Details

sample23.0ms

Algorithm

intervals

Results

6.0ms	310×	body	80	nan
6.0ms	272×	body	80	valid

simplify154.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (3.0ms)

Iter	Nodes	Cost
0	7	8
1	13	8
2	25	7
3	42	7
4	65	7
5	86	7
6	103	7
7	124	7
8	147	7
9	154	7
10	162	7
11	170	7
done	170	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma y (sqrt x) (- 1.0 x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`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

1 → 10

Calls

1 calls:

0.0ms

(fma y (sqrt x) (- 1.0 x))

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(fma y (sqrt x) (- 1.0 x))

simplify2.2s

Counts

13 → 13

Iterations

Useful iterations: 4 (166.0ms)

Iter	Nodes	Cost
0	26	126
1	53	123
2	118	109
3	305	109
4	994	106
5	4383	106
done	5000	106

prune40.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (fma y (sqrt x) (- 1.0 x)))
0.4b	(cbrt (fma y (sqrt x) (- 1.0 x)))
0.4b	(cbrt (fma y (sqrt x) (- 1.0 x)))
0.4b	(* (cbrt (fma y (sqrt x) (- 1.0 x))) (cbrt (fma y (sqrt x) (- 1.0 x))))

rewrite9.0ms

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:

0.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
0.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
0.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
6.0ms	(* (cbrt (fma y (sqrt x) (- 1.0 x))) (cbrt (fma y (sqrt x) (- 1.0 x))))

series691.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
171.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
169.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
179.0ms	(* (cbrt (fma y (sqrt x) (- 1.0 x))) (cbrt (fma y (sqrt x) (- 1.0 x))))

simplify1.0s

Counts

93 → 93

Iterations

Useful iterations: done (999.0ms)

Iter	Nodes	Cost
0	122	1832
1	281	1697
2	716	1540
3	2029	1332
done	5000	1278

prune280.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (fma y (sqrt x) (- 1.0 x)))
0.4b	(cbrt (fma y (sqrt x) (- 1.0 x)))
0.4b	(* (cbrt (fma y (sqrt x) (- 1.0 x))) (cbrt (fma y (sqrt x) (- 1.0 x))))
0.4b	(* (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))) (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

76×	`cbrt-prod`
52×	`add-sqr-sqrt`
26×	`add-cube-cbrt` `*-un-lft-identity`
18×	`pow1`
15×	`swap-sqr` `associate-r` `associate-l`
14×	`pow1/3`
13×	`unswap-sqr`
8×	`add-exp-log`
4×	`expm1-log1p-u` `pow-prod-down` `pow-sqr` `pow-prod-up` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 124

Calls

4 calls:

0.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
0.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
6.0ms	(* (cbrt (fma y (sqrt x) (- 1.0 x))) (cbrt (fma y (sqrt x) (- 1.0 x))))
9.0ms	(* (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))) (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))))

series773.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
181.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
222.0ms	(* (cbrt (fma y (sqrt x) (- 1.0 x))) (cbrt (fma y (sqrt x) (- 1.0 x))))
188.0ms	(* (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))) (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))))

simplify1.4s

Counts

136 → 136

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	192	3139
1	432	2901
2	1170	2682
3	3384	2245
done	5000	2241

prune463.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (fma y (sqrt x) (- 1.0 x)))
0.4b	(cbrt (fma y (sqrt x) (- 1.0 x)))
0.4b	(* (cbrt (fma y (sqrt x) (- 1.0 x))) (cbrt (fma y (sqrt x) (- 1.0 x))))
0.7b	(pow (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))) 4)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

31×	`cbrt-prod`
26×	`add-sqr-sqrt`
18×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
9×	`unpow-prod-down` `pow1/3`
7×	`add-exp-log`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-unpow`
2×	`pow-pow` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-plus` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `sqr-pow`

Counts

4 → 94

Calls

4 calls:

0.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
0.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
6.0ms	(* (cbrt (fma y (sqrt x) (- 1.0 x))) (cbrt (fma y (sqrt x) (- 1.0 x))))
3.0ms	(pow (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))) 4)

series805.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
178.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
203.0ms	(* (cbrt (fma y (sqrt x) (- 1.0 x))) (cbrt (fma y (sqrt x) (- 1.0 x))))
239.0ms	(pow (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))) 4)

simplify1.5s

Counts

106 → 106

Iterations

Useful iterations: 3 (627.0ms)

Iter	Nodes	Cost
0	193	2138
1	456	1980
2	1169	1768
3	3447	1572
done	5001	1572

prune395.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0.0b

regimes92.0ms

Accuracy

0% (0.0b 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	7
done	6	7

end0.0ms

sample598.0ms

Algorithm

intervals

Results

177.0ms	8562×	body	80	valid
167.0ms	8553×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid