Details

sample43.0ms

Algorithm

intervals

Results

16.0ms

341×

body

valid

simplify5.0s

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	6	7
1	10	7
2	19	6
3	35	6
4	60	6
5	86	6
6	100	6
7	121	6
8	275	6
9	819	6
10	3981	6
done	5000	6

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma z (- y x) 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 z (- y x) x)

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

(fma z (- y x) x)

simplify2.5s

Counts

13 → 13

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	19	116
1	32	113
2	67	95
3	269	95
4	1907	95
done	5000	95

prune85.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma z (- y x) x)) (cbrt (fma z (- y x) x)))
0.6b	(cbrt (fma z (- y x) x))
0.6b	(cbrt (fma z (- y x) x))
0.6b	(cbrt (fma z (- y x) x))

rewrite32.0ms

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 z (- y x) x)) (cbrt (fma z (- y x) x)))
2.0ms	(cbrt (fma z (- y x) x))
2.0ms	(cbrt (fma z (- y x) x))
2.0ms	(cbrt (fma z (- y x) x))

series1.1s

Counts

4 → 12

Calls

4 calls:

375.0ms	(* (cbrt (fma z (- y x) x)) (cbrt (fma z (- y x) x)))
259.0ms	(cbrt (fma z (- y x) x))
251.0ms	(cbrt (fma z (- y x) x))
255.0ms	(cbrt (fma z (- y x) x))

simplify7.0s

Counts

93 → 93

Iterations

Useful iterations: done (7.0s)

Iter	Nodes	Cost
0	97	1430
1	249	1310
2	890	1202
3	4855	1051
done	5000	1048

prune635.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma z (- y x) x)) (cbrt (fma z (- y x) x)))
0.6b	(cbrt (fma z (- y x) x))
0.6b	(cbrt (fma z (- y x) x))
2.3b	(pow (fma z (- y x) x) 1/3)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`cbrt-prod`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
8×	`pow1/3`
7×	`add-exp-log`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`unpow-prod-down` `pow-unpow`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-pow` `pow-plus` `unpow1/3` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `sqr-pow`

Counts

4 → 88

Calls

4 calls:

28.0ms	(* (cbrt (fma z (- y x) x)) (cbrt (fma z (- y x) x)))
2.0ms	(cbrt (fma z (- y x) x))
2.0ms	(cbrt (fma z (- y x) x))
5.0ms	(pow (fma z (- y x) x) 1/3)

series1.0s

Counts

4 → 12

Calls

4 calls:

345.0ms	(* (cbrt (fma z (- y x) x)) (cbrt (fma z (- y x) x)))
223.0ms	(cbrt (fma z (- y x) x))
240.0ms	(cbrt (fma z (- y x) x))
232.0ms	(pow (fma z (- y x) x) 1/3)

simplify4.5s

Counts

100 → 100

Iterations

Useful iterations: done (4.5s)

Iter	Nodes	Cost
0	122	1518
1	354	1209
2	2343	1074
done	5001	1040

prune862.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes224.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
done	5	6

end0.0ms

sample1.7s

Algorithm

intervals

Results

579.0ms

10150×

body

valid