Details

sample29.0ms

Algorithm

intervals

Results

14.0ms	363×	body	80	valid
0.0ms	4×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	320	valid

simplify2.0s

Counts

1 → 1

Iterations

Useful iterations: 3 (25.0ms)

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

localize9.0ms

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))

series88.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(fma 2 (+ y z) t)
58.0ms	(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

prune83.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

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:

6.0ms	(* (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))) (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))))
0.0ms	(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)))

series1.4s

Counts

4 → 12

Calls

4 calls:

451.0ms	(* (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))) (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))))
333.0ms	(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
319.0ms	(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
316.0ms	(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))

simplify1.1s

Counts

93 → 93

Iterations

Useful iterations: 3 (426.0ms)

Iter	Nodes	Cost
0	147	2618
1	323	2445
2	835	2252
3	2583	1792
done	5001	1792

prune351.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

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:

16.0ms	(* (* 2 x) (+ y z))
0.0ms	(fma y 5.0 (* (* 2 x) (+ y z)))

series92.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(* (* 2 x) (+ y z))
47.0ms	(fma y 5.0 (* (* 2 x) (+ y z)))

simplify2.7s

Counts

41 → 41

Iterations

Useful iterations: 2 (128.0ms)

Iter	Nodes	Cost
0	75	466
1	196	435
2	805	370
3	3576	370
done	5000	370

prune98.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`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 → 52

Calls

4 calls:

1.0ms	(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
0.0ms	(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)))

series1.4s

Counts

4 → 12

Calls

4 calls:

351.0ms	(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
358.0ms	(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
356.0ms	(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
327.0ms	(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))

simplify2.1s

Counts

64 → 64

Iterations

Useful iterations: 4 (988.0ms)

Iter	Nodes	Cost
0	75	1540
1	160	1504
2	383	1392
3	1144	1188
4	4427	1080
done	5000	1080

prune285.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes109.0ms

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

sample615.0ms

Algorithm

intervals

Results

326.0ms	10708×	body	80	valid
12.0ms	84×	body	1280	valid
11.0ms	97×	body	640	valid
5.0ms	65×	body	320	valid
1.0ms	24×	body	160	valid