Details

sample56.0ms

Algorithm

intervals

Results

17.0ms	65×	body	640	valid
9.0ms	128×	body	80	valid
7.0ms	22×	body	1280	valid
4.0ms	22×	body	320	valid
3.0ms	19×	body	160	valid

simplify4.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
10	4810
9	1188
8	437
7	210
6	162
5	135
4	89
3	41
2	31
1	18
0	10

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.6b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
1.7b	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

rewrite415.0ms

Algorithm

rewrite-expression-head

Rules

65×	`*-un-lft-identity`
35×	`times-frac`
33×	`add-sqr-sqrt`
14×	`distribute-lft-out--`
13×	`add-cube-cbrt`
10×	`add-log-exp`
9×	`distribute-lft-out`
8×	`difference-of-squares`
5×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
3×	`pow1` `flip3--` `frac-add` `flip--` `associate-/l*`
2×	`associate-+l+` `sum-log` `sub-neg` `diff-log` `associate-/r/` `frac-sub`
1×	`cbrt-undiv` `+-commutative` `clear-num` `frac-2neg` `flip3-+` `div-exp` `associate-+l-` `flip-+` `div-inv`

Counts

3 → 81

Calls

3 calls:

9.0ms	(/ 1.0 (- x 1.0))
59.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
343.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

series428.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(/ 1.0 (- x 1.0))
56.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
324.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

simplify1.2s

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
2	1604
1	434
0	178

prune403.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
1.7b	(+ (/ 1.0 (- x 1.0)) (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)))

rewrite277.0ms

Algorithm

rewrite-expression-head

Rules

65×	`*-un-lft-identity`
35×	`times-frac`
33×	`add-sqr-sqrt`
14×	`distribute-lft-out--`
13×	`add-cube-cbrt`
10×	`add-log-exp`
9×	`distribute-lft-out`
8×	`difference-of-squares`
5×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
3×	`pow1` `flip3--` `frac-add` `flip--` `associate-/l*`
2×	`associate-+r+` `sum-log` `sub-neg` `diff-log` `associate-/r/` `frac-sub`
1×	`cbrt-undiv` `+-commutative` `clear-num` `associate-+r-` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv`

Counts

3 → 81

Calls

3 calls:

17.0ms	(/ 1.0 (- x 1.0))
67.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
188.0ms	(+ (/ 1.0 (- x 1.0)) (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)))

series429.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(/ 1.0 (- x 1.0))
52.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
334.0ms	(+ (/ 1.0 (- x 1.0)) (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)))

simplify1.3s

Counts

90 → 90

Iterations

Iter	Nodes
done	5001
2	1743
1	456
0	177

prune383.0ms

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	(- (* 1.0 x) (* (+ x 1.0) 2.0))
0.0b	(/ (+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0)) (* (* (+ x 1.0) x) (- x 1.0)))
0.1b	(* (* (+ x 1.0) x) (- x 1.0))
15.6b	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

rewrite191.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 124

Calls

4 calls:

12.0ms	(- (* 1.0 x) (* (+ x 1.0) 2.0))
90.0ms	(/ (+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0)) (* (* (+ x 1.0) x) (- x 1.0)))
48.0ms	(* (* (+ x 1.0) x) (- x 1.0))
29.0ms	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

series347.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- (* 1.0 x) (* (+ x 1.0) 2.0))
129.0ms	(/ (+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0)) (* (* (+ x 1.0) x) (- x 1.0)))
165.0ms	(* (* (+ x 1.0) x) (- x 1.0))
3.0ms	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

simplify1.4s

Counts

136 → 136

Iterations

Iter	Nodes
done	5000
1	1015
0	279

prune789.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.1b	(* (* (+ x 1.0) x) (- x 1.0))
0.6b	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-cbrt-cube` `add-exp-log`
18×	`associate-*l/`
12×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`pow1`
8×	`frac-times` `associate-r` `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` `associate-/l*` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `*-commutative`
1×	`clear-num` `associate-/r*` `frac-2neg` `div-inv` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 84

Calls

3 calls:

32.0ms	(* (+ x 1.0) x)
47.0ms	(* (* (+ x 1.0) x) (- x 1.0))
40.0ms	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

series313.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(* (+ x 1.0) x)
112.0ms	(* (* (+ x 1.0) x) (- x 1.0))
139.0ms	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

simplify2.0s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	3040
1	447
0	154

prune443.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes67.0ms

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	10
1	10
0	8

end0.0ms

sample1.6s

Algorithm

intervals

Results

561.0ms	905×	body	320	valid
385.0ms	1824×	body	640	valid
322.0ms	4228×	body	80	valid
140.0ms	592×	body	1280	valid
42.0ms	455×	body	160	valid