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

simplify304.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	278
7	278
6	276
5	264
4	191
3	82
2	32
1	14
0	7

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize14.0ms

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)

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 74

Calls

3 calls:

10.0ms	(- 2.0 (* x 3.0))
29.0ms	(* 3.0 (- 2.0 (* x 3.0)))
28.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

series284.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(- 2.0 (* x 3.0))
86.0ms	(* 3.0 (- 2.0 (* x 3.0)))
155.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify1.5s

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
2	1361
1	280
0	113

prune367.0ms

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)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

9.0ms	(- 6.0 (* 9.0 x))
18.0ms	(* (- 6.0 (* 9.0 x)) x)

series152.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(- 6.0 (* 9.0 x))
84.0ms	(* (- 6.0 (* 9.0 x)) x)

simplify953.0ms

Counts

48 → 48

Iterations

Iter	Nodes
done	5001
2	838
1	165
0	71

prune283.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x 6.0) (* (* x x) 9.0))
0.2b	(* (* x x) 9.0)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

13.0ms	(- (* x 6.0) (* (* x x) 9.0))
28.0ms	(* (* x x) 9.0)

series168.0ms

Counts

2 → 6

Calls

2 calls:

125.0ms	(- (* x 6.0) (* (* x x) 9.0))
43.0ms	(* (* x x) 9.0)

simplify1.5s

Counts

43 → 43

Iterations

Iter	Nodes
done	5001
2	1214
1	197
0	71

prune197.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (cbrt 9.0) x)
0.1b	(* (cbrt 9.0) x)
0.2b	(* (* (* (cbrt 9.0) x) (* (cbrt 9.0) x)) (cbrt 9.0))
0.3b	(* (* (cbrt 9.0) x) (* (cbrt 9.0) x))

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

65×	`pow1`
38×	`add-exp-log`
32×	`pow-prod-down`
23×	`add-cbrt-cube` `prod-exp` `cbrt-unprod`
22×	`add-sqr-sqrt`
14×	`associate-l`
13×	`associate-r`
12×	`cbrt-prod` `*-un-lft-identity` `add-cube-cbrt`
6×	`unswap-sqr`
4×	`expm1-log1p-u` `pow-sqr` `*-commutative` `pow-prod-up` `log1p-expm1-u` `add-log-exp`
2×	`pow-plus`
1×	`pow2` `swap-sqr`

Counts

4 → 118

Calls

4 calls:

10.0ms	(* (cbrt 9.0) x)
7.0ms	(* (cbrt 9.0) x)
121.0ms	(* (* (* (cbrt 9.0) x) (* (cbrt 9.0) x)) (cbrt 9.0))
30.0ms	(* (* (cbrt 9.0) x) (* (cbrt 9.0) x))

series416.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (cbrt 9.0) x)
77.0ms	(* (cbrt 9.0) x)
132.0ms	(* (* (* (cbrt 9.0) x) (* (cbrt 9.0) x)) (cbrt 9.0))
145.0ms	(* (* (cbrt 9.0) x) (* (cbrt 9.0) x))

simplify1.6s

Counts

130 → 130

Iterations

Iter	Nodes
done	5000
2	1725
1	243
0	93

prune642.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes56.0ms

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	9
1	9
0	7

end0.0ms

sample1.3s

Algorithm

intervals

Results

526.0ms	267×	body	640	valid
433.0ms	9836×	body	80	valid
56.0ms	327×	body	1280	valid
15.0ms	145×	body	320	valid
4.0ms	58×	body	160	valid