Details

sample20.0ms

Algorithm

intervals

Results

8.0ms	318×	body	80	valid
1.0ms	9×	body	1280	valid
1.0ms	6×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	160	valid

simplify201.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	14	9
2	32	9
3	81	9
4	158	9
5	200	9
done	200	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 2.0 (* x 3.0))
0.1b	(* (* 3.0 (- 2.0 (* x 3.0))) x)
0.1b	(* 3.0 (- 2.0 (* x 3.0)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`prod-diff`
6×	`associate-r`
5×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp`
4×	`associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `sub-neg` `flip3--` `fma-neg` `flip--` `log1p-expm1-u`
2×	`associate-l/` `-commutative`
1×	`diff-log` `unswap-sqr`

Counts

3 → 74

Calls

3 calls:

16.0ms	(- 2.0 (* x 3.0))
43.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
19.0ms	(* 3.0 (- 2.0 (* x 3.0)))

series297.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(- 2.0 (* x 3.0))
153.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
97.0ms	(* 3.0 (- 2.0 (* x 3.0)))

simplify3.7s

Counts

83 → 83

Iterations

Useful iterations: done (3.7s)

Iter	Nodes	Cost
0	113	917
1	252	903
2	754	779
3	3052	761
done	5001	706

prune193.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 6.0 (* 9.0 x))
0.1b	(* x (- 6.0 (* 9.0 x)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 52

Calls

2 calls:

6.0ms	(- 6.0 (* 9.0 x))
28.0ms	(* x (- 6.0 (* 9.0 x)))

series153.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(- 6.0 (* 9.0 x))
111.0ms	(* x (- 6.0 (* 9.0 x)))

simplify2.4s

Counts

58 → 58

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	81	616
1	173	607
2	437	532
3	1425	520
done	5001	466

prune159.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 6.0) (- (* 9.0 (pow x 2))))
0.2b	(* 9.0 (pow x 2))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`associate-r`
7×	`add-exp-log`
6×	`add-log-exp`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `expm1-log1p-u` `sum-log` `log1p-expm1-u` `unpow2` `sqr-pow`
1×	`+-commutative` `neg-sub0` `pow-to-exp` `associate-+r-` `fma-def` `flip3-+` `unsub-neg` `neg-log` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 47

Calls

2 calls:

9.0ms	(+ (* x 6.0) (- (* 9.0 (pow x 2))))
26.0ms	(* 9.0 (pow x 2))

series140.0ms

Counts

2 → 6

Calls

2 calls:

107.0ms	(+ (* x 6.0) (- (* 9.0 (pow x 2))))
33.0ms	(* 9.0 (pow x 2))

simplify3.1s

Counts

53 → 53

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	86	510
1	217	454
2	701	399
3	3120	363
done	5000	360

prune169.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x 6.0 (- (* 9.0 (pow x 2))))
0.2b	(* 9.0 (pow x 2))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`associate-r`
7×	`add-exp-log`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `unpow2` `add-log-exp` `sqr-pow`
1×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

2 → 39

Calls

2 calls:

0.0ms	(fma x 6.0 (- (* 9.0 (pow x 2))))
27.0ms	(* 9.0 (pow x 2))

series160.0ms

Counts

2 → 6

Calls

2 calls:

122.0ms	(fma x 6.0 (- (* 9.0 (pow x 2))))
38.0ms	(* 9.0 (pow x 2))

simplify2.0s

Counts

45 → 45

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	68	394
1	132	371
2	284	320
3	889	294
done	5000	291

prune114.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes42.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	15	9
done	15	9

end0.0ms

sample891.0ms

Algorithm

intervals

Results

520.0ms	9791×	body	80	valid
80.0ms	275×	body	640	valid
60.0ms	349×	body	1280	valid
14.0ms	132×	body	320	valid
5.0ms	76×	body	160	valid