Details

sample55.0ms

Algorithm

intervals

Results

15.0ms	272×	body	80	valid
15.0ms	278×	body	80	nan

simplify267.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

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))

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

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

simplify1.1s

Counts

13 → 13

Iterations

Useful iterations: 4 (339.0ms)

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

prune84.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (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)))

rewrite16.0ms

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:

12.0ms	(* (cbrt (fma y (sqrt x) (- 1.0 x))) (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)))
1.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))

series1.1s

Counts

4 → 12

Calls

4 calls:

283.0ms	(* (cbrt (fma y (sqrt x) (- 1.0 x))) (cbrt (fma y (sqrt x) (- 1.0 x))))
241.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
279.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
263.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))

simplify2.3s

Counts

93 → 93

Iterations

Useful iterations: done (2.3s)

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

prune374.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize39.0ms

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)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`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 → 52

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

series1.0s

Counts

4 → 12

Calls

4 calls:

245.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
252.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
278.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
261.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))

simplify3.7s

Counts

64 → 64

Iterations

Useful iterations: done (3.7s)

Iter	Nodes	Cost
0	61	1080
1	140	1040
2	329	936
3	868	892
4	2855	784
done	5000	772

prune423.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (sqrt (fma y (sqrt x) (- 1.0 x))))
0.3b	(* (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)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
24×	`add-sqr-sqrt`
16×	`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`
3×	`sqrt-prod`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 84

Calls

4 calls:

2.0ms	(cbrt (sqrt (fma y (sqrt x) (- 1.0 x))))
17.0ms	(* (cbrt (fma y (sqrt x) (- 1.0 x))) (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)))

series1.0s

Counts

4 → 12

Calls

4 calls:

264.0ms	(cbrt (sqrt (fma y (sqrt x) (- 1.0 x))))
285.0ms	(* (cbrt (fma y (sqrt x) (- 1.0 x))) (cbrt (fma y (sqrt x) (- 1.0 x))))
249.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
231.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))

simplify2.7s

Counts

96 → 96

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	165	1911
1	382	1764
2	984	1608
3	2652	1412
done	5000	1337

prune416.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes118.0ms

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

sample1.8s

Algorithm

intervals

Results

937.0ms	8550×	body	80	nan
407.0ms	8559×	body	80	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	1280	valid