Details

sample32.0ms

Algorithm

intervals

Results

13.0ms	303×	body	80	valid
2.0ms	15×	body	640	valid
2.0ms	8×	body	1280	valid
1.0ms	6×	body	320	valid
0.0ms	1×	body	160	valid

simplify203.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize11.0ms

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)))

rewrite87.0ms

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:

6.0ms	(- 2.0 (* x 3.0))
48.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
31.0ms	(* 3.0 (- 2.0 (* x 3.0)))

series203.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(- 2.0 (* x 3.0))
87.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
60.0ms	(* 3.0 (- 2.0 (* x 3.0)))

simplify942.0ms

Counts

83 → 83

Iterations

Useful iterations: done (939.0ms)

Iter	Nodes	Cost
0	113	917
1	281	903
2	1385	783
done	5002	771

prune170.0ms

Pruning

7 alts after pruning (7 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	(* (- 6.0 (* 9.0 x)) x)

rewrite48.0ms

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:

12.0ms	(- 6.0 (* 9.0 x))
34.0ms	(* (- 6.0 (* 9.0 x)) x)

series157.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(- 6.0 (* 9.0 x))
106.0ms	(* (- 6.0 (* 9.0 x)) x)

simplify747.0ms

Counts

48 → 48

Iterations

Useful iterations: done (743.0ms)

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

prune146.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 6.0 x) (* 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` `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:

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

series163.0ms

Counts

2 → 6

Calls

2 calls:

125.0ms	(- (* 6.0 x) (* 9.0 (pow x 2)))
36.0ms	(* 9.0 (pow x 2))

simplify809.0ms

Counts

51 → 51

Iterations

Useful iterations: done (807.0ms)

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

prune105.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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))))
12.0ms	(* 9.0 (pow x 2))

series118.0ms

Counts

2 → 6

Calls

2 calls:

91.0ms	(fma 6.0 x (- (* 9.0 (pow x 2))))
26.0ms	(* 9.0 (pow x 2))

simplify3.7s

Counts

45 → 45

Iterations

Useful iterations: done (3.7s)

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

prune144.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes34.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample902.0ms

Algorithm

intervals

Results

482.0ms	9808×	body	80	valid
87.0ms	311×	body	1280	valid
42.0ms	295×	body	640	valid
16.0ms	156×	body	320	valid
4.0ms	60×	body	160	valid