Details

sample20.0ms

Algorithm

intervals

Results

8.0ms	311×	body	80	valid
1.0ms	10×	body	1280	valid
1.0ms	10×	body	640	valid
0.0ms	7×	body	320	valid
0.0ms	4×	body	160	valid

simplify120.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	221
6	221
5	216
4	166
3	76
2	32
1	14
0	7

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

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)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 56

Calls

3 calls:

7.0ms	(- 2.0 (* x 3.0))
37.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
14.0ms	(* 3.0 (- 2.0 (* x 3.0)))

series246.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(- 2.0 (* x 3.0))
103.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
89.0ms	(* 3.0 (- 2.0 (* x 3.0)))

simplify1.2s

Counts

65 → 65

Iterations

Iter	Nodes
done	5000
2	1205
1	235
0	90

prune284.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

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

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

Counts

2 → 32

Calls

2 calls:

6.0ms	(- 6.0 (* 9.0 x))
22.0ms	(* (- 6.0 (* 9.0 x)) x)

series152.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(- 6.0 (* 9.0 x))
106.0ms	(* (- 6.0 (* 9.0 x)) x)

simplify912.0ms

Counts

38 → 38

Iterations

Iter	Nodes
done	5000
2	661
1	140
0	57

prune158.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 2.0 (* x 3.0))
0.2b	(* (* (sqrt 3.0) (* (sqrt 3.0) (- 2.0 (* x 3.0)))) x)
0.2b	(* (sqrt 3.0) (- 2.0 (* x 3.0)))
0.8b	(* (sqrt 3.0) (* (sqrt 3.0) (- 2.0 (* x 3.0))))

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

4.0ms	(- 2.0 (* x 3.0))
84.0ms	(* (* (sqrt 3.0) (* (sqrt 3.0) (- 2.0 (* x 3.0)))) x)
26.0ms	(* (sqrt 3.0) (- 2.0 (* x 3.0)))
36.0ms	(* (sqrt 3.0) (* (sqrt 3.0) (- 2.0 (* x 3.0))))

series614.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(- 2.0 (* x 3.0))
315.0ms	(* (* (sqrt 3.0) (* (sqrt 3.0) (- 2.0 (* x 3.0)))) x)
112.0ms	(* (sqrt 3.0) (- 2.0 (* x 3.0)))
127.0ms	(* (sqrt 3.0) (* (sqrt 3.0) (- 2.0 (* x 3.0))))

simplify2.0s

Counts

106 → 106

Iterations

Iter	Nodes
done	5001
2	2260
1	364
0	126

prune365.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 2.0 (* 3.0 x))
0.2b	(* (* x 3.0) (- 2.0 (* 3.0 x)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

4.0ms	(- 2.0 (* 3.0 x))
33.0ms	(* (* x 3.0) (- 2.0 (* 3.0 x)))

series148.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(- 2.0 (* 3.0 x))
97.0ms	(* (* x 3.0) (- 2.0 (* 3.0 x)))

simplify1.6s

Counts

42 → 42

Iterations

Iter	Nodes
done	5000
2	1481
1	199
0	69

prune184.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes68.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	6

end0.0ms

sample715.0ms

Algorithm

intervals

Results

401.0ms	9852×	body	80	valid
96.0ms	354×	body	1280	valid
30.0ms	255×	body	640	valid
12.0ms	142×	body	320	valid
7.0ms	98×	body	160	valid