Details

sample24.0ms

Algorithm

intervals

Results

9.0ms	310×	body	80	valid
1.0ms	12×	body	640	valid
1.0ms	9×	body	1280	valid
1.0ms	8×	body	320	valid
0.0ms	2×	body	160	valid

simplify283.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	14	9
2	32	9
3	82	9
4	190	9
5	263	9
6	269	9
done	269	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite108.0ms

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:

15.0ms	(- 2.0 (* x 3.0))
47.0ms	(* 3.0 (- 2.0 (* x 3.0)))
42.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

series280.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(- 2.0 (* x 3.0))
86.0ms	(* 3.0 (- 2.0 (* x 3.0)))
140.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify1.1s

Counts

83 → 83

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	113	917
1	280	903
2	1366	785
done	5001	773

prune224.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

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

series185.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(- 6.0 (* 9.0 x))
128.0ms	(* (- 6.0 (* 9.0 x)) x)

simplify508.0ms

Counts

48 → 48

Iterations

Useful iterations: done (506.0ms)

Iter	Nodes	Cost
0	71	458
1	165	449
2	840	400
done	5000	388

prune139.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 6.0 x) (* 9.0 (pow x 2)))
0.3b	(* 9.0 (pow x 2))

rewrite31.0ms

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` `add-log-exp` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `unpow2` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `pow-exp` `*-commutative` `flip--` `cbrt-unprod`

Counts

2 → 45

Calls

2 calls:

11.0ms	(- (* 6.0 x) (* 9.0 (pow x 2)))
18.0ms	(* 9.0 (pow x 2))

series144.0ms

Counts

2 → 6

Calls

2 calls:

100.0ms	(- (* 6.0 x) (* 9.0 (pow x 2)))
44.0ms	(* 9.0 (pow x 2))

simplify894.0ms

Counts

51 → 51

Iterations

Useful iterations: done (892.0ms)

Iter	Nodes	Cost
0	83	510
1	203	467
2	824	421
done	5001	384

prune160.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma 6.0 x (- (* 9.0 (pow x 2))))
0.3b	(* 9.0 (pow x 2))

rewrite18.0ms

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 6.0 x (- (* 9.0 (pow x 2))))
17.0ms	(* 9.0 (pow x 2))

series186.0ms

Counts

2 → 6

Calls

2 calls:

146.0ms	(fma 6.0 x (- (* 9.0 (pow x 2))))
40.0ms	(* 9.0 (pow x 2))

simplify4.0s

Counts

45 → 45

Iterations

Useful iterations: done (4.0s)

Iter	Nodes	Cost
0	67	394
1	141	371
2	515	322
3	3595	294
done	5001	291

prune167.0ms

Pruning

5 alts after pruning (3 fresh and 2 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

sample900.0ms

Algorithm

intervals

Results

537.0ms	9974×	body	80	valid
51.0ms	319×	body	1280	valid
37.0ms	278×	body	640	valid
14.0ms	133×	body	320	valid
5.0ms	72×	body	160	valid