Details

sample24.0ms

Algorithm

intervals

Results

9.0ms	300×	body	80	valid
2.0ms	16×	body	1280	valid
1.0ms	8×	body	640	valid
0.0ms	5×	body	160	valid
0.0ms	3×	body	320	valid

simplify280.0ms

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: 0.3b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 54

Calls

2 calls:

20.0ms	(* 3.0 (- 2.0 (* x 3.0)))
49.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

series224.0ms

Counts

2 → 6

Calls

2 calls:

83.0ms	(* 3.0 (- 2.0 (* x 3.0)))
141.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify1.2s

Counts

60 → 60

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	102	712
1	256	704
2	1271	608
done	5001	588

prune530.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 32

Calls

1 calls:

25.0ms

(* x (- 6.0 (* x 9.0)))

series133.0ms

Counts

1 → 3

Calls

1 calls:

133.0ms

(* x (- 6.0 (* x 9.0)))

simplify619.0ms

Counts

35 → 35

Iterations

Useful iterations: done (618.0ms)

Iter	Nodes	Cost
0	71	411
1	174	408
2	721	364
done	5000	349

prune96.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt`
6×	`associate-l`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`associate-r` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `associate-r/` `-commutative` `flip--` `log1p-expm1-u` `add-log-exp`
1×	`unswap-sqr`

Counts

2 → 44

Calls

2 calls:

26.0ms	(* (- 2.0 (* x 3.0)) x)
37.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

series265.0ms

Counts

2 → 6

Calls

2 calls:

147.0ms	(* (- 2.0 (* x 3.0)) x)
118.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

simplify720.0ms

Counts

50 → 50

Iterations

Useful iterations: done (717.0ms)

Iter	Nodes	Cost
0	78	563
1	195	557
2	938	479
done	5000	461

prune167.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (- 2.0 (* x 3.0)) x)
0.4b	(* (sqrt 3.0) (* (- 2.0 (* x 3.0)) x))
0.4b	(* (sqrt 3.0) (* (sqrt 3.0) (* (- 2.0 (* x 3.0)) x)))

rewrite256.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1` `add-exp-log` `add-cbrt-cube`
15×	`associate-l`
11×	`add-sqr-sqrt`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r/` `associate-l/` `sqrt-prod`
5×	`associate-r`
3×	`expm1-log1p-u` `flip3--` `*-commutative` `flip--` `log1p-expm1-u` `add-log-exp`
1×	`unswap-sqr`

Counts

3 → 75

Calls

3 calls:

21.0ms	(* (- 2.0 (* x 3.0)) x)
67.0ms	(* (sqrt 3.0) (* (- 2.0 (* x 3.0)) x))
164.0ms	(* (sqrt 3.0) (* (sqrt 3.0) (* (- 2.0 (* x 3.0)) x)))

series665.0ms

Counts

3 → 9

Calls

3 calls:

105.0ms	(* (- 2.0 (* x 3.0)) x)
267.0ms	(* (sqrt 3.0) (* (- 2.0 (* x 3.0)) x))
293.0ms	(* (sqrt 3.0) (* (sqrt 3.0) (* (- 2.0 (* x 3.0)) x)))

simplify1.2s

Counts

84 → 84

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	109	1199
1	291	1041
2	1678	892
done	5000	875

prune241.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes35.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
done	8	7

end0.0ms

sample1.0s

Algorithm

intervals

Results

598.0ms	9852×	body	80	valid
61.0ms	334×	body	1280	valid
49.0ms	323×	body	640	valid
19.0ms	121×	body	320	valid
6.0ms	80×	body	160	valid