Details

sample23.0ms

Algorithm

intervals

Results

8.0ms	317×	body	80	valid
2.0ms	5×	body	640	valid
1.0ms	8×	body	1280	valid
1.0ms	9×	body	320	valid
0.0ms	3×	body	160	valid

simplify104.0ms

Counts

1 → 1

Iterations

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite85.0ms

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:

8.0ms	(- 2.0 (* x 3.0))
26.0ms	(* 3.0 (- 2.0 (* x 3.0)))
49.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

series309.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(- 2.0 (* x 3.0))
104.0ms	(* 3.0 (- 2.0 (* x 3.0)))
140.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify733.0ms

Counts

65 → 65

Iterations

Iter	Nodes
done	5001
2	1208
1	235
0	90

prune270.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 6.0 (* 9.0 x))
0.1b	(* x (- 6.0 (* 9.0 x)))

rewrite35.0ms

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×	`sub-neg` `associate-r` `associate-l`
2×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `associate-*r/` `flip--`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

7.0ms	(- 6.0 (* 9.0 x))
26.0ms	(* x (- 6.0 (* 9.0 x)))

series151.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(- 6.0 (* 9.0 x))
99.0ms	(* x (- 6.0 (* 9.0 x)))

simplify2.6s

Counts

42 → 42

Iterations

Iter	Nodes
done	5000
3	4782
2	621
1	151
0	59

prune185.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

8.0ms	(- 2.0 (* x 3.0))
29.0ms	(* x (- 2.0 (* x 3.0)))
42.0ms	(* 3.0 (* x (- 2.0 (* x 3.0))))

series270.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(- 2.0 (* x 3.0))
90.0ms	(* x (- 2.0 (* x 3.0)))
126.0ms	(* 3.0 (* x (- 2.0 (* x 3.0))))

simplify637.0ms

Counts

73 → 73

Iterations

Iter	Nodes
done	5001
2	1060
1	247
0	95

prune313.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`associate-r`
4×	`add-sqr-sqrt` `add-log-exp`
3×	`*-un-lft-identity` `pow-prod-down` `prod-exp` `distribute-rgt-neg-out` `add-cube-cbrt` `cbrt-unprod`
1×	`distribute-lft-neg-in` `+-commutative` `neg-mul-1` `sum-log` `distribute-rgt-neg-in` `flip3-+` `associate-l` `unsub-neg` `*-commutative` `flip-+` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

14.0ms	(+ (* 3.0 (* 2.0 x)) (* (* 3.0 3.0) (- (* x x))))
30.0ms	(* (* 3.0 3.0) (- (* x x)))

series165.0ms

Counts

2 → 6

Calls

2 calls:

130.0ms	(+ (* 3.0 (* 2.0 x)) (* (* 3.0 3.0) (- (* x x))))
34.0ms	(* (* 3.0 3.0) (- (* x x)))

simplify1.1s

Counts

42 → 42

Iterations

Iter	Nodes
done	5001
2	1555
1	235
0	74

prune160.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes59.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	27
3	27
2	23
1	19
0	10

end0.0ms

sample1.3s

Algorithm

intervals

Results

497.0ms	9770×	body	80	valid
493.0ms	338×	body	1280	valid
40.0ms	285×	body	640	valid
18.0ms	154×	body	320	valid
5.0ms	73×	body	160	valid