Details

sample22.0ms

Algorithm

intervals

Results

5.0ms	269×	body	80	valid
5.0ms	281×	body	80	nan

simplify146.0ms

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	166	7
done	166	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

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))

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

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

simplify2.3s

Counts

13 → 13

Iterations

Useful iterations: 4 (153.0ms)

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

prune37.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

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))))

series658.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
160.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
160.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
173.0ms	(* (cbrt (fma y (sqrt x) (- 1.0 x))) (cbrt (fma y (sqrt x) (- 1.0 x))))

simplify888.0ms

Counts

93 → 93

Iterations

Useful iterations: done (885.0ms)

Iter	Nodes	Cost
0	122	1832
1	281	1693
2	716	1540
3	2025	1332
done	5001	1278

prune259.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

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))))
0.6b	(pow (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))) 4)

rewrite11.0ms

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)

series725.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
167.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
175.0ms	(* (cbrt (fma y (sqrt x) (- 1.0 x))) (cbrt (fma y (sqrt x) (- 1.0 x))))
215.0ms	(pow (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))) 4)

simplify1.2s

Counts

106 → 106

Iterations

Useful iterations: 3 (577.0ms)

Iter	Nodes	Cost
0	193	2138
1	456	1895
2	1174	1765
3	3418	1586
done	5000	1586

prune392.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize28.0ms

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 (cbrt (fma y (sqrt x) (- 1.0 x)))))
0.6b	(pow (cbrt (pow (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))) 2)) 4)
0.6b	(pow (cbrt (cbrt (cbrt (fma y (sqrt x) (- 1.0 x))))) 4)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

75×	`cbrt-prod`
38×	`unpow-prod-down`
34×	`add-sqr-sqrt`
26×	`add-cube-cbrt` `*-un-lft-identity`
13×	`pow1`
9×	`pow1/3`
8×	`add-exp-log`
6×	`pow-unpow` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `pow-pow` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`sqr-pow`
2×	`pow-to-exp` `pow-prod-down` `pow-exp` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unpow2`

Counts

4 → 124

Calls

4 calls:

6.0ms	(* (cbrt (fma y (sqrt x) (- 1.0 x))) (cbrt (fma y (sqrt x) (- 1.0 x))))
1.0ms	(cbrt (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))))
7.0ms	(pow (cbrt (pow (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))) 2)) 4)
4.0ms	(pow (cbrt (cbrt (cbrt (fma y (sqrt x) (- 1.0 x))))) 4)

series840.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(* (cbrt (fma y (sqrt x) (- 1.0 x))) (cbrt (fma y (sqrt x) (- 1.0 x))))
180.0ms	(cbrt (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))))
253.0ms	(pow (cbrt (pow (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))) 2)) 4)
224.0ms	(pow (cbrt (cbrt (cbrt (fma y (sqrt x) (- 1.0 x))))) 4)

simplify1.5s

Counts

136 → 136

Iterations

Useful iterations: 3 (773.0ms)

Iter	Nodes	Cost
0	291	3095
1	683	2756
2	1630	2617
3	4319	2390
done	5000	2390

prune633.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes82.0ms

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

sample601.0ms

Algorithm

intervals

Results

170.0ms	8539×	body	80	nan
167.0ms	8517×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid