Details

sample26.0ms

Algorithm

intervals

Results

18.0ms

256×

body

valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	15
2	15
1	14
0	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

67×	`*-un-lft-identity`
41×	`times-frac`
40×	`add-sqr-sqrt`
24×	`add-cube-cbrt`
12×	`distribute-lft-out`
11×	`associate-/r*`
9×	`add-exp-log`
8×	`difference-of-squares`
7×	`add-cbrt-cube`
6×	`associate-/l*` `distribute-lft-out--`
5×	`add-log-exp`
4×	`pow1` `difference-of-sqr-1` `associate-/r/`
3×	`div-exp` `insert-posit16` `div-inv`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip-+`
1×	`+-commutative` `rec-exp` `sum-log` `flip3--` `1-exp` `frac-add` `pow-flip` `flip--` `inv-pow`

Counts

3 → 103

Calls

3 calls:

12.0ms	(/ x (+ x 1))
43.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
16.0ms	(/ 1 (- x 1))

series137.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(/ x (+ x 1))
78.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
27.0ms	(/ 1 (- x 1))

simplify1.3s

Counts

112 → 112

Iterations

Iter	Nodes
3	2925
2	1016
1	368
0	170

prune796.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite306.0ms

Algorithm

rewrite-expression-head

Rules

308×	`*-un-lft-identity`
143×	`times-frac`
94×	`add-sqr-sqrt`
76×	`distribute-lft-out`
44×	`add-cube-cbrt`
32×	`distribute-lft-out--`
27×	`swap-sqr`
24×	`difference-of-squares`
21×	`associate-/r*`
18×	`add-exp-log`
14×	`pow1`
12×	`add-cbrt-cube` `difference-of-sqr-1`
11×	`div-inv`
9×	`frac-times` `associate-r` `associate-l` `associate-/l*`
8×	`flip3-+` `frac-add` `flip-+`
6×	`div-exp` `associate-/r/`
4×	`insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `rec-exp` `clear-num` `frac-2neg` `flip3--` `1-exp` `associate-l/` `associate-r/` `pow-flip` `flip--` `inv-pow`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `unswap-sqr`

Counts

4 → 229

Calls

4 calls:

17.0ms	(/ 1 (- x 1))
13.0ms	(/ 1 (- x 1))
8.0ms	(/ 1 (- x 1))
259.0ms	(* (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+ (/ 1 (- x 1)) (/ x (+ x 1))))

series169.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ 1 (- x 1))
21.0ms	(/ 1 (- x 1))
14.0ms	(/ 1 (- x 1))
107.0ms	(* (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+ (/ 1 (- x 1)) (/ x (+ x 1))))

simplify632.0ms

Counts

241 → 241

Iterations

Iter	Nodes
2	2045
1	486
0	167

prune2.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize138.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ 1 (- x 1)) (/ 1 (- x 1)))
0.2b	(* (/ 1 (- x 1)) (/ 1 (- x 1)))
0.2b	(/ 1 (* (* (+ -1 x) (+ -1 x)) (+ -1 x)))
0.2b	(/ 1 (* (* (+ -1 x) (+ -1 x)) (+ -1 x)))

rewrite276.0ms

Algorithm

rewrite-expression-head

Rules

280×	`add-sqr-sqrt`
248×	`*-un-lft-identity`
246×	`times-frac`
126×	`add-exp-log`
112×	`add-cube-cbrt`
82×	`swap-sqr`
74×	`pow1`
68×	`associate-/r/`
60×	`difference-of-squares`
58×	`frac-times`
54×	`flip3-+` `associate-r` `associate-l` `flip-+`
50×	`prod-exp`
46×	`add-cbrt-cube`
44×	`div-exp`
40×	`pow-flip`
36×	`difference-of-sqr-1` `distribute-lft-out--`
30×	`associate-*l/`
22×	`rec-exp` `1-exp` `pow-prod-up`
18×	`associate-*r/` `inv-pow` `unswap-sqr`
14×	`cbrt-undiv` `pow-plus` `cbrt-unprod` `div-inv`
12×	`pow-prod-down`
10×	`pow-sqr`
8×	`flip3--` `flip--`
6×	`pow2` `associate-/l*`
4×	`insert-posit16` `add-log-exp`
2×	`clear-num` `associate-/r` `frac-2neg` `pow3` `un-div-inv` `-commutative`

Counts

4 → 438

Calls

4 calls:

51.0ms	(* (/ 1 (- x 1)) (/ 1 (- x 1)))
34.0ms	(* (/ 1 (- x 1)) (/ 1 (- x 1)))
106.0ms	(/ 1 (* (* (+ -1 x) (+ -1 x)) (+ -1 x)))
75.0ms	(/ 1 (* (* (+ -1 x) (+ -1 x)) (+ -1 x)))

series108.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (/ 1 (- x 1)) (/ 1 (- x 1)))
20.0ms	(* (/ 1 (- x 1)) (/ 1 (- x 1)))
35.0ms	(/ 1 (* (* (+ -1 x) (+ -1 x)) (+ -1 x)))
32.0ms	(/ 1 (* (* (+ -1 x) (+ -1 x)) (+ -1 x)))

simplify1.5s

Counts

450 → 450

Iterations

Iter	Nodes
2	3458
1	1061
0	329

prune8.9s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- x 1))
0.0b	(- (/ 1 (- x 1)) (/ x (+ x 1)))
0.0b	(* (/ x (+ x 1)) (/ x (+ x 1)))
0.2b	(* (/ 1 (- x 1)) (/ 1 (- x 1)))

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

251×	`*-un-lft-identity`
233×	`add-sqr-sqrt`
220×	`times-frac`
104×	`add-cube-cbrt`
65×	`swap-sqr`
60×	`add-exp-log`
45×	`associate-r` `associate-l`
44×	`difference-of-squares`
30×	`add-cbrt-cube` `distribute-lft-out--`
27×	`pow1`
22×	`difference-of-sqr-1` `div-exp`
20×	`prod-exp` `distribute-lft-out`
18×	`associate-/r/`
13×	`unswap-sqr`
12×	`div-inv`
9×	`cbrt-undiv` `rec-exp` `1-exp` `pow-flip` `inv-pow`
8×	`cbrt-unprod`
7×	`associate-/r*`
6×	`flip3--` `pow-prod-up` `flip--` `add-log-exp`
4×	`flip3-+` `pow-prod-down` `pow-sqr` `flip-+` `insert-posit16`
3×	`associate-/l*`
2×	`pow2` `frac-times` `pow-plus` `associate-l/` `associate-r/` `*-commutative`
1×	`clear-num` `sub-neg` `frac-2neg` `diff-log` `un-div-inv` `frac-sub`

Counts

4 → 315

Calls

4 calls:

9.0ms	(/ 1 (- x 1))
54.0ms	(- (/ 1 (- x 1)) (/ x (+ x 1)))
32.0ms	(* (/ x (+ x 1)) (/ x (+ x 1)))
60.0ms	(* (/ 1 (- x 1)) (/ 1 (- x 1)))

series170.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ 1 (- x 1))
75.0ms	(- (/ 1 (- x 1)) (/ x (+ x 1)))
41.0ms	(* (/ x (+ x 1)) (/ x (+ x 1)))
30.0ms	(* (/ 1 (- x 1)) (/ 1 (- x 1)))

simplify1.2s

Counts

327 → 327

Iterations

Iter	Nodes
2	3218
1	1212
0	370

prune3.0s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes86.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify14.0ms

Iterations

Iter	Nodes
2	38
1	38
0	27

end0.0ms

sample1.0s

Algorithm

intervals

Results

854.0ms

8000×

body

valid