Details

sample35.0ms

Algorithm

intervals

Results

13.0ms

365×

body

valid

simplify44.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	8	9
1	14	7
2	24	7
3	49	7
4	81	7
5	89	7
done	89	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

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:

0.0ms

(fma (fma x y z) y t)

series70.0ms

Counts

1 → 3

Calls

1 calls:

70.0ms

(fma (fma x y z) y t)

simplify2.4s

Counts

13 → 13

Iterations

Useful iterations: 4 (369.0ms)

Iter	Nodes	Cost
0	23	129
1	40	124
2	105	110
3	391	108
4	3054	106
done	5000	106

prune39.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

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

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 (fma x y z) y t)) (cbrt (fma (fma x y z) y t)))
1.0ms	(cbrt (fma (fma x y z) y t))
1.0ms	(cbrt (fma (fma x y z) y t))
1.0ms	(cbrt (fma (fma x y z) y t))

series861.0ms

Counts

4 → 12

Calls

4 calls:

241.0ms	(* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t)))
188.0ms	(cbrt (fma (fma x y z) y t))
199.0ms	(cbrt (fma (fma x y z) y t))
232.0ms	(cbrt (fma (fma x y z) y t))

simplify858.0ms

Counts

93 → 93

Iterations

Useful iterations: done (855.0ms)

Iter	Nodes	Cost
0	107	1641
1	268	1509
2	928	1368
done	5000	1232

prune425.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (fma x y z) y t))
0.6b	(cbrt (fma y (fma x y z) t))
0.6b	(pow (cbrt (fma y (fma x y z) t)) (* 2 3))
29.9b	(cbrt (pow (cbrt (fma y (fma x y z) t)) (* 2 3)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
12×	`unpow-prod-down`
11×	`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 → 67

Calls

4 calls:

1.0ms	(cbrt (fma (fma x y z) y t))
1.0ms	(cbrt (fma y (fma x y z) t))
6.0ms	(pow (cbrt (fma y (fma x y z) t)) (* 2 3))
6.0ms	(cbrt (pow (cbrt (fma y (fma x y z) t)) (* 2 3)))

series893.0ms

Counts

4 → 12

Calls

4 calls:

229.0ms	(cbrt (fma (fma x y z) y t))
168.0ms	(cbrt (fma y (fma x y z) t))
303.0ms	(pow (cbrt (fma y (fma x y z) t)) (* 2 3))
193.0ms	(cbrt (pow (cbrt (fma y (fma x y z) t)) (* 2 3)))

simplify2.5s

Counts

79 → 79

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	130	1336
1	299	1127
2	847	1044
3	3593	922
done	5001	917

prune404.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma y (fma x y z) t))
0.6b	(cbrt (fma (fma x y z) y t))
0.7b	(pow (cbrt (fma y (fma x y z) t)) 4)
15.4b	(cbrt (pow (cbrt (fma y (fma x y z) t)) 4))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
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` `sqr-pow`
1×	`pow-to-exp` `pow-exp`

Counts

4 → 69

Calls

4 calls:

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

series937.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(cbrt (fma y (fma x y z) t))
220.0ms	(cbrt (fma (fma x y z) y t))
309.0ms	(pow (cbrt (fma y (fma x y z) t)) 4)
212.0ms	(cbrt (pow (cbrt (fma y (fma x y z) t)) 4))

simplify4.6s

Counts

81 → 81

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	135	1239
1	321	1179
2	953	1059
3	4478	1013
done	5000	1013

prune613.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes219.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
done	6	7

end0.0ms

sample1.8s

Algorithm

intervals

Results

618.0ms

11091×

body

valid