Details

sample38.0ms

Algorithm

intervals

Results

10.0ms	273×	body	80	valid
9.0ms	266×	body	80	nan

simplify278.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

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

prune11.0ms

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))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

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

simplify1.2s

Counts

13 → 13

Iterations

Useful iterations: 4 (410.0ms)

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

prune63.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (fma y (sqrt x) (- 1.0 x)))
0.3b	(cbrt (fma y (sqrt x) (- 1.0 x)))
0.3b	(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))))

rewrite27.0ms

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:

1.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
1.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
1.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
22.0ms	(* (cbrt (fma y (sqrt x) (- 1.0 x))) (cbrt (fma y (sqrt x) (- 1.0 x))))

series991.0ms

Counts

4 → 12

Calls

4 calls:

258.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
220.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
221.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
292.0ms	(* (cbrt (fma y (sqrt x) (- 1.0 x))) (cbrt (fma y (sqrt x) (- 1.0 x))))

simplify2.2s

Counts

93 → 93

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	122	1832
1	281	1693
2	726	1540
3	1894	1332
done	5000	1223

prune330.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize45.0ms

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 (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))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
26×	`add-sqr-sqrt`
18×	`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 → 90

Calls

4 calls:

23.0ms	(* (cbrt (fma y (sqrt x) (- 1.0 x))) (cbrt (fma y (sqrt x) (- 1.0 x))))
3.0ms	(cbrt (cbrt (fma y (sqrt x) (- 1.0 x))))
3.0ms	(cbrt (cbrt (fma y (sqrt x) (- 1.0 x))))
3.0ms	(cbrt (cbrt (fma y (sqrt x) (- 1.0 x))))

series962.0ms

Counts

4 → 12

Calls

4 calls:

266.0ms	(* (cbrt (fma y (sqrt x) (- 1.0 x))) (cbrt (fma y (sqrt x) (- 1.0 x))))
240.0ms	(cbrt (cbrt (fma y (sqrt x) (- 1.0 x))))
210.0ms	(cbrt (cbrt (fma y (sqrt x) (- 1.0 x))))
246.0ms	(cbrt (cbrt (fma y (sqrt x) (- 1.0 x))))

simplify2.3s

Counts

102 → 102

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	137	2069
1	311	1933
2	809	1771
3	2173	1581
done	5000	1466

prune569.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize49.0ms

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 59

Calls

4 calls:

3.0ms	(cbrt (cbrt (fma y (sqrt x) (- 1.0 x))))
3.0ms	(cbrt (cbrt (fma y (sqrt x) (- 1.0 x))))
3.0ms	(cbrt (cbrt (fma y (sqrt x) (- 1.0 x))))
25.0ms	(cbrt (* (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))) (cbrt (cbrt (fma y (sqrt x) (- 1.0 x))))))

series972.0ms

Counts

4 → 12

Calls

4 calls:

244.0ms	(cbrt (cbrt (fma y (sqrt x) (- 1.0 x))))
278.0ms	(cbrt (cbrt (fma y (sqrt x) (- 1.0 x))))
216.0ms	(cbrt (cbrt (fma y (sqrt x) (- 1.0 x))))
234.0ms	(cbrt (* (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))) (cbrt (cbrt (fma y (sqrt x) (- 1.0 x))))))

simplify2.3s

Counts

71 → 71

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	115	1442
1	266	1407
2	658	1270
3	1794	1232
done	5001	1111

prune467.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes130.0ms

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

sample1.6s

Algorithm

intervals

Results

509.0ms	8558×	body	80	valid
504.0ms	8653×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid