Details

sample33.0ms

Algorithm

intervals

Results

11.0ms	276×	body	80	valid
7.0ms	260×	body	80	nan

simplify18.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	24	7
1	47	7
2	73	7
3	92	7
4	105	7
5	128	7
6	161	7
7	210	7
8	244	7
9	244	7
done	244	7

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	(* 3.0 (sqrt x))
0.5b	(/ 1.0 (* x 9.0))

rewrite144.0ms

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:

113.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
8.0ms	(/ y (* 3.0 (sqrt x)))
9.0ms	(* 3.0 (sqrt x))
7.0ms	(/ 1.0 (* x 9.0))

series185.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
83.0ms	(/ y (* 3.0 (sqrt x)))
37.0ms	(* 3.0 (sqrt x))
20.0ms	(/ 1.0 (* x 9.0))

simplify91.0ms

Counts

166 → 166

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	768	2009
1	3077	1504
2	5002	1453
done	5002	1453

prune342.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (- 1.0 (/ 0.1111111111111111 x)) (/ y (* 3.0 (sqrt x))))
0.2b	(/ y (* 3.0 (sqrt x)))
0.3b	(* 3.0 (sqrt x))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 157

Calls

3 calls:

104.0ms	(- (- 1.0 (/ 0.1111111111111111 x)) (/ y (* 3.0 (sqrt x))))
19.0ms	(/ y (* 3.0 (sqrt x)))
16.0ms	(* 3.0 (sqrt x))

series137.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(- (- 1.0 (/ 0.1111111111111111 x)) (/ y (* 3.0 (sqrt x))))
59.0ms	(/ y (* 3.0 (sqrt x)))
35.0ms	(* 3.0 (sqrt x))

simplify92.0ms

Counts

166 → 166

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	809	2384
1	3160	1682
2	5002	1591
done	5002	1591

prune375.0ms

Pruning

7 alts after pruning (7 fresh and 0 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))

rewrite295.0ms

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:

245.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
9.0ms	(/ y (* 3.0 (sqrt x)))
10.0ms	(/ (/ 1.0 x) 9.0)
9.0ms	(* 3.0 (sqrt x))

series162.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
54.0ms	(/ y (* 3.0 (sqrt x)))
16.0ms	(/ (/ 1.0 x) 9.0)
43.0ms	(* 3.0 (sqrt x))

simplify66.0ms

Counts

339 → 339

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1497	5667
1	5001	4916
done	5001	4916

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ (/ 1 1) (* (cbrt 9.0) (cbrt 9.0)))
1.0b	(/ 1 (* (cbrt 9.0) (cbrt 9.0)))
1.0b	(/ 1 (* (cbrt 9.0) (cbrt 9.0)))
59.7b	(fma (- (/ (/ 1.0 x) (cbrt 9.0))) (/ 1 (* (cbrt 9.0) (cbrt 9.0))) (* (/ (/ 1.0 x) (cbrt 9.0)) (/ 1 (* (cbrt 9.0) (cbrt 9.0)))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-exp-log`
37×	`times-frac`
30×	`div-exp`
22×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
20×	`pow1`
19×	`associate-/l*`
18×	`pow-flip` `add-cbrt-cube`
14×	`1-exp`
13×	`prod-exp`
12×	`pow1/3`
10×	`cbrt-undiv`
8×	`rec-exp`
5×	`div-inv`
4×	`expm1-log1p-u` `pow-prod-down` `pow-sqr` `pow-prod-up` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num` `associate-/r*`
2×	`pow2` `pow-plus` `inv-pow`
1×	`fma-udef` `associate-/l/`

Counts

4 → 142

Calls

4 calls:

15.0ms	(/ (/ 1 1) (* (cbrt 9.0) (cbrt 9.0)))
14.0ms	(/ 1 (* (cbrt 9.0) (cbrt 9.0)))
18.0ms	(/ 1 (* (cbrt 9.0) (cbrt 9.0)))
0.0ms	(fma (- (/ (/ 1.0 x) (cbrt 9.0))) (/ 1 (* (cbrt 9.0) (cbrt 9.0))) (* (/ (/ 1.0 x) (cbrt 9.0)) (/ 1 (* (cbrt 9.0) (cbrt 9.0)))))

series255.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(/ (/ 1 1) (* (cbrt 9.0) (cbrt 9.0)))
0.0ms	(/ 1 (* (cbrt 9.0) (cbrt 9.0)))
0.0ms	(/ 1 (* (cbrt 9.0) (cbrt 9.0)))
255.0ms	(fma (- (/ (/ 1.0 x) (cbrt 9.0))) (/ 1 (* (cbrt 9.0) (cbrt 9.0))) (* (/ (/ 1.0 x) (cbrt 9.0)) (/ 1 (* (cbrt 9.0) (cbrt 9.0)))))

simplify42.0ms

Counts

148 → 148

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	399	973
1	1633	809
2	5001	684
done	5001	684

prune423.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes59.0ms

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	13	7
1	13	7
done	13	7

end0.0ms

sample859.0ms

Algorithm

intervals

Results

268.0ms	8519×	body	80	valid
237.0ms	8411×	body	80	nan