Details

sample72.0ms

Algorithm

intervals

Results

26.0ms	58×	body	640	valid
14.0ms	137×	body	80	valid
9.0ms	28×	body	320	valid
8.0ms	16×	body	1280	valid
4.0ms	17×	body	160	valid

simplify166.0ms

Counts

1 → 1

Iterations

Iter	Nodes
11	195
10	195
9	187
8	132
7	94
6	83
5	75
4	63
3	43
2	33
1	19
0	10

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.1b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- x 1))
0.0b	(/ 1 (+ x 1))
0.0b	(- (/ 1 (+ x 1)) (/ 2 x))
2.7b	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

rewrite273.0ms

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:

9.0ms	(/ 1 (- x 1))
8.0ms	(/ 1 (+ x 1))
41.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
212.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

series164.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(/ 1 (- x 1))
14.0ms	(/ 1 (+ x 1))
25.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
110.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

simplify12.3s

Counts

153 → 153

Iterations

Iter	Nodes
3	3950
2	1356
1	492
0	219

prune798.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize60.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x 1) x)
0.0b	(* (+ x 1) x)
0.1b	(* (* (+ x 1) x) (- x 1))
17.0b	(+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

48×	`associate-*l/`
17×	`add-sqr-sqrt`
16×	`*-un-lft-identity` `frac-add`
15×	`flip3--` `flip--`
14×	`flip3-+` `flip-+`
13×	`pow1` `add-cbrt-cube` `associate-r` `add-exp-log`
12×	`frac-times`
9×	`associate-l` `add-cube-cbrt`
6×	`associate-*r/` `add-log-exp`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `associate-+l+` `sub-neg` `distribute-lft-in` `insert-posit16`
3×	`*-commutative`
2×	`distribute-lft-out` `difference-of-squares` `unswap-sqr`
1×	`+-commutative` `sum-log` `difference-of-sqr-1` `distribute-lft-out--`

Counts

4 → 111

Calls

4 calls:

14.0ms	(* (+ x 1) x)
18.0ms	(* (+ x 1) x)
39.0ms	(* (* (+ x 1) x) (- x 1))
43.0ms	(+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1))

series242.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* (+ x 1) x)
57.0ms	(* (+ x 1) x)
112.0ms	(* (* (+ x 1) x) (- x 1))
2.0ms	(+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1))

simplify1.4s

Counts

123 → 123

Iterations

Iter	Nodes
2	3424
1	776
0	213

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1) x)
0.1b	(* (* (+ x 1) x) (- x 1))
0.3b	(/ 2 (* (* (+ x 1) x) (- x 1)))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 89

Calls

3 calls:

30.0ms	(* (+ x 1) x)
62.0ms	(* (* (+ x 1) x) (- x 1))
58.0ms	(/ 2 (* (* (+ x 1) x) (- x 1)))

series220.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(* (+ x 1) x)
93.0ms	(* (* (+ x 1) x) (- x 1))
79.0ms	(/ 2 (* (* (+ x 1) x) (- x 1)))

simplify7.2s

Counts

98 → 98

Iterations

Iter	Nodes
3	7569
2	1525
1	448
0	156

prune589.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 145

Calls

3 calls:

27.0ms	(* (+ x 1) x)
38.0ms	(/ (/ 2 (* (+ x 1) x)) (- x 1))
9.0ms	(/ 2 (* (+ x 1) x))

series141.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(* (+ x 1) x)
61.0ms	(/ (/ 2 (* (+ x 1) x)) (- x 1))
24.0ms	(/ 2 (* (+ x 1) x))

simplify21.6s

Counts

154 → 154

Iterations

Iter	Nodes
3	6914
2	1696
1	619
0	242

prune574.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

regimes23.0ms

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
2	12
1	12
0	9

end0.0ms

sample2.2s

Algorithm

intervals

Results

753.0ms	1854×	body	640	valid
554.0ms	946×	body	320	valid
439.0ms	4184×	body	80	valid
271.0ms	538×	body	1280	valid
78.0ms	483×	body	160	valid