Details

sample94.0ms

Algorithm

intervals

Results

38.0ms	70×	body	640	valid
18.0ms	129×	body	80	valid
11.0ms	28×	body	320	valid
9.0ms	14×	body	1280	valid
4.0ms	15×	body	160	valid

simplify302.0ms

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: 10.1b

localize39.0ms

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))
2.4b	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

rewrite294.0ms

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))
49.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
226.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

series196.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(/ 1 (- x 1))
14.0ms	(/ 1 (+ x 1))
38.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
130.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

simplify1.7s

Counts

153 → 153

Iterations

Iter	Nodes
done	5003
2	1619
1	510
0	219

prune525.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize69.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x 1) x)
0.0b	(/ (+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) (- x 1)))
0.0b	(* (* (+ x 1) x) (- x 1))
18.7b	(+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1))

rewrite247.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 139

Calls

4 calls:

21.0ms	(* (+ x 1) x)
107.0ms	(/ (+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) (- x 1)))
64.0ms	(* (* (+ x 1) x) (- x 1))
48.0ms	(+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1))

series253.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (+ x 1) x)
83.0ms	(/ (+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) (- x 1)))
109.0ms	(* (* (+ x 1) x) (- x 1))
3.0ms	(+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1))

simplify1.9s

Counts

151 → 151

Iterations

Iter	Nodes
done	5001
1	1081
0	286

prune759.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite108.0ms

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)
44.0ms	(* (* (+ x 1) x) (- x 1))
34.0ms	(/ 2 (* (* (+ x 1) x) (- x 1)))

series256.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(* (+ x 1) x)
113.0ms	(* (* (+ x 1) x) (- x 1))
79.0ms	(/ 2 (* (* (+ x 1) x) (- x 1)))

simplify1.6s

Counts

98 → 98

Iterations

Iter	Nodes
done	5008
2	2109
1	475
0	156

prune343.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (- x 1))
0.3b	(cbrt (- x 1))
0.3b	(cbrt (- x 1))
0.3b	(/ 2 (* (* (* (+ x 1) x) (* (cbrt (- x 1)) (cbrt (- x 1)))) (cbrt (- x 1))))

rewrite266.0ms

Algorithm

rewrite-expression-head

Rules

168×	`cbrt-div`
136×	`frac-times`
104×	`associate-*l/`
84×	`flip3--` `flip--`
80×	`associate-/r/`
44×	`associate-*r/`
29×	`add-exp-log`
27×	`flip3-+` `flip-+`
21×	`cbrt-prod` `add-sqr-sqrt`
20×	`add-cbrt-cube`
18×	`*-un-lft-identity`
13×	`prod-exp` `cbrt-unprod`
9×	`add-cube-cbrt`
6×	`cbrt-undiv` `div-exp` `difference-of-squares`
4×	`pow1` `insert-posit16` `add-log-exp`
3×	`times-frac` `pow1/3` `difference-of-sqr-1` `associate-/l*` `distribute-lft-out--`
1×	`clear-num` `associate-/r*` `frac-2neg` `div-inv`

Counts

4 → 164

Calls

4 calls:

3.0ms	(cbrt (- x 1))
3.0ms	(cbrt (- x 1))
5.0ms	(cbrt (- x 1))
250.0ms	(/ 2 (* (* (* (+ x 1) x) (* (cbrt (- x 1)) (cbrt (- x 1)))) (cbrt (- x 1))))

series286.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(cbrt (- x 1))
49.0ms	(cbrt (- x 1))
53.0ms	(cbrt (- x 1))
109.0ms	(/ 2 (* (* (* (+ x 1) x) (* (cbrt (- x 1)) (cbrt (- x 1)))) (cbrt (- x 1))))

simplify2.7s

Counts

176 → 176

Iterations

Iter	Nodes
done	5021
2	4682
1	1066
0	374

prune828.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes57.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	13
1	13
0	8

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.3s	1836×	body	640	valid
511.0ms	4243×	body	80	valid
355.0ms	555×	body	1280	valid
339.0ms	884×	body	320	valid
97.0ms	482×	body	160	valid