Details

sample53.0ms

Algorithm

intervals

Results

12.0ms	274×	body	80	valid
12.0ms	281×	body	80	nan

simplify4.0s

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	72	7
5	162	7
6	506	7
7	1673	7
done	5000	7

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

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:

1.0ms

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

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

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

simplify1.3s

Counts

13 → 13

Iterations

Useful iterations: 4 (345.0ms)

Iter	Nodes	Cost
0	26	126
1	53	123
2	119	109
3	339	109
4	1760	106
done	5000	106

prune69.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

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))))
0.3b	(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)))

rewrite36.0ms

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:

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

281.0ms	(* (cbrt (fma y (sqrt x) (- 1.0 x))) (cbrt (fma y (sqrt x) (- 1.0 x))))
252.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
268.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
223.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))

simplify1.4s

Counts

93 → 93

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	122	1832
1	301	1693
2	991	1540
done	5001	1401

prune548.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b	(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))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
11×	`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 → 61

Calls

4 calls:

2.0ms	(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))))

series985.0ms

Counts

4 → 12

Calls

4 calls:

263.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
250.0ms	(cbrt (cbrt (fma y (sqrt x) (- 1.0 x))))
236.0ms	(cbrt (cbrt (fma y (sqrt x) (- 1.0 x))))
236.0ms	(cbrt (cbrt (fma y (sqrt x) (- 1.0 x))))

simplify1.6s

Counts

73 → 73

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	102	1317
1	240	1280
2	594	1167
3	1742	1141
done	5001	1053

prune502.0ms

Pruning

6 alts after pruning (4 fresh and 2 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 (cbrt (fma y (sqrt x) (- 1.0 x)))))
0.4b	(cbrt (cbrt (pow (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))) (* 2 3))))
0.8b	(pow (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))) (* 2 3))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

74×	`cbrt-prod`
18×	`unpow-prod-down`
17×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-pow` `sqr-pow`
1×	`pow-to-exp` `pow-unpow` `pow-exp`

Counts

4 → 85

Calls

4 calls:

3.0ms	(cbrt (cbrt (fma y (sqrt x) (- 1.0 x))))
4.0ms	(cbrt (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))))
9.0ms	(cbrt (cbrt (pow (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))) (* 2 3))))
6.0ms	(pow (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))) (* 2 3))

series1.1s

Counts

4 → 12

Calls

4 calls:

246.0ms	(cbrt (cbrt (fma y (sqrt x) (- 1.0 x))))
294.0ms	(cbrt (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))))
238.0ms	(cbrt (cbrt (pow (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))) (* 2 3))))
332.0ms	(pow (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))) (* 2 3))

simplify923.0ms

Counts

97 → 97

Iterations

Useful iterations: done (918.0ms)

Iter	Nodes	Cost
0	237	2244
1	570	1959
2	1525	1776
done	5000	1709

prune956.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes287.0ms

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

507.0ms	8577×	body	80	nan
402.0ms	8516×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	1280	valid