Details

sample46.0ms

Algorithm

intervals

Results

13.0ms	276×	body	80	valid
9.0ms	222×	body	80	nan

simplify252.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	7	8
1	13	8
2	25	7
3	44	7
4	65	7
5	88	7
6	105	7
7	126	7
8	149	7
9	156	7
10	171	7
done	171	7

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

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))

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

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

simplify1.1s

Counts

13 → 13

Iterations

Useful iterations: 4 (376.0ms)

Iter	Nodes	Cost
0	26	126
1	53	123
2	119	109
3	312	109
4	1214	106
done	5000	106

prune78.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

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:

24.0ms	(* (cbrt (fma y (sqrt x) (- 1.0 x))) (cbrt (fma y (sqrt x) (- 1.0 x))))
2.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
2.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
2.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))

series1.1s

Counts

4 → 12

Calls

4 calls:

252.0ms	(* (cbrt (fma y (sqrt x) (- 1.0 x))) (cbrt (fma y (sqrt x) (- 1.0 x))))
248.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
283.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
295.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))

simplify2.8s

Counts

93 → 93

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	122	1832
1	281	1693
2	727	1540
3	1892	1332
done	5001	1223

prune470.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
12×	`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 → 68

Calls

4 calls:

1.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
1.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
1.0ms	(cbrt (cbrt (fma y (sqrt x) (- 1.0 x))))
5.0ms	(pow (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))) 4)

series1.1s

Counts

4 → 12

Calls

4 calls:

247.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
231.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
246.0ms	(cbrt (cbrt (fma y (sqrt x) (- 1.0 x))))
329.0ms	(pow (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))) 4)

simplify2.1s

Counts

80 → 80

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	155	1465
1	378	1358
2	927	1244
3	2436	1197
done	5000	1110

prune430.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
14×	`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 → 74

Calls

4 calls:

1.0ms	(cbrt (cbrt (fma y (sqrt x) (- 1.0 x))))
1.0ms	(cbrt (cbrt (fma y (sqrt x) (- 1.0 x))))
1.0ms	(cbrt (cbrt (fma y (sqrt x) (- 1.0 x))))
10.0ms	(pow (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))) 4)

series1.1s

Counts

4 → 12

Calls

4 calls:

252.0ms	(cbrt (cbrt (fma y (sqrt x) (- 1.0 x))))
306.0ms	(cbrt (cbrt (fma y (sqrt x) (- 1.0 x))))
204.0ms	(cbrt (cbrt (fma y (sqrt x) (- 1.0 x))))
368.0ms	(pow (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))) 4)

simplify2.1s

Counts

86 → 86

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	123	1623
1	286	1502
2	676	1380
3	1725	1345
done	5001	1210

prune444.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes123.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b 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

sample1.5s

Algorithm

intervals

Results

533.0ms	8562×	body	80	valid
358.0ms	8672×	body	80	nan
0.0ms	1×	body	640	valid