Details

sample24.0ms

Algorithm

intervals

Results

10.0ms	336×	body	80	valid
1.0ms	4×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

simplify1.7s

Counts

1 → 1

Iterations

Useful iterations: 3 (28.0ms)

Iter	Nodes	Cost
0	12	15
1	31	14
2	85	12
3	234	11
4	558	11
5	971	11
6	1141	11
7	1155	11
done	1155	11

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`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

2 → 20

Calls

2 calls:

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

series78.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(fma 2 (+ y z) t)
55.0ms	(fma x (fma 2 (+ y z) t) (* y 5.0))

simplify1.4s

Counts

26 → 26

Iterations

Useful iterations: 3 (68.0ms)

Iter	Nodes	Cost
0	44	313
1	77	298
2	194	258
3	645	251
4	3134	251
done	5001	251

prune93.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 2 x) (+ y z))
0.1b	(fma y 5.0 (* (* 2 x) (+ y z)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

13.0ms	(* (* 2 x) (+ y z))
0.0ms	(fma y 5.0 (* (* 2 x) (+ y z)))

series89.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(* (* 2 x) (+ y z))
45.0ms	(fma y 5.0 (* (* 2 x) (+ y z)))

simplify2.6s

Counts

41 → 41

Iterations

Useful iterations: 2 (116.0ms)

Iter	Nodes	Cost
0	75	466
1	196	435
2	801	370
3	3534	370
done	5000	370

prune91.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 2 (+ y z) t)
0.0b	(fma x (fma 2 (+ y z) t) (* y 5.0))
0.3b	(pow (fma x (fma 2 (+ y z) t) (* y 5.0)) 3)
38.1b	(cbrt (pow (fma x (fma 2 (+ y z) t) (* y 5.0)) 3))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`cube-mult` `unpow3` `fma-udef` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 68

Calls

4 calls:

0.0ms	(fma 2 (+ y z) t)
0.0ms	(fma x (fma 2 (+ y z) t) (* y 5.0))
4.0ms	(pow (fma x (fma 2 (+ y z) t) (* y 5.0)) 3)
2.0ms	(cbrt (pow (fma x (fma 2 (+ y z) t) (* y 5.0)) 3))

series650.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(fma 2 (+ y z) t)
54.0ms	(fma x (fma 2 (+ y z) t) (* y 5.0))
518.0ms	(pow (fma x (fma 2 (+ y z) t) (* y 5.0)) 3)
54.0ms	(cbrt (pow (fma x (fma 2 (+ y z) t) (* y 5.0)) 3))

simplify2.1s

Counts

80 → 80

Iterations

Useful iterations: 3 (522.0ms)

Iter	Nodes	Cost
0	112	1489
1	245	1274
2	784	1099
3	4120	1083
done	5000	1083

prune221.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes80.0ms

Accuracy

0% (0.1b 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	10	11
1	12	11
done	12	11

end0.0ms

sample612.0ms

Algorithm

intervals

Results

318.0ms	10657×	body	80	valid
11.0ms	104×	body	640	valid
10.0ms	77×	body	1280	valid
6.0ms	71×	body	320	valid
2.0ms	35×	body	160	valid