Details

sample74.0ms

Algorithm

intervals

Results

21.0ms	17×	body	1280	valid
17.0ms	50×	body	640	valid
14.0ms	139×	body	80	valid
8.0ms	31×	body	320	valid
4.0ms	19×	body	160	valid

simplify299.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	527
9	527
8	407
7	187
6	104
5	81
4	66
3	45
2	34
1	21
0	10

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.5b

localize19.0ms

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)))

rewrite229.0ms

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:

9.0ms	(/ 1 (- x 1))
35.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
183.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

series146.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(/ 1 (- x 1))
35.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
96.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

simplify1.4s

Counts

112 → 112

Iterations

Iter	Nodes
done	5000
2	1396
1	432
0	186

prune412.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

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)))

rewrite204.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity`
37×	`times-frac`
31×	`add-sqr-sqrt`
25×	`distribute-lft-out`
15×	`add-cube-cbrt`
10×	`add-log-exp`
8×	`difference-of-squares`
7×	`associate-/r*` `add-exp-log` `div-inv`
6×	`distribute-lft-out--`
5×	`add-cbrt-cube` `frac-add`
4×	`pow1` `sum-log` `difference-of-sqr-1`
3×	`flip3-+` `flip-+` `insert-posit16` `associate-/l*`
2×	`+-commutative` `div-exp` `associate-/r/`
1×	`cbrt-undiv` `rec-exp` `associate-+l+` `clear-num` `frac-2neg` `flip3--` `1-exp` `pow-flip` `flip--` `inv-pow`

Counts

3 → 94

Calls

3 calls:

10.0ms	(/ 1 (- x 1))
26.0ms	(+ (/ 1 (+ x 1)) (/ -2 x))
167.0ms	(+ (+ (/ 1 (+ x 1)) (/ -2 x)) (/ 1 (- x 1)))

series150.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(/ 1 (- x 1))
25.0ms	(+ (/ 1 (+ x 1)) (/ -2 x))
106.0ms	(+ (+ (/ 1 (+ x 1)) (/ -2 x)) (/ 1 (- x 1)))

simplify1.4s

Counts

103 → 103

Iterations

Iter	Nodes
done	5001
2	1497
1	408
0	166

prune375.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite338.0ms

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

Counts

4 → 130

Calls

4 calls:

36.0ms	(+ (+ (* -2 x) -2) x)
201.0ms	(/ (+ (* (- x 1) (+ (+ (* -2 x) -2) x)) (* (+ x 1) x)) (* (* (+ x 1) x) (- x 1)))
38.0ms	(* (* (+ x 1) x) (- x 1))
61.0ms	(+ (* (- x 1) (+ (+ (* -2 x) -2) x)) (* (+ x 1) x))

series221.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ (+ (* -2 x) -2) x)
72.0ms	(/ (+ (* (- x 1) (+ (+ (* -2 x) -2) x)) (* (+ x 1) x)) (* (* (+ x 1) x) (- x 1)))
114.0ms	(* (* (+ x 1) x) (- x 1))
2.0ms	(+ (* (- x 1) (+ (+ (* -2 x) -2) x)) (* (+ x 1) x))

simplify1.5s

Counts

142 → 142

Iterations

Iter	Nodes
done	5000
1	1068
0	282

prune680.0ms

Pruning

3 alts after pruning (3 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) (- x 1))
0.5b	(/ 2 (* (* (+ x 1) x) (- x 1)))

rewrite117.0ms

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:

28.0ms	(* (+ x 1) x)
60.0ms	(* (* (+ x 1) x) (- x 1))
27.0ms	(/ 2 (* (* (+ x 1) x) (- x 1)))

series309.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(* (+ x 1) x)
163.0ms	(* (* (+ x 1) x) (- x 1))
102.0ms	(/ 2 (* (* (+ x 1) x) (- x 1)))

simplify1.5s

Counts

98 → 98

Iterations

Iter	Nodes
done	5000
2	2334
1	475
0	156

prune334.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes37.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	8

end0.0ms

sample2.8s

Algorithm

intervals

Results

901.0ms	4097×	body	80	valid
882.0ms	1877×	body	640	valid
454.0ms	606×	body	1280	valid
314.0ms	937×	body	320	valid
97.0ms	486×	body	160	valid