Details

sample20.0ms

Algorithm

intervals

Results

8.0ms	314×	body	80	valid
1.0ms	11×	body	640	valid
1.0ms	6×	body	1280	valid
0.0ms	3×	body	160	valid
0.0ms	2×	body	320	valid

simplify103.0ms

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

4.0ms	(- 2.0 (* x 3.0))
14.0ms	(* 3.0 (- 2.0 (* x 3.0)))
24.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

series237.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(- 2.0 (* x 3.0))
89.0ms	(* 3.0 (- 2.0 (* x 3.0)))
93.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify1.3s

Counts

65 → 65

Iterations

Iter	Nodes
done	5001
2	1208
1	235
0	90

prune266.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

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:

7.0ms	(- 6.0 (* 9.0 x))
22.0ms	(* (- 6.0 (* 9.0 x)) x)

series165.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(- 6.0 (* 9.0 x))
114.0ms	(* (- 6.0 (* 9.0 x)) x)

simplify817.0ms

Counts

38 → 38

Iterations

Iter	Nodes
done	5000
2	661
1	140
0	57

prune192.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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))

rewrite56.0ms

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:

7.0ms	(- 2.0 (* x 3.0))
19.0ms	(* (- 2.0 (* x 3.0)) x)
29.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

series261.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(- 2.0 (* x 3.0))
86.0ms	(* (- 2.0 (* x 3.0)) x)
117.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

simplify1.6s

Counts

61 → 61

Iterations

Iter	Nodes
done	5000
2	960
1	212
0	86

prune272.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 2.0 (* x 3.0))
0.1b	(* (- 2.0 (* x 3.0)) x)
0.2b	(* (* (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))

rewrite143.0ms

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:

4.0ms	(- 2.0 (* x 3.0))
15.0ms	(* (- 2.0 (* x 3.0)) x)
82.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
39.0ms	(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

series621.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(- 2.0 (* x 3.0))
113.0ms	(* (- 2.0 (* x 3.0)) x)
267.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
194.0ms	(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

simplify1.5s

Counts

97 → 97

Iterations

Iter	Nodes
done	5002
2	1594
1	328
0	123

prune368.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes74.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	10
1	10
0	7

end0.0ms

sample880.0ms

Algorithm

intervals

Results

487.0ms	9836×	body	80	valid
75.0ms	267×	body	640	valid
53.0ms	327×	body	1280	valid
14.0ms	145×	body	320	valid
4.0ms	58×	body	160	valid