Details

sample18.0ms

Algorithm

intervals

Results

6.0ms	306×	body	80	valid
1.0ms	10×	body	1280	valid
0.0ms	7×	body	640	valid
0.0ms	9×	body	320	valid
0.0ms	4×	body	160	valid

simplify127.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize6.0ms

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)))

rewrite65.0ms

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:

7.0ms	(- 2.0 (* x 3.0))
31.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
24.0ms	(* 3.0 (- 2.0 (* x 3.0)))

series203.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(- 2.0 (* x 3.0))
98.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
67.0ms	(* 3.0 (- 2.0 (* x 3.0)))

simplify2.2s

Counts

83 → 83

Iterations

Useful iterations: done (2.2s)

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

prune171.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

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:

7.0ms	(- 6.0 (* 9.0 x))
20.0ms	(* x (- 6.0 (* 9.0 x)))

series128.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(- 6.0 (* 9.0 x))
81.0ms	(* x (- 6.0 (* 9.0 x)))

simplify1.5s

Counts

58 → 58

Iterations

Useful iterations: done (1.5s)

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

prune120.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

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))

rewrite24.0ms

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:

10.0ms	(+ (* x 6.0) (- (* 9.0 (pow x 2))))
13.0ms	(* 9.0 (pow x 2))

series108.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(+ (* x 6.0) (- (* 9.0 (pow x 2))))
26.0ms	(* 9.0 (pow x 2))

simplify2.3s

Counts

53 → 53

Iterations

Useful iterations: done (2.3s)

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

prune121.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma x 6.0 (- (* 9.0 (pow x 2))))
0.2b	(* 9.0 (pow x 2))

rewrite17.0ms

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))))
15.0ms	(* 9.0 (pow x 2))

series106.0ms

Counts

2 → 6

Calls

2 calls:

79.0ms	(fma x 6.0 (- (* 9.0 (pow x 2))))
27.0ms	(* 9.0 (pow x 2))

simplify1.3s

Counts

45 → 45

Iterations

Useful iterations: done (1.3s)

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

prune89.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes27.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	17	16
2	27	16
done	27	16

end0.0ms

sample415.0ms

Algorithm

intervals

Results

190.0ms	9734×	body	80	valid
30.0ms	337×	body	1280	valid
19.0ms	291×	body	640	valid
7.0ms	135×	body	320	valid
3.0ms	86×	body	160	valid