Details

sample39.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
9.0ms	236×	body	80	nan

simplify57.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	11	14
1	22	12
2	44	11
3	63	11
4	67	11
5	68	11
done	68	11

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 19.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (+ y z))
0.8b	(fma y z (* x (+ y z)))
18.0b	(sqrt (fma y z (* x (+ y z))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 50

Calls

3 calls:

20.0ms	(* x (+ y z))
0.0ms	(fma y z (* x (+ y z)))
2.0ms	(sqrt (fma y z (* x (+ y z))))

series198.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(* x (+ y z))
28.0ms	(fma y z (* x (+ y z)))
132.0ms	(sqrt (fma y z (* x (+ y z))))

simplify1.8s

Counts

59 → 59

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	91	581
1	220	532
2	621	483
3	2012	479
done	5000	478

prune222.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 19.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.8b	(fma y z (+ (* x y) (* x z)))
1.0b	(+ (* x y) (* x z))
18.0b	(sqrt (fma y z (+ (* x y) (* x z))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-log-exp`
4×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
3×	`add-exp-log` `expm1-log1p-u` `sqrt-prod` `add-cbrt-cube` `log1p-expm1-u`
1×	`+-commutative` `rem-sqrt-square` `fma-def` `sqrt-pow1` `flip3-+` `pow1/2` `sum-log` `flip-+` `fma-udef` `distribute-lft-out`

Counts

3 → 40

Calls

3 calls:

1.0ms	(fma y z (+ (* x y) (* x z)))
16.0ms	(+ (* x y) (* x z))
3.0ms	(sqrt (fma y z (+ (* x y) (* x z))))

series227.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(fma y z (+ (* x y) (* x z)))
58.0ms	(+ (* x y) (* x z))
138.0ms	(sqrt (fma y z (+ (* x y) (* x z))))

simplify2.4s

Counts

49 → 49

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	75	620
1	199	478
2	623	437
3	2176	432
done	5000	430

prune183.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 19.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.8b	(fma y z (* x (+ y z)))
0.8b	(fma y z (* x (+ y z)))
18.0b	(sqrt (fma y z (* x (+ y z))))
18.0b	(sqrt (fma y z (* x (+ y z))))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `fma-udef`

Counts

4 → 50

Calls

4 calls:

0.0ms	(fma y z (* x (+ y z)))
0.0ms	(fma y z (* x (+ y z)))
2.0ms	(sqrt (fma y z (* x (+ y z))))
2.0ms	(sqrt (fma y z (* x (+ y z))))

series337.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(fma y z (* x (+ y z)))
28.0ms	(fma y z (* x (+ y z)))
131.0ms	(sqrt (fma y z (* x (+ y z))))
152.0ms	(sqrt (fma y z (* x (+ y z))))

simplify2.6s

Counts

62 → 62

Iterations

Useful iterations: 4 (1.4s)

Iter	Nodes	Cost
0	51	750
1	106	674
2	243	616
3	749	608
4	3241	602
done	5000	602

prune325.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 19.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.8b	(fma y z (* x (+ y z)))
18.0b	(sqrt (fma y z (* x (+ y z))))
18.5b	(cbrt (fma y z (* x (+ y z))))
18.5b	(cbrt (fma y z (* x (+ y z))))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod`
5×	`pow1`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-prod`
2×	`pow1/3`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `fma-udef`

Counts

4 → 51

Calls

4 calls:

1.0ms	(fma y z (* x (+ y z)))
3.0ms	(sqrt (fma y z (* x (+ y z))))
2.0ms	(cbrt (fma y z (* x (+ y z))))
2.0ms	(cbrt (fma y z (* x (+ y z))))

series888.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(fma y z (* x (+ y z)))
149.0ms	(sqrt (fma y z (* x (+ y z))))
322.0ms	(cbrt (fma y z (* x (+ y z))))
389.0ms	(cbrt (fma y z (* x (+ y z))))

simplify3.5s

Counts

63 → 63

Iterations

Useful iterations: 4 (2.0s)

Iter	Nodes	Cost
0	82	801
1	176	757
2	393	690
3	1127	676
4	4214	657
done	5000	657

prune367.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 19.0b

regimes197.0ms

Accuracy

0% (0.1b remaining)

Error of 19.8b against oracle of 19.7b and baseline of 19.8b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	14	13
done	14	13

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.0s	7981×	body	80	nan
679.0ms	8000×	body	80	valid