Details

sample61.0ms

Algorithm

intervals

Results

28.0ms	350×	body	80	valid
1.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid

simplify3.7s

Counts

1 → 1

Iterations

Useful iterations: 4 (702.0ms)

Iter	Nodes	Cost
0	12	15
1	31	14
2	89	14
3	280	12
4	744	11
5	1269	11
6	1442	11
7	1456	11
done	1456	11

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma x (fma 2 (+ y z) t) (* y 5.0))

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 x (fma 2 (+ y z) t) (* y 5.0))

series90.0ms

Counts

1 → 3

Calls

1 calls:

90.0ms

(fma x (fma 2 (+ y z) t) (* y 5.0))

simplify1.2s

Counts

13 → 13

Iterations

Useful iterations: 3 (110.0ms)

Iter	Nodes	Cost
0	30	197
1	56	191
2	133	163
3	378	156
4	1341	156
done	5000	156

prune72.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
0.5b	(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
0.5b	(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
0.6b	(* (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))) (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))))

rewrite22.0ms

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:

1.0ms	(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
1.0ms	(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
1.0ms	(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
18.0ms	(* (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))) (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))))

series1.8s

Counts

4 → 12

Calls

4 calls:

417.0ms	(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
426.0ms	(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
410.0ms	(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
539.0ms	(* (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))) (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))))

simplify1.7s

Counts

93 → 93

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	147	2618
1	323	2441
2	826	2252
3	2198	1792
done	5001	1678

prune445.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 2 (+ y z)) x)
0.0b	(fma y 5.0 (* (* 2 (+ y z)) x))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `associate-r/` `associate-l/` `log1p-expm1-u` `add-log-exp`
1×	`flip3-+` `associate-l` `*-commutative` `flip-+` `fma-udef`

Counts

2 → 32

Calls

2 calls:

57.0ms	(* (* 2 (+ y z)) x)
0.0ms	(fma y 5.0 (* (* 2 (+ y z)) x))

series113.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(* (* 2 (+ y z)) x)
61.0ms	(fma y 5.0 (* (* 2 (+ y z)) x))

simplify3.8s

Counts

38 → 38

Iterations

Useful iterations: 2 (250.0ms)

Iter	Nodes	Cost
0	74	431
1	199	410
2	834	341
3	3882	341
done	5001	341

prune156.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
0.5b	(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
0.6b	(pow (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))) 6)
33.3b	(cbrt (pow (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))) 6))

rewrite10.0ms

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 x (fma 2 (+ y z) t) (* y 5.0)))
1.0ms	(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
3.0ms	(pow (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))) 6)
3.0ms	(cbrt (pow (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))) 6))

series2.7s

Counts

4 → 12

Calls

4 calls:

439.0ms	(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
408.0ms	(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
1.2s	(pow (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))) 6)
578.0ms	(cbrt (pow (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))) 6))

simplify2.5s

Counts

81 → 81

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	189	2091
1	427	2001
2	1053	1771
3	3183	1515
done	5000	1433

prune481.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes161.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	12	11
done	12	11

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.4s	10660×	body	80	valid
27.0ms	84×	body	1280	valid
20.0ms	80×	body	640	valid
15.0ms	72×	body	320	valid
4.0ms	34×	body	160	valid