Details

sample58.0ms

Algorithm

intervals

Results

14.0ms	270×	body	80	valid
14.0ms	273×	body	80	nan

simplify243.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

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))

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

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

simplify1.0s

Counts

13 → 13

Iterations

Useful iterations: 4 (309.0ms)

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

prune75.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

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

rewrite22.0ms

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:

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)))
13.0ms	(* (cbrt (fma y (sqrt x) (- 1.0 x))) (cbrt (fma y (sqrt x) (- 1.0 x))))

series934.0ms

Counts

4 → 12

Calls

4 calls:

231.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
221.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
220.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
262.0ms	(* (cbrt (fma y (sqrt x) (- 1.0 x))) (cbrt (fma y (sqrt x) (- 1.0 x))))

simplify2.0s

Counts

93 → 93

Iterations

Useful iterations: done (2.0s)

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

prune438.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

81×	`cbrt-prod`
40×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3` `swap-sqr` `associate-r` `associate-l` `unswap-sqr`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 104

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))))
26.0ms	(* (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))) (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))))

series1.0s

Counts

4 → 12

Calls

4 calls:

248.0ms	(cbrt (cbrt (fma y (sqrt x) (- 1.0 x))))
247.0ms	(cbrt (cbrt (fma y (sqrt x) (- 1.0 x))))
268.0ms	(cbrt (cbrt (fma y (sqrt x) (- 1.0 x))))
252.0ms	(* (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))) (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))))

simplify2.4s

Counts

116 → 116

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	141	2624
1	301	2473
2	754	2302
3	1873	2033
done	5000	1915

prune522.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize42.0ms

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 (fma y (sqrt x) (- 1.0 x)))) (pow (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))) 1))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

69×	`cbrt-prod`
44×	`add-sqr-sqrt`
18×	`unpow-prod-down`
17×	`add-cube-cbrt` `*-un-lft-identity`
15×	`unswap-sqr`
13×	`associate-r`
9×	`add-exp-log` `associate-l`
7×	`pow1`
5×	`add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `sqr-pow`
3×	`pow1/3` `prod-exp`
1×	`pow-to-exp` `pow-prod-down` `pow-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod`

Counts

4 → 102

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))))
44.0ms	(* (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))) (pow (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))) 1))

series1.1s

Counts

4 → 12

Calls

4 calls:

269.0ms	(cbrt (cbrt (fma y (sqrt x) (- 1.0 x))))
265.0ms	(cbrt (cbrt (fma y (sqrt x) (- 1.0 x))))
229.0ms	(cbrt (cbrt (fma y (sqrt x) (- 1.0 x))))
287.0ms	(* (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))) (pow (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))) 1))

simplify3.3s

Counts

114 → 114

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	166	2758
1	349	2349
2	990	2082
3	3696	2008
done	5001	1937

prune526.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes85.0ms

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

sample2.0s

Algorithm

intervals

Results

925.0ms	8527×	body	80	nan
438.0ms	8539×	body	80	valid