Details

sample31.0ms

Algorithm

intervals

Results

11.0ms	66×	body	640	valid
6.0ms	133×	body	80	valid
5.0ms	37×	body	320	valid
2.0ms	20×	body	160	valid

simplify11.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	11
0	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.3b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (+ x 1))
2.7b	(- (/ 1 (+ x 1)) (/ 1 x))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

104×	`*-un-lft-identity`
90×	`frac-sub`
77×	`add-sqr-sqrt`
70×	`associate-/r*`
60×	`associate-/l*`
53×	`add-cube-cbrt`
36×	`times-frac`
20×	`clear-num` `frac-2neg`
16×	`distribute-lft-out`
10×	`distribute-lft-out--`
9×	`difference-of-squares`
6×	`add-exp-log`
5×	`div-inv`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow1`
2×	`div-exp` `associate-/r/` `insert-posit16`
1×	`cbrt-undiv` `rec-exp` `sub-neg` `flip3-+` `flip3--` `diff-log` `1-exp` `flip-+` `pow-flip` `flip--` `inv-pow`

Counts

2 → 160

Calls

2 calls:

11.0ms	(/ 1 (+ x 1))
100.0ms	(- (/ 1 (+ x 1)) (/ 1 x))

series68.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(/ 1 (+ x 1))
44.0ms	(- (/ 1 (+ x 1)) (/ 1 x))

simplify3.1s

Counts

166 → 166

Iterations

Iter	Nodes
done	5079
3	4707
2	2141
1	982
0	338

prune333.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1) x)
0.0b	(/ (- x (+ x 1)) (* (+ x 1) x))
2.0b	(- x (+ x 1))

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

131×	`*-un-lft-identity`
86×	`add-sqr-sqrt`
78×	`times-frac`
40×	`add-cube-cbrt`
32×	`associate-l`
30×	`distribute-lft-out--`
24×	`associate-r`
23×	`distribute-lft-out`
15×	`difference-of-squares`
13×	`associate-/r*`
10×	`add-cbrt-cube` `add-exp-log`
8×	`*-commutative` `add-log-exp` `unswap-sqr`
6×	`associate-/l*`
5×	`pow1`
4×	`associate-*l/` `associate--r+`
3×	`div-sub` `insert-posit16`
2×	`cbrt-undiv` `+-commutative` `flip3-+` `flip3--` `diff-log` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `flip--` `associate-/l/`
1×	`clear-num` `sum-log` `sub-neg` `frac-2neg` `pow-prod-down` `div-inv`

Counts

3 → 160

Calls

3 calls:

36.0ms	(* (+ x 1) x)
136.0ms	(/ (- x (+ x 1)) (* (+ x 1) x))
16.0ms	(- x (+ x 1))

series91.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(* (+ x 1) x)
25.0ms	(/ (- x (+ x 1)) (* (+ x 1) x))
7.0ms	(- x (+ x 1))

simplify2.0s

Counts

169 → 169

Iterations

Iter	Nodes
done	5000
2	1927
1	581
0	194

prune438.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ (/ -1 x) (+ x 1))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

97×	`times-frac`
80×	`*-un-lft-identity`
52×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`associate-/l*`
14×	`distribute-lft-out`
9×	`associate-/l/`
7×	`associate-/r*`
6×	`add-cbrt-cube` `add-exp-log` `div-inv`
3×	`cbrt-undiv` `div-exp`
2×	`clear-num` `frac-2neg` `associate-/r/`
1×	`pow1` `flip3-+` `flip-+` `insert-posit16` `add-log-exp`

Counts

1 → 95

Calls

1 calls:

27.0ms

(/ (/ -1 x) (+ x 1))

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(/ (/ -1 x) (+ x 1))

simplify3.5s

Counts

98 → 98

Iterations

Iter	Nodes
done	5000
3	4930
2	1180
1	410
0	179

prune345.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) x)
0.3b	(/ -1 (+ (* x x) x))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

67×	`*-un-lft-identity`
45×	`times-frac`
42×	`add-sqr-sqrt` `add-cube-cbrt`
25×	`distribute-rgt-out`
20×	`associate-r` `distribute-lft-out`
15×	`associate-/r` `distribute-lft1-in` `associate-l*`
10×	`*-commutative`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `flip3-+` `associate-/r/` `flip-+` `insert-posit16`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

2 → 102

Calls

2 calls:

27.0ms	(+ (* x x) x)
48.0ms	(/ -1 (+ (* x x) x))

series78.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(+ (* x x) x)
22.0ms	(/ -1 (+ (* x x) x))

simplify2.7s

Counts

108 → 108

Iterations

Iter	Nodes
done	5000
3	4236
2	906
1	296
0	134

prune339.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes22.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
1	9
0	6

end0.0ms

sample1.4s

Algorithm

intervals

Results

579.0ms	1869×	body	640	valid
317.0ms	4296×	body	80	valid
247.0ms	1185×	body	320	valid
104.0ms	650×	body	160	valid