Details

sample41.0ms

Algorithm

intervals

Results

24.0ms	311×	body	80	valid
3.0ms	11×	body	1280	valid
2.0ms	10×	body	640	valid
1.0ms	5×	body	320	valid
1.0ms	4×	body	160	valid

simplify115.0ms

Counts

1 → 1

Iterations

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

prune6.0ms

Pruning

2 alts after pruning (2 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))) x)
0.1b	(* 3.0 (- 2.0 (* x 3.0)))

rewrite53.0ms

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--` `insert-posit16` `flip--`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-l/` `-commutative`
1×	`diff-log` `unswap-sqr`

Counts

3 → 59

Calls

3 calls:

4.0ms	(- 2.0 (* x 3.0))
34.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
13.0ms	(* 3.0 (- 2.0 (* x 3.0)))

series201.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(- 2.0 (* x 3.0))
96.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
66.0ms	(* 3.0 (- 2.0 (* x 3.0)))

simplify2.6s

Counts

68 → 68

Iterations

Iter	Nodes
done	5003
3	4755
2	827
1	237
0	93

prune180.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `-un-lft-identity` `add-cbrt-cube` `associate-r` `associate-l*` `add-exp-log` `add-cube-cbrt`
2×	`associate-*l/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `flip--` `add-log-exp` `unswap-sqr`

Counts

1 → 21

Calls

1 calls:

12.0ms

(* (- 6.0 (* 9.0 x)) x)

series109.0ms

Counts

1 → 3

Calls

1 calls:

109.0ms

(* (- 6.0 (* 9.0 x)) x)

simplify1.4s

Counts

24 → 24

Iterations

Iter	Nodes
done	5002
3	1814
2	388
1	119
0	48

prune106.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))))
0.1b	(* (/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0))) x)
0.1b	(/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0)))
0.3b	(* (* x 3.0) (* x 3.0))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

47×	`pow1`
32×	`add-cbrt-cube` `add-exp-log`
19×	`pow-prod-down`
15×	`add-sqr-sqrt`
14×	`prod-exp` `cbrt-unprod`
13×	`associate-l`
11×	`*-un-lft-identity` `add-cube-cbrt`
8×	`associate-r`
6×	`times-frac`
4×	`cbrt-undiv` `div-exp` `associate-*r/` `associate-/r/` `pow-sqr` `pow-prod-up` `insert-posit16` `add-log-exp`
3×	`associate-/r` `-commutative`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `flip3-+` `pow-plus` `flip3--` `flip-+` `div-inv` `flip--` `unswap-sqr` `associate-/l/`
1×	`pow2` `clear-num` `frac-2neg` `swap-sqr` `associate-l/` `associate-/l` `difference-of-squares`

Counts

4 → 117

Calls

4 calls:

31.0ms	(* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))))
40.0ms	(* (/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0))) x)
31.0ms	(/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0)))
38.0ms	(* (* x 3.0) (* x 3.0))

series574.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))))
237.0ms	(* (/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0))) x)
175.0ms	(/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0)))
45.0ms	(* (* x 3.0) (* x 3.0))

simplify1.8s

Counts

129 → 129

Iterations

Iter	Nodes
done	5000
2	2057
1	497
0	170

prune292.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

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-l*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`insert-posit16`
1×	`sub-neg` `flip3--` `diff-log` `associate-r` `*-commutative` `flip--` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

7.0ms	(- (* 6.0 x) (* 9.0 (* x x)))
16.0ms	(* 9.0 (* x x))

series117.0ms

Counts

2 → 6

Calls

2 calls:

88.0ms	(- (* 6.0 x) (* 9.0 (* x x)))
29.0ms	(* 9.0 (* x x))

simplify1.9s

Counts

39 → 39

Iterations

Iter	Nodes
done	5002
3	2390
2	543
1	174
0	60

prune153.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes55.0ms

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

sample1.5s

Algorithm

intervals

Results

1.1s	9716×	body	80	valid
123.0ms	321×	body	1280	valid
62.0ms	275×	body	640	valid
52.0ms	142×	body	320	valid
9.0ms	85×	body	160	valid