Details

sample22.0ms

Algorithm

intervals

Results

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

simplify180.0ms

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

prune7.0ms

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))

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

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

simplify2.5s

Counts

13 → 13

Iterations

Useful iterations: 4 (167.0ms)

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

prune39.0ms

Pruning

3 alts after pruning (2 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)))
1.0ms	(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))))

series657.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
159.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
162.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
172.0ms	(* (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 (1.0s)

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

prune278.0ms

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)

series728.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
160.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
176.0ms	(* (cbrt (fma y (sqrt x) (- 1.0 x))) (cbrt (fma y (sqrt x) (- 1.0 x))))
219.0ms	(pow (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))) 4)

simplify1.5s

Counts

106 → 106

Iterations

Useful iterations: 3 (610.0ms)

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

prune408.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize24.0ms

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)

rewrite24.0ms

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)

series832.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(* (cbrt (fma y (sqrt x) (- 1.0 x))) (cbrt (fma y (sqrt x) (- 1.0 x))))
176.0ms	(cbrt (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))))
252.0ms	(pow (cbrt (pow (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))) 2)) 4)
226.0ms	(pow (cbrt (cbrt (cbrt (fma y (sqrt x) (- 1.0 x))))) 4)

simplify2.0s

Counts

136 → 136

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	291	3095
1	684	2789
2	1650	2619
3	4585	2376
done	5000	2372

prune649.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes91.0ms

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

sample601.0ms

Algorithm

intervals

Results

174.0ms	8517×	body	80	valid
167.0ms	8539×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid