Details

sample29.0ms

Algorithm

intervals

Results

12.0ms

386×

body

valid

simplify81.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (23.0ms)

Iter	Nodes	Cost
0	8	15
1	16	14
2	33	11
3	56	8
4	74	8
5	80	8
done	80	8

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

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 y x (* 3 (* z z)))
17.0ms	(* 3 (* z z))

series104.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(fma y x (* 3 (* z z)))
34.0ms	(* 3 (* z z))

simplify2.7s

Counts

37 → 37

Iterations

Useful iterations: 3 (203.0ms)

Iter	Nodes	Cost
0	51	312
1	102	296
2	246	260
3	603	254
4	1323	254
done	5000	254

prune116.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

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 y x (* (* 3 z) z))
18.0ms	(* (* 3 z) z)

series112.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(fma y x (* (* 3 z) z))
43.0ms	(* (* 3 z) z)

simplify3.6s

Counts

36 → 36

Iterations

Useful iterations: 4 (1.3s)

Iter	Nodes	Cost
0	53	307
1	116	291
2	374	253
3	854	247
4	1752	246
done	5000	246

prune143.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

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

rewrite145.0ms

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:

1.0ms	(fma y x (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))))
104.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
36.0ms	(* (cbrt 3) (* z z))

series385.0ms

Counts

3 → 9

Calls

3 calls:

150.0ms	(fma y x (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))))
153.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
81.0ms	(* (cbrt 3) (* z z))

simplify6.7s

Counts

74 → 74

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	85	954
1	182	923
2	619	629
3	2114	487
done	5000	487

prune218.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite302.0ms

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:

17.0ms	(* (cbrt (sqrt 3)) z)
13.0ms	(* (cbrt (sqrt 3)) z)
204.0ms	(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt (sqrt 3)) z) (* (cbrt (sqrt 3)) z)))
55.0ms	(* (* (cbrt (sqrt 3)) z) (* (cbrt (sqrt 3)) z))

series1.8s

Counts

4 → 12

Calls

4 calls:

379.0ms	(* (cbrt (sqrt 3)) z)
418.0ms	(* (cbrt (sqrt 3)) z)
491.0ms	(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt (sqrt 3)) z) (* (cbrt (sqrt 3)) z)))
488.0ms	(* (* (cbrt (sqrt 3)) z) (* (cbrt (sqrt 3)) z))

simplify1.4s

Counts

164 → 164

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	113	2087
1	273	1884
2	1229	1384
done	5001	1308

prune455.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes103.0ms

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	7	8
1	9	8
done	9	8

end0.0ms

sample1.2s

Algorithm

intervals

Results

571.0ms

12223×

body

valid