Details

sample23.0ms

Algorithm

intervals

Results

10.0ms	316×	body	80	valid
1.0ms	9×	body	1280	valid
1.0ms	11×	body	640	valid
0.0ms	2×	body	320	valid

simplify95.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	164
5	164
4	139
3	74
2	31
1	14
0	7

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

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)))

rewrite70.0ms

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:

6.0ms	(- 2.0 (* x 3.0))
39.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
22.0ms	(* 3.0 (- 2.0 (* x 3.0)))

series246.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(- 2.0 (* x 3.0))
112.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
86.0ms	(* 3.0 (- 2.0 (* x 3.0)))

simplify3.0s

Counts

65 → 65

Iterations

Iter	Nodes
done	5003
3	4258
2	747
1	234
0	90

prune269.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

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)

rewrite31.0ms

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:

8.0ms	(- 6.0 (* 9.0 x))
22.0ms	(* (- 6.0 (* 9.0 x)) x)

series172.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(- 6.0 (* 9.0 x))
112.0ms	(* (- 6.0 (* 9.0 x)) x)

simplify1.7s

Counts

38 → 38

Iterations

Iter	Nodes
done	5011
3	2061
2	419
1	140
0	57

prune120.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

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))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 52

Calls

3 calls:

4.0ms	(- 2.0 (* x 3.0))
13.0ms	(* (- 2.0 (* x 3.0)) x)
24.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

series257.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(- 2.0 (* x 3.0))
105.0ms	(* (- 2.0 (* x 3.0)) x)
105.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

simplify3.2s

Counts

61 → 61

Iterations

Iter	Nodes
done	5014
3	3940
2	681
1	211
0	86

prune185.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 2.0 (* x 3.0))
0.1b	(* (- 2.0 (* x 3.0)) x)
0.3b	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
0.4b	(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

6.0ms	(- 2.0 (* x 3.0))
23.0ms	(* (- 2.0 (* x 3.0)) x)
81.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
23.0ms	(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

series588.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(- 2.0 (* x 3.0))
76.0ms	(* (- 2.0 (* x 3.0)) x)
237.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
220.0ms	(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

simplify1.4s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
2	1217
1	321
0	123

prune323.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes73.0ms

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

sample894.0ms

Algorithm

intervals

Results

517.0ms	9850×	body	80	valid
81.0ms	269×	body	640	valid
67.0ms	340×	body	1280	valid
18.0ms	151×	body	320	valid
5.0ms	62×	body	160	valid