Details

sample20.0ms

Algorithm

intervals

Results

8.0ms	316×	body	80	valid
1.0ms	12×	body	1280	valid
1.0ms	11×	body	640	valid
0.0ms	6×	body	320	valid
0.0ms	2×	body	160	valid

simplify191.0ms

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: 0.3b

localize13.0ms

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)

rewrite80.0ms

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)))
40.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

series289.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(- 2.0 (* x 3.0))
87.0ms	(* 3.0 (- 2.0 (* x 3.0)))
146.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify3.5s

Counts

83 → 83

Iterations

Useful iterations: done (3.5s)

Iter	Nodes	Cost
0	113	917
1	252	903
2	751	779
3	2993	761
done	5001	706

prune234.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

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:

8.0ms	(- 6.0 (* 9.0 x))
20.0ms	(* (- 6.0 (* 9.0 x)) x)

series189.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(- 6.0 (* 9.0 x))
128.0ms	(* (- 6.0 (* 9.0 x)) x)

simplify2.4s

Counts

48 → 48

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	71	458
1	160	449
2	464	398
3	1545	388
done	5000	370

prune119.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 30

Calls

2 calls:

0.0ms	(fma x (- 9.0) 6.0)
11.0ms	(* (fma x (- 9.0) 6.0) x)

series236.0ms

Counts

2 → 6

Calls

2 calls:

103.0ms	(fma x (- 9.0) 6.0)
133.0ms	(* (fma x (- 9.0) 6.0) x)

simplify4.7s

Counts

36 → 36

Iterations

Useful iterations: 3 (323.0ms)

Iter	Nodes	Cost
0	47	320
1	89	317
2	262	279
3	931	273
4	4404	273
done	5000	273

prune121.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

12.0ms	(- 2.0 (* x 3.0))
36.0ms	(* (- 2.0 (* x 3.0)) x)
52.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

series282.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(- 2.0 (* x 3.0))
107.0ms	(* (- 2.0 (* x 3.0)) x)
116.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

simplify3.4s

Counts

73 → 73

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	101	768
1	233	756
2	752	650
3	3196	634
done	5002	615

prune166.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes33.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	10	9
done	10	9

end0.0ms

sample1.3s

Algorithm

intervals

Results

951.0ms	9962×	body	80	valid
94.0ms	321×	body	1280	valid
40.0ms	283×	body	640	valid
15.0ms	142×	body	320	valid
4.0ms	57×	body	160	valid