Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

473×

body

valid

simplify39.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (10.0ms)

Iter	Nodes	Cost
0	7	15
1	14	14
2	29	11
3	50	8
4	67	8
5	71	8
done	71	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x x (* 3 (* y y)))
0.2b	(* 3 (* y y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt`
3×	`add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`associate-r` `*-commutative` `fma-udef` `unswap-sqr`

Counts

2 → 31

Calls

2 calls:

0.0ms	(fma x x (* 3 (* y y)))
7.0ms	(* 3 (* y y))

series88.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(fma x x (* 3 (* y y)))
30.0ms	(* 3 (* y y))

simplify2.7s

Counts

37 → 37

Iterations

Useful iterations: 3 (147.0ms)

Iter	Nodes	Cost
0	50	312
1	105	296
2	283	260
3	610	254
4	1182	254
5	3348	254
done	5000	254

prune86.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x x (* (* 3 y) y))
0.2b	(* (* 3 y) y)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`associate-l` `*-commutative` `fma-udef`

Counts

2 → 30

Calls

2 calls:

0.0ms	(fma x x (* (* 3 y) y))
7.0ms	(* (* 3 y) y)

series86.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(fma x x (* (* 3 y) y))
35.0ms	(* (* 3 y) y)

simplify3.9s

Counts

36 → 36

Iterations

Useful iterations: 4 (2.5s)

Iter	Nodes	Cost
0	52	307
1	117	291
2	427	253
3	1326	247
4	3989	246
done	5001	246

prune92.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x x (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))
0.2b	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
0.2b	(* (cbrt 3) (* y y))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

29×	`pow1` `add-exp-log`
18×	`pow-prod-down` `prod-exp` `cbrt-unprod`
17×	`add-cbrt-cube`
7×	`add-sqr-sqrt` `associate-l`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`cbrt-prod`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`associate-r` `*-commutative` `unswap-sqr`
1×	`fma-udef`

Counts

3 → 65

Calls

3 calls:

0.0ms	(fma x x (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))
31.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
9.0ms	(* (cbrt 3) (* y y))

series268.0ms

Counts

3 → 9

Calls

3 calls:

104.0ms	(fma x x (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))
105.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
59.0ms	(* (cbrt 3) (* y y))

simplify6.1s

Counts

74 → 74

Iterations

Useful iterations: 3 (815.0ms)

Iter	Nodes	Cost
0	84	954
1	203	926
2	672	629
3	2493	487
4	4718	487
done	5000	487

prune144.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (cbrt (sqrt 3)) y)
0.1b	(* (cbrt (sqrt 3)) y)
0.2b	(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt (sqrt 3)) y) (* (cbrt (sqrt 3)) y)))
0.3b	(* (* (cbrt (sqrt 3)) y) (* (cbrt (sqrt 3)) y))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

156×	`pow1`
81×	`pow-prod-down`
61×	`add-exp-log`
41×	`prod-exp` `cbrt-unprod`
37×	`add-cbrt-cube`
24×	`add-sqr-sqrt`
20×	`associate-l`
18×	`pow-prod-up`
16×	`cbrt-prod`
12×	`add-cube-cbrt` `*-un-lft-identity` `pow-plus` `pow-sqr`
8×	`associate-r` `sqrt-prod`
7×	`unswap-sqr`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
3×	`pow2`
1×	`swap-sqr`

Counts

4 → 152

Calls

4 calls:

6.0ms	(* (cbrt (sqrt 3)) y)
6.0ms	(* (cbrt (sqrt 3)) y)
64.0ms	(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt (sqrt 3)) y) (* (cbrt (sqrt 3)) y)))
16.0ms	(* (* (cbrt (sqrt 3)) y) (* (cbrt (sqrt 3)) y))

series1.3s

Counts

4 → 12

Calls

4 calls:

302.0ms	(* (cbrt (sqrt 3)) y)
297.0ms	(* (cbrt (sqrt 3)) y)
383.0ms	(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt (sqrt 3)) y) (* (cbrt (sqrt 3)) y)))
304.0ms	(* (* (cbrt (sqrt 3)) y) (* (cbrt (sqrt 3)) y))

simplify733.0ms

Counts

164 → 164

Iterations

Useful iterations: 2 (140.0ms)

Iter	Nodes	Cost
0	113	2087
1	303	1884
2	1316	1395
done	5000	1395

prune350.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes72.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	8	8
done	8	8

end0.0ms

sample522.0ms

Algorithm

intervals

Results

309.0ms

14265×

body

valid