Details

sample36.0ms

Algorithm

intervals

Results

18.0ms

386×

body

valid

simplify81.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (26.0ms)

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

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

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)))
28.0ms	(* 3 (* z z))

series114.0ms

Counts

2 → 6

Calls

2 calls:

85.0ms	(fma y x (* 3 (* z z)))
28.0ms	(* 3 (* z z))

simplify3.0s

Counts

37 → 37

Iterations

Useful iterations: 3 (244.0ms)

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

prune150.0ms

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)

rewrite21.0ms

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:

1.0ms	(fma y x (* (* 3 z) z))
19.0ms	(* (* 3 z) z)

series116.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(fma y x (* (* 3 z) z))
52.0ms	(* (* 3 z) z)

simplify3.5s

Counts

36 → 36

Iterations

Useful iterations: 4 (1.5s)

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

prune104.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize16.0ms

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))

rewrite121.0ms

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 y x (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))))
87.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
31.0ms	(* (cbrt 3) (* z z))

series382.0ms

Counts

3 → 9

Calls

3 calls:

168.0ms	(fma y x (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))))
154.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
59.0ms	(* (cbrt 3) (* z z))

simplify6.9s

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

prune196.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite381.0ms

Algorithm

rewrite-expression-head

Rules

156×	`pow1`
81×	`pow-prod-down`
61×	`add-exp-log`
51×	`add-cbrt-cube`
41×	`prod-exp` `cbrt-unprod`
24×	`add-sqr-sqrt`
20×	`associate-l`
18×	`pow-prod-up`
16×	`sqrt-prod`
12×	`add-cube-cbrt` `*-un-lft-identity` `pow-plus` `pow-sqr`
8×	`cbrt-prod` `associate-r`
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:

23.0ms	(* (sqrt (cbrt 3)) z)
25.0ms	(* (sqrt (cbrt 3)) z)
270.0ms	(* (* (cbrt 3) (cbrt 3)) (* (* (sqrt (cbrt 3)) z) (* (sqrt (cbrt 3)) z)))
55.0ms	(* (* (sqrt (cbrt 3)) z) (* (sqrt (cbrt 3)) z))

series421.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(* (sqrt (cbrt 3)) z)
101.0ms	(* (sqrt (cbrt 3)) z)
129.0ms	(* (* (cbrt 3) (cbrt 3)) (* (* (sqrt (cbrt 3)) z) (* (sqrt (cbrt 3)) z)))
76.0ms	(* (* (sqrt (cbrt 3)) z) (* (sqrt (cbrt 3)) z))

simplify2.8s

Counts

164 → 164

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	107	2165
1	252	1633
2	1098	1137
done	5000	1014

prune436.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes112.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	9	8
done	9	8

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.0s

12223×

body

valid