0ms	(* 3.0 (sqrt x))
20.0ms	(/ 1.0 (* x 9.0))
70.0ms	(/ 1 (/ (* 3.0 (sqrt x)) y))

simplify1.5s

Counts

140 → 140

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	263	1510
1	612	1327
2	1641	1141
done	5000	1103

prune387.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 3.0 (/ y (sqrt x)))
0.2b	(/ y (sqrt x))
0.3b	(/ 1.0 (* x 9.0))
0.7b	(/ (sqrt 1) (/ 3.0 (/ y (sqrt x))))

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

1425×	`times-frac`
674×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
453×	`sqrt-prod`
100×	`associate-/r*`
36×	`div-inv`
25×	`add-exp-log` `add-cbrt-cube`
15×	`associate-/l*`
12×	`cbrt-undiv` `div-exp`
9×	`associate-/r/`
4×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`prod-exp` `cbrt-unprod`

Counts

4 → 694

Calls

4 calls:

17.0ms	(/ 3.0 (/ y (sqrt x)))
8.0ms	(/ y (sqrt x))
12.0ms	(/ 1.0 (* x 9.0))
44.0ms	(/ (sqrt 1) (/ 3.0 (/ y (sqrt x))))

series241.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(/ 3.0 (/ y (sqrt x)))
47.0ms	(/ y (sqrt x))
21.0ms	(/ 1.0 (* x 9.0))
94.0ms	(/ (sqrt 1) (/ 3.0 (/ y (sqrt x))))

simplify2.1s

Counts

706 → 706

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	841	14755
1	1837	11182
2	3740	10103
done	5001	10096

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

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)

rewrite407.0ms

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:

331.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
18.0ms	(/ y (* 3.0 (sqrt x)))
17.0ms	(* 3.0 (sqrt x))
15.0ms	(/ (/ 1.0 x) 9.0)

series223.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
90.0ms	(/ y (* 3.0 (sqrt x)))
59.0ms	(* 3.0 (sqrt x))
18.0ms	(/ (/ 1.0 x) 9.0)

simplify2.6s

Counts

339 → 339

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	566	10014
1	1461	9008
2	4491	7162
done	5000	7160

prune2.3s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes119.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	15	17
1	18	16
done	18	16

end0.0ms

sample1.8s

Algorithm

intervals

Results

716.0ms	8535×	body	80	nan
622.0ms	8547×	body	80	valid