Details

sample59.0ms

Algorithm

intervals

Results

19.0ms	57×	body	640	valid
14.0ms	140×	body	80	valid
10.0ms	36×	body	320	valid
6.0ms	14×	body	1280	valid
2.0ms	9×	body	160	valid

simplify228.0ms

Counts: 1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.5b

localize38.0ms

Local error

Found 4 expressions with local error:

3.2b	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))
0.0b	(- (/ 1 (+ x 1)) (/ 2 x))
0.0b	(/ 1 (- x 1))
0.0b	(/ 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:

Slowest

199.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))
59.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
16.0ms	(/ 1 (- x 1))
16.0ms	(/ 1 (+ x 1))

series210.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

116.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))
48.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
26.0ms	(/ 1 (- x 1))
20.0ms	(/ 1 (+ x 1))

simplify1.7s

Counts: 153 → 153

prune1.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize58.0ms

Local error

Found 4 expressions with local error:

14.1b	(+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1))
0.1b	(* (* (+ x 1) x) (- x 1))
0.0b	(/ (+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) (- x 1)))
0.0b	(* (+ x 1) x)

rewrite263.0ms

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:

Slowest

127.0ms	(/ (+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) (- x 1)))
68.0ms	(* (* (+ x 1) x) (- x 1))
47.0ms	(+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1))
14.0ms	(* (+ x 1) x)

series270.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

118.0ms	(* (* (+ x 1) x) (- x 1))
81.0ms	(/ (+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) (- x 1)))
68.0ms	(* (+ x 1) x)
3.0ms	(+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1))

simplify2.2s

Counts: 151 → 151

prune1.7s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

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

rewrite112.0ms

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:

Slowest

55.0ms	(* (* (+ x 1) x) (- x 1))
31.0ms	(/ 2 (* (* (+ x 1) x) (- x 1)))
24.0ms	(* (+ x 1) x)

series302.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

155.0ms	(* (* (+ x 1) x) (- x 1))
88.0ms	(/ 2 (* (* (+ x 1) x) (- x 1)))
59.0ms	(* (+ x 1) x)

simplify579.0ms

Counts: 98 → 98

prune781.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.8b	(/ 2 (* (+ x 1) x))
0.1b	(/ (/ 2 (* (+ x 1) x)) (- x 1))
0.0b	(* (+ x 1) x)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
75×	`add-sqr-sqrt`
65×	`*-un-lft-identity`
33×	`add-cube-cbrt`
20×	`associate-*l/` `associate-/r/` `difference-of-squares`
19×	`add-cbrt-cube` `add-exp-log`
12×	`associate-/l*`
10×	`flip3-+` `difference-of-sqr-1` `flip-+` `div-inv` `distribute-lft-out--`
8×	`associate-/r*`
7×	`cbrt-undiv` `div-exp`
5×	`pow1`
4×	`associate-l`
3×	`associate-r` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg`
1×	`flip3--` `pow-prod-down` `*-commutative` `flip--` `distribute-lft-out` `unswap-sqr` `associate-/l/`

Counts

3 → 145

Calls

3 calls:

Slowest

22.0ms	(* (+ x 1) x)
18.0ms	(/ (/ 2 (* (+ x 1) x)) (- x 1))
13.0ms	(/ 2 (* (+ x 1) x))

series171.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

65.0ms	(/ (/ 2 (* (+ x 1) x)) (- x 1))
55.0ms	(* (+ x 1) x)
50.0ms	(/ 2 (* (+ x 1) x))

simplify744.0ms

Counts: 154 → 154

prune1.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes33.0ms

Accuracy

0% (0.1b remaining)

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

bsearch1.0ms

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.4s	1867×	body	640	valid
473.0ms	4123×	body	80	valid
369.0ms	993×	body	320	valid
319.0ms	541×	body	1280	valid
96.0ms	480×	body	160	valid