Details

sample107.0ms

Algorithm

intervals

Results

25.0ms	57×	body	640	valid
23.0ms	245×	body	80	nan
20.0ms	35×	body	1280	valid
15.0ms	130×	body	80	valid
7.0ms	23×	body	320	valid
3.0ms	11×	body	160	valid

simplify25.0ms

Counts: 1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.2b

localize30.0ms

Local error

Found 3 expressions with local error:

3.2b	(- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))
0.3b	(/ 1 (sqrt x))
0.1b	(/ 1 (sqrt (+ x 1)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

110×	`add-sqr-sqrt`
97×	`times-frac`
93×	`*-un-lft-identity`
60×	`sqrt-prod`
40×	`add-cube-cbrt`
25×	`difference-of-squares`
13×	`associate-/r*` `distribute-lft-out--`
11×	`add-exp-log`
7×	`pow1` `add-cbrt-cube` `distribute-lft-out`
6×	`div-inv` `pow-flip` `associate-/l*`
5×	`add-log-exp`
4×	`div-exp`
3×	`insert-posit16`
2×	`cbrt-undiv` `rec-exp` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `1-exp` `associate-/r/` `inv-pow`
1×	`sub-neg` `flip3-+` `flip3--` `diff-log` `frac-sub` `flip-+` `flip--`

Counts

3 → 150

Calls

3 calls:

Slowest

34.0ms	(- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))
9.0ms	(/ 1 (sqrt (+ x 1)))
6.0ms	(/ 1 (sqrt x))

series182.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

83.0ms	(- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))
56.0ms	(/ 1 (sqrt (+ x 1)))
43.0ms	(/ 1 (sqrt x))

simplify2.0s

Counts: 159 → 159

prune1.2s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 20.6b

localize17.0ms

Local error

Found 3 expressions with local error:

3.2b	(- (sqrt (+ x 1)) (sqrt x))
0.2b	(* (sqrt x) (sqrt (+ x 1)))
0.2b	(/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1))))

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
35×	`sqrt-prod`
32×	`*-un-lft-identity`
12×	`difference-of-squares`
10×	`times-frac` `add-cbrt-cube` `add-exp-log` `associate-/l*`
9×	`add-cube-cbrt` `distribute-lft-out--`
7×	`pow1` `associate-r`
6×	`associate-l`
5×	`add-log-exp`
4×	`sqrt-div` `associate-*r/` `distribute-lft-out` `unswap-sqr`
3×	`pow-prod-down` `insert-posit16`
2×	`cbrt-undiv` `sqrt-pow1` `flip3-+` `flip3--` `pow1/2` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `flip--` `associate-/l/`
1×	`clear-num` `associate-/r` `sub-neg` `frac-2neg` `sqrt-unprod` `diff-log` `div-sub` `-commutative` `div-inv`

Counts

3 → 95

Calls

3 calls:

Slowest

84.0ms	(/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1))))
49.0ms	(- (sqrt (+ x 1)) (sqrt x))
25.0ms	(* (sqrt x) (sqrt (+ x 1)))

series375.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

223.0ms	(/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1))))
95.0ms	(* (sqrt x) (sqrt (+ x 1)))
57.0ms	(- (sqrt (+ x 1)) (sqrt x))

simplify2.0s

Counts: 104 → 104

prune746.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

118×	`*-un-lft-identity`
78×	`times-frac`
55×	`sqrt-prod`
47×	`add-sqr-sqrt`
45×	`distribute-lft-out`
39×	`add-cube-cbrt`
32×	`add-exp-log`
27×	`associate-/l*`
20×	`add-cbrt-cube`
14×	`div-exp`
9×	`pow1`
8×	`associate-/r/`
7×	`cbrt-undiv` `associate-/r` `associate-r*`
6×	`flip3-+` `associate-l` `flip-+` `add-log-exp`
5×	`prod-exp`
4×	`sqrt-div` `associate-*r/` `insert-posit16` `div-inv` `unswap-sqr`
3×	`rec-exp` `1-exp` `pow-prod-down` `cbrt-unprod`
2×	`clear-num` `frac-2neg` `sqrt-pow1` `pow1/2`
1×	`+-commutative` `sum-log` `sqrt-unprod` `*-commutative` `pow-flip` `inv-pow` `associate-/l/`

