Details

sample53.0ms

Algorithm

intervals

Results

25.0ms

366×

body

valid

simplify38.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	8	9
1	14	7
2	24	7
3	47	7
4	65	7
done	65	7

prune9.0ms

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 (fma x y z) y t)

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 (fma x y z) y t)

series103.0ms

Counts

1 → 3

Calls

1 calls:

103.0ms

(fma (fma x y z) y t)

simplify1.1s

Counts

13 → 13

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	23	129
1	40	124
2	85	106
3	271	106
4	1475	106
done	5002	106

prune75.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t)))
0.5b	(cbrt (fma (fma x y z) y t))
0.5b	(cbrt (fma (fma x y z) y t))
0.5b	(cbrt (fma (fma x y z) y t))

rewrite33.0ms

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:

23.0ms	(* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t)))
2.0ms	(cbrt (fma (fma x y z) y t))
2.0ms	(cbrt (fma (fma x y z) y t))
2.0ms	(cbrt (fma (fma x y z) y t))

series940.0ms

Counts

4 → 12

Calls

4 calls:

248.0ms	(* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t)))
228.0ms	(cbrt (fma (fma x y z) y t))
242.0ms	(cbrt (fma (fma x y z) y t))
222.0ms	(cbrt (fma (fma x y z) y t))

simplify1.6s

Counts

93 → 93

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	107	1641
1	245	1509
2	670	1368
3	1871	1177
done	5001	1142

prune397.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (fma x y z) y t))
0.6b	(cbrt (cbrt (fma (fma x y z) y t)))
0.6b	(cbrt (cbrt (fma (fma x y z) y t)))
0.6b	(cbrt (cbrt (fma (fma x y z) y t)))

rewrite19.0ms

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 (fma x y z) y t))
2.0ms	(cbrt (cbrt (fma (fma x y z) y t)))
2.0ms	(cbrt (cbrt (fma (fma x y z) y t)))
10.0ms	(cbrt (cbrt (fma (fma x y z) y t)))

series779.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(cbrt (fma (fma x y z) y t))
199.0ms	(cbrt (cbrt (fma (fma x y z) y t)))
221.0ms	(cbrt (cbrt (fma (fma x y z) y t)))
185.0ms	(cbrt (cbrt (fma (fma x y z) y t)))

simplify4.1s

Counts

73 → 73

Iterations

Useful iterations: 4 (1.9s)

Iter	Nodes	Cost
0	86	1145
1	197	1112
2	499	1007
3	1454	974
4	4478	910
done	5000	910

prune430.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (fma x y z) y t))
0.5b	(cbrt (fma (fma x y z) y t))
0.6b	(cbrt (cbrt (fma (fma x y z) y t)))
0.8b	(pow (cbrt (cbrt (fma (fma x y z) y t))) 4)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

1.0ms	(cbrt (fma (fma x y z) y t))
1.0ms	(cbrt (fma (fma x y z) y t))
3.0ms	(cbrt (cbrt (fma (fma x y z) y t)))
8.0ms	(pow (cbrt (cbrt (fma (fma x y z) y t))) 4)

series1.0s

Counts

4 → 12

Calls

4 calls:

217.0ms	(cbrt (fma (fma x y z) y t))
212.0ms	(cbrt (fma (fma x y z) y t))
201.0ms	(cbrt (cbrt (fma (fma x y z) y t)))
419.0ms	(pow (cbrt (cbrt (fma (fma x y z) y t))) 4)

simplify1.9s

Counts

80 → 80

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	132	1285
1	313	1183
2	781	1084
3	2297	1028
done	5000	978

prune327.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0.0b

regimes223.0ms

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

sample1.4s

Algorithm

intervals

Results

610.0ms

11320×

body

valid