Details

sample17.0ms

Algorithm

intervals

Results

6.0ms	235×	body	80	valid
1.0ms	7×	body	640	valid
1.0ms	5×	body	1280	valid
0.0ms	3×	body	2560	valid
0.0ms	5×	body	320	valid
0.0ms	1×	body	160	valid

simplify249.0ms

Counts

1 → 1

Iterations

Useful iterations: 5 (121.0ms)

Iter	Nodes	Cost
0	8	11
1	20	11
2	57	9
3	139	8
4	212	8
5	240	7
6	246	7
done	246	7

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma y 2 (fma 3 x z))
0.1b	(fma 3 x z)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

2 → 20

Calls

2 calls:

0.0ms	(fma y 2 (fma 3 x z))
0.0ms	(fma 3 x z)

series53.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(fma y 2 (fma 3 x z))
26.0ms	(fma 3 x z)

simplify926.0ms

Counts

26 → 26

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	31	204
1	40	198
2	87	173
3	290	173
4	1222	173
done	5000	173

prune69.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma y 2 (+ (* 3 x) z))
0.0b	(+ (* 3 x) z)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-log-exp`
2×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u`
1×	`+-commutative` `fma-def` `flip3-+` `sum-log` `flip-+` `fma-udef`

Counts

2 → 24

Calls

2 calls:

0.0ms	(fma y 2 (+ (* 3 x) z))
3.0ms	(+ (* 3 x) z)

series52.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(fma y 2 (+ (* 3 x) z))
25.0ms	(+ (* 3 x) z)

simplify1.3s

Counts

30 → 30

Iterations

Useful iterations: 4 (421.0ms)

Iter	Nodes	Cost
0	43	274
1	110	236
2	277	209
3	771	209
4	2436	208
done	5000	208

prune77.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma 3 x z)) (cbrt (fma 3 x z)))
0.6b	(cbrt (fma 3 x z))
0.6b	(cbrt (fma 3 x z))
0.6b	(cbrt (fma 3 x z))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt (fma 3 x z)) (cbrt (fma 3 x z)))
1.0ms	(cbrt (fma 3 x z))
1.0ms	(cbrt (fma 3 x z))
1.0ms	(cbrt (fma 3 x z))

series817.0ms

Counts

4 → 12

Calls

4 calls:

218.0ms	(* (cbrt (fma 3 x z)) (cbrt (fma 3 x z)))
200.0ms	(cbrt (fma 3 x z))
199.0ms	(cbrt (fma 3 x z))
200.0ms	(cbrt (fma 3 x z))

simplify2.2s

Counts

93 → 93

Iterations

Useful iterations: 4 (1.1s)

Iter	Nodes	Cost
0	101	1122
1	205	1030
2	509	950
3	1367	847
4	3939	814
done	5001	814

prune311.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma 3 x z))
0.6b	(cbrt (fma 3 x z))
0.6b	(cbrt (fma 3 x z))
0.8b	(pow (cbrt (cbrt (fma 3 x z))) 4)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 65

Calls

4 calls:

0.0ms	(cbrt (fma 3 x z))
0.0ms	(cbrt (fma 3 x z))
1.0ms	(cbrt (fma 3 x z))
3.0ms	(pow (cbrt (cbrt (fma 3 x z))) 4)

series955.0ms

Counts

4 → 12

Calls

4 calls:

222.0ms	(cbrt (fma 3 x z))
219.0ms	(cbrt (fma 3 x z))
220.0ms	(cbrt (fma 3 x z))
294.0ms	(pow (cbrt (cbrt (fma 3 x z))) 4)

simplify1.1s

Counts

77 → 77

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	111	861
1	238	818
2	546	754
3	1458	727
done	5001	725

prune346.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes107.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
done	7	7

end0.0ms

sample382.0ms

Algorithm

intervals

Results

176.0ms	7421×	body	80	valid
18.0ms	184×	body	1280	valid
14.0ms	180×	body	640	valid
8.0ms	131×	body	320	valid
4.0ms	34×	body	2560	valid
3.0ms	60×	body	160	valid