Details

sample58.0ms

Algorithm

intervals

Results

18.0ms	50×	body	640	valid
11.0ms	139×	body	80	valid
7.0ms	31×	body	320	valid
7.0ms	17×	body	1280	valid
3.0ms	19×	body	160	valid

simplify189.0ms

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: 9.5b

localize39.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- x 1))
0.0b	(- (/ 1 (+ x 1)) (/ 2 x))
3.0b	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

rewrite256.0ms

Algorithm

rewrite-expression-head

Rules

80×	`*-un-lft-identity`
48×	`add-sqr-sqrt`
44×	`times-frac`
18×	`distribute-lft-out--`
15×	`add-cube-cbrt`
14×	`difference-of-squares`
13×	`distribute-lft-out`
10×	`add-log-exp`
7×	`associate-/r*` `add-exp-log` `div-inv`
5×	`add-cbrt-cube`
4×	`pow1` `difference-of-sqr-1`
3×	`flip3--` `frac-add` `insert-posit16` `flip--` `associate-/l*`
2×	`associate-+l+` `sum-log` `sub-neg` `diff-log` `div-exp` `associate-/r/` `frac-sub`
1×	`cbrt-undiv` `+-commutative` `rec-exp` `clear-num` `frac-2neg` `flip3-+` `1-exp` `associate-+l-` `flip-+` `pow-flip` `inv-pow`

Counts

3 → 103

Calls

3 calls:

17.0ms	(/ 1 (- x 1))
58.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
179.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

series182.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(/ 1 (- x 1))
26.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
132.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

simplify2.6s

Counts

112 → 112

Iterations

Iter	Nodes
done	5005
3	4159
2	1303
1	432
0	186

prune412.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- x 1))
0.0b	(- (/ 1 (+ x 1)) (/ 2 x))
3.0b	(+ (/ 1 (- x 1)) (- (/ 1 (+ x 1)) (/ 2 x)))

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

80×	`*-un-lft-identity`
48×	`add-sqr-sqrt`
44×	`times-frac`
18×	`distribute-lft-out--`
15×	`add-cube-cbrt`
14×	`difference-of-squares`
13×	`distribute-lft-out`
10×	`add-log-exp`
7×	`associate-/r*` `add-exp-log` `div-inv`
5×	`add-cbrt-cube`
4×	`pow1` `difference-of-sqr-1`
3×	`flip3--` `frac-add` `insert-posit16` `flip--` `associate-/l*`
2×	`associate-+r+` `sum-log` `sub-neg` `diff-log` `div-exp` `associate-/r/` `frac-sub`
1×	`cbrt-undiv` `+-commutative` `rec-exp` `clear-num` `associate-+r-` `frac-2neg` `flip3-+` `1-exp` `flip-+` `pow-flip` `inv-pow`

Counts

3 → 103

Calls

3 calls:

8.0ms	(/ 1 (- x 1))
37.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
105.0ms	(+ (/ 1 (- x 1)) (- (/ 1 (+ x 1)) (/ 2 x)))

series196.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(/ 1 (- x 1))
41.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
129.0ms	(+ (/ 1 (- x 1)) (- (/ 1 (+ x 1)) (/ 2 x)))

simplify1.7s

Counts

112 → 112

Iterations

Iter	Nodes
done	5000
2	1580
1	453
0	185

prune384.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* -2 (+ x 1)))
0.0b	(/ (+ (* (- x 1) (+ x (* -2 (+ x 1)))) (* (+ x 1) x)) (* (- x 1) (* (+ x 1) x)))
0.1b	(* (- x 1) (* (+ x 1) x))
16.3b	(+ (* (- x 1) (+ x (* -2 (+ x 1)))) (* (+ x 1) x))

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

56×	`associate-*l/`
37×	`flip3-+` `flip-+`
32×	`frac-add`
24×	`frac-times`
18×	`flip3--` `add-cbrt-cube` `add-exp-log` `flip--` `associate-/l/`
12×	`associate-*r/`
11×	`add-sqr-sqrt`
10×	`*-un-lft-identity`
9×	`pow1`
8×	`associate-/r/` `add-log-exp`
7×	`associate-l` `add-cube-cbrt`
6×	`prod-exp` `cbrt-unprod`
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` `difference-of-squares`
1×	`clear-num` `associate-/r` `frac-2neg` `difference-of-sqr-1` `associate-r` `-commutative` `div-inv` `distribute-lft-out--`

Counts

4 → 125

Calls

4 calls:

6.0ms	(+ x (* -2 (+ x 1)))
74.0ms	(/ (+ (* (- x 1) (+ x (* -2 (+ x 1)))) (* (+ x 1) x)) (* (- x 1) (* (+ x 1) x)))
56.0ms	(* (- x 1) (* (+ x 1) x))
18.0ms	(+ (* (- x 1) (+ x (* -2 (+ x 1)))) (* (+ x 1) x))

series281.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ x (* -2 (+ x 1)))
100.0ms	(/ (+ (* (- x 1) (+ x (* -2 (+ x 1)))) (* (+ x 1) x)) (* (- x 1) (* (+ x 1) x)))
151.0ms	(* (- x 1) (* (+ x 1) x))
2.0ms	(+ (* (- x 1) (+ x (* -2 (+ x 1)))) (* (+ x 1) x))

simplify1.7s

Counts

137 → 137

Iterations

Iter	Nodes
done	5002
1	990
0	270

prune699.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1) x)
0.1b	(* (- x 1) (* (+ x 1) x))
0.5b	(/ 2 (* (- x 1) (* (+ x 1) x)))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-cbrt-cube` `add-exp-log`
18×	`associate-*l/`
14×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
11×	`associate-l`
10×	`pow1`
8×	`frac-times` `associate-/r/` `add-cube-cbrt`
7×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+`
6×	`flip3--` `flip--`
4×	`associate-r` `pow-prod-down` `associate-*r/`
3×	`cbrt-undiv` `times-frac` `div-exp` `insert-posit16` `associate-/l*` `add-log-exp`
2×	`*-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 → 85

Calls

3 calls:

28.0ms	(* (+ x 1) x)
58.0ms	(* (- x 1) (* (+ x 1) x))
26.0ms	(/ 2 (* (- x 1) (* (+ x 1) x)))

series329.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(* (+ x 1) x)
143.0ms	(* (- x 1) (* (+ x 1) x))
107.0ms	(/ 2 (* (- x 1) (* (+ x 1) x)))

simplify1.4s

Counts

94 → 94

Iterations

Iter	Nodes
done	5002
2	2029
1	419
0	149

prune390.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes32.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	13
1	13
0	8

end0.0ms

sample1.9s

Algorithm

intervals

Results

544.0ms	1877×	body	640	valid
467.0ms	486×	body	160	valid
278.0ms	4097×	body	80	valid
251.0ms	937×	body	320	valid
226.0ms	606×	body	1280	valid