Details

sample51.0ms

Algorithm

intervals

Results

18.0ms	68×	body	640	valid
9.0ms	131×	body	80	valid
5.0ms	16×	body	1280	valid
5.0ms	25×	body	320	valid
2.0ms	16×	body	160	valid

simplify239.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	475
9	475
8	357
7	164
6	102
5	81
4	65
3	45
2	35
1	21
0	10

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.5b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ x 1))
0.0b	(- (/ 1 (+ x 1)) (/ 2 x))
0.0b	(/ 1 (- x 1))
2.2b	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

rewrite501.0ms

Algorithm

rewrite-expression-head

Rules

98×	`*-un-lft-identity`
58×	`add-sqr-sqrt`
56×	`times-frac`
25×	`add-cube-cbrt`
18×	`distribute-lft-out--`
17×	`distribute-lft-out`
14×	`difference-of-squares`
12×	`add-exp-log`
11×	`associate-/r*` `add-log-exp`
8×	`add-cbrt-cube` `div-inv`
6×	`pow1` `associate-/l*`
4×	`difference-of-sqr-1` `div-exp` `associate-/r/` `insert-posit16`
3×	`flip3--` `frac-add` `flip--`
2×	`cbrt-undiv` `rec-exp` `associate-+l+` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `1-exp` `frac-sub` `flip-+` `pow-flip` `inv-pow`
1×	`+-commutative` `associate-+l-`

Counts

4 → 141

Calls

4 calls:

22.0ms	(/ 1 (+ x 1))
86.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
23.0ms	(/ 1 (- x 1))
362.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

series233.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ 1 (+ x 1))
46.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
26.0ms	(/ 1 (- x 1))
139.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

simplify3.3s

Counts

153 → 153

Iterations

Iter	Nodes
done	5002
3	4882
2	1509
1	510
0	219

prune509.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (* (+ x -1) (+ x (* -2 (+ x 1)))) (* (+ x 1) x)) (* (+ x -1) (* (+ x 1) x)))
0.0b	(+ x (* -2 (+ x 1)))
0.1b	(* (+ x -1) (* (+ x 1) x))
16.5b	(+ (* (+ x -1) (+ x (* -2 (+ x 1)))) (* (+ x 1) x))

rewrite277.0ms

Algorithm

rewrite-expression-head

Rules

56×	`associate-*l/`
55×	`flip3-+` `flip-+`
32×	`frac-add`
24×	`frac-times`
18×	`add-cbrt-cube` `add-exp-log` `associate-/l/`
12×	`associate-*r/`
9×	`pow1` `*-un-lft-identity`
8×	`add-sqr-sqrt` `associate-/r/` `add-log-exp`
7×	`add-cube-cbrt`
6×	`prod-exp` `cbrt-unprod`
5×	`associate-l`
4×	`insert-posit16`
3×	`cbrt-undiv` `times-frac` `div-exp` `pow-prod-down` `associate-/l*`
2×	`distribute-rgt-in` `+-commutative` `associate-+l+` `associate-+r+` `sum-log` `distribute-lft-in`
1×	`difference-of-sqr--1` `clear-num` `associate-/r` `frac-2neg` `associate-r` `-commutative` `div-inv` `distribute-lft-out`

Counts

4 → 123

Calls

4 calls:

130.0ms	(/ (+ (* (+ x -1) (+ x (* -2 (+ x 1)))) (* (+ x 1) x)) (* (+ x -1) (* (+ x 1) x)))
13.0ms	(+ x (* -2 (+ x 1)))
89.0ms	(* (+ x -1) (* (+ x 1) x))
36.0ms	(+ (* (+ x -1) (+ x (* -2 (+ x 1)))) (* (+ x 1) x))

series276.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(/ (+ (* (+ x -1) (+ x (* -2 (+ x 1)))) (* (+ x 1) x)) (* (+ x -1) (* (+ x 1) x)))
43.0ms	(+ x (* -2 (+ x 1)))
149.0ms	(* (+ x -1) (* (+ x 1) x))
3.0ms	(+ (* (+ x -1) (+ x (* -2 (+ x 1)))) (* (+ x 1) x))

simplify1.4s

Counts

135 → 135

Iterations

Iter	Nodes
done	5002
1	1021
0	274

prune820.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1) x)
0.1b	(* (+ x -1) (* (+ x 1) x))
0.2b	(/ 2 (* (+ x -1) (* (+ x 1) x)))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-cbrt-cube` `add-exp-log`
18×	`associate-*l/`
13×	`flip3-+` `flip-+`
12×	`*-un-lft-identity`
11×	`add-sqr-sqrt`
10×	`pow1`
9×	`associate-l`
8×	`frac-times` `associate-/r/` `add-cube-cbrt`
7×	`prod-exp` `cbrt-unprod`
4×	`associate-r` `pow-prod-down` `associate-*r/`
3×	`cbrt-undiv` `times-frac` `div-exp` `insert-posit16` `associate-/l*` `add-log-exp`
2×	`*-commutative` `distribute-lft-out`
1×	`difference-of-sqr--1` `clear-num` `associate-/r*` `frac-2neg` `div-inv` `unswap-sqr`

Counts

3 → 83

Calls

3 calls:

20.0ms	(* (+ x 1) x)
55.0ms	(* (+ x -1) (* (+ x 1) x))
59.0ms	(/ 2 (* (+ x -1) (* (+ x 1) x)))

series250.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(* (+ x 1) x)
114.0ms	(* (+ x -1) (* (+ x 1) x))
74.0ms	(/ 2 (* (+ x -1) (* (+ x 1) x)))

simplify1.7s

Counts

92 → 92

Iterations

Iter	Nodes
done	5003
2	2248
1	447
0	153

prune313.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1) x)
0.0b	(/ 2 (+ x -1))
0.1b	(/ (/ 2 (+ x -1)) (* (+ x 1) x))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

66×	`times-frac`
55×	`*-un-lft-identity`
45×	`add-sqr-sqrt`
33×	`add-cube-cbrt`
24×	`associate-/l*`
19×	`add-cbrt-cube` `add-exp-log`
11×	`distribute-lft-out`
10×	`difference-of-sqr--1`
8×	`associate-/r/`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r*`
5×	`pow1` `flip3-+` `flip-+`
4×	`associate-l` `associate-*l/` `div-inv`
3×	`associate-r` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg`
1×	`pow-prod-down` `*-commutative` `unswap-sqr` `associate-/l/`

Counts

3 → 125

Calls

3 calls:

25.0ms	(* (+ x 1) x)
11.0ms	(/ 2 (+ x -1))
38.0ms	(/ (/ 2 (+ x -1)) (* (+ x 1) x))

series166.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(* (+ x 1) x)
18.0ms	(/ 2 (+ x -1))
76.0ms	(/ (/ 2 (+ x -1)) (* (+ x 1) x))

simplify1.8s

Counts

134 → 134

Iterations

Iter	Nodes
done	5012
2	2248
1	551
0	213

prune479.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes40.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	14
1	14
0	9

end0.0ms

sample2.2s

Algorithm

intervals

Results

680.0ms	929×	body	320	valid
624.0ms	1907×	body	640	valid
390.0ms	4195×	body	80	valid
304.0ms	524×	body	1280	valid
60.0ms	448×	body	160	valid