Counts

4 → 170

Calls

4 calls:

Slowest

53.0ms	(/ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (* (sqrt x) (sqrt (+ x 1))))
42.0ms	(/ 1 (+ (sqrt (+ x 1)) (sqrt x)))
19.0ms	(+ (sqrt (+ x 1)) (sqrt x))
16.0ms	(* (sqrt x) (sqrt (+ x 1)))

series452.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

226.0ms	(/ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (* (sqrt x) (sqrt (+ x 1))))
81.0ms	(/ 1 (+ (sqrt (+ x 1)) (sqrt x)))
77.0ms	(+ (sqrt (+ x 1)) (sqrt x))
67.0ms	(* (sqrt x) (sqrt (+ x 1)))

simplify622.0ms

Counts: 182 → 182

prune1.4s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (sqrt x))
0.2b	(* (sqrt (+ 1 x)) (sqrt x))
0.1b	(* (/ 1 (sqrt x)) (/ 1 (+ (+ 1 x) (* (sqrt (+ 1 x)) (sqrt x)))))
0.0b	(/ 1 (+ (+ 1 x) (* (sqrt (+ 1 x)) (sqrt x))))

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

109×	`add-sqr-sqrt`
82×	`times-frac`
66×	`*-un-lft-identity`
54×	`add-exp-log`
53×	`add-cube-cbrt`
38×	`sqrt-prod`
29×	`associate-l`
28×	`associate-r`
22×	`add-cbrt-cube`
20×	`div-exp`
19×	`unswap-sqr`
17×	`prod-exp`
15×	`pow1`
12×	`associate-/r/`
11×	`flip3-+` `associate-*l/` `flip-+`
10×	`rec-exp` `associate-/r*` `sqrt-div` `1-exp`
8×	`frac-add` `distribute-lft-out`
6×	`cbrt-undiv` `pow-prod-down` `pow-flip` `associate-/l*`
5×	`cbrt-unprod`
4×	`insert-posit16` `div-inv` `inv-pow` `add-log-exp`
3×	`sqrt-pow1` `pow1/2`
2×	`clear-num` `frac-2neg` `*-commutative`
1×	`frac-times` `sqrt-unprod` `associate-*r/` `un-div-inv`

Counts

4 → 217

Calls

4 calls:

Slowest

80.0ms	(* (/ 1 (sqrt x)) (/ 1 (+ (+ 1 x) (* (sqrt (+ 1 x)) (sqrt x)))))
31.0ms	(/ 1 (+ (+ 1 x) (* (sqrt (+ 1 x)) (sqrt x))))
20.0ms	(* (sqrt (+ 1 x)) (sqrt x))
5.0ms	(/ 1 (sqrt x))

series435.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

219.0ms	(* (/ 1 (sqrt x)) (/ 1 (+ (+ 1 x) (* (sqrt (+ 1 x)) (sqrt x)))))
91.0ms	(/ 1 (+ (+ 1 x) (* (sqrt (+ 1 x)) (sqrt x))))
73.0ms	(* (sqrt (+ 1 x)) (sqrt x))
51.0ms	(/ 1 (sqrt x))

simplify1.3s

Counts: 229 → 229

prune1.7s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

regimes34.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch2.0ms

end0.0ms

sample3.0s

Algorithm

intervals

Results

879.0ms	7827×	body	80	nan
739.0ms	1894×	body	640	valid
545.0ms	1174×	body	1280	valid
399.0ms	4009×	body	80	valid
155.0ms	594×	body	320	valid
51.0ms	329×	body	160	valid