Details

sample54.0ms

Algorithm

intervals

Results

20.0ms	59×	body	1280	valid
10.0ms	38×	body	640	valid
9.0ms	128×	body	80	valid
4.0ms	19×	body	320	valid
2.0ms	12×	body	160	valid

simplify246.0ms

Counts: 1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.0b

localize34.0ms

Local error

Found 2 expressions with local error:

3.4b	(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
0.0b	(/ (+ x 1) (- x 1))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

92×	`*-un-lft-identity`
48×	`times-frac`
47×	`add-sqr-sqrt`
18×	`distribute-lft-out--`
16×	`distribute-lft-out`
15×	`add-cube-cbrt`
14×	`difference-of-squares`
7×	`associate-/r*`
5×	`difference-of-sqr-1`
4×	`add-cbrt-cube` `add-exp-log` `associate-/l*` `add-log-exp`
2×	`pow1` `flip3--` `associate-/r/` `insert-posit16` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `frac-sub` `flip-+` `div-inv`

Counts

2 → 83

Calls

2 calls:

Slowest

64.0ms	(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
17.0ms	(/ (+ x 1) (- x 1))

series135.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

95.0ms	(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
40.0ms	(/ (+ x 1) (- x 1))

simplify839.0ms

Counts: 89 → 89

prune796.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

8.8b	(+ (+ (/ 3 x) (/ 3 (* (* x x) x))) (/ 1 (* x x)))
0.5b	(/ 3 (* (* x x) x))
0.1b	(/ 1 (* x x))
0.1b	(* (* x x) x)

rewrite260.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1`
29×	`add-exp-log`
23×	`add-cbrt-cube`
17×	`*-un-lft-identity`
10×	`add-sqr-sqrt`
9×	`prod-exp` `add-cube-cbrt` `add-log-exp`
7×	`pow-plus` `div-exp` `pow-prod-up` `cbrt-unprod`
6×	`times-frac` `pow-flip` `distribute-lft-out` `associate-/l*`
5×	`cbrt-undiv`
4×	`pow-prod-down` `frac-add` `insert-posit16` `div-inv`
3×	`pow2` `sum-log` `associate-r` `pow-sqr`
2×	`rec-exp` `clear-num` `associate-/r*` `frac-2neg` `flip3-+` `1-exp` `flip-+`
1×	`+-commutative` `associate-+l+` `associate-l` `pow3` `*-commutative` `inv-pow` `unswap-sqr`

Counts

4 → 107

Calls

4 calls:

Slowest

203.0ms	(+ (+ (/ 3 x) (/ 3 (* (* x x) x))) (/ 1 (* x x)))
26.0ms	(/ 3 (* (* x x) x))
17.0ms	(* (* x x) x)
12.0ms	(/ 1 (* x x))

series198.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

72.0ms	(/ 3 (* (* x x) x))
66.0ms	(* (* x x) x)
39.0ms	(+ (+ (/ 3 x) (/ 3 (* (* x x) x))) (/ 1 (* x x)))
20.0ms	(/ 1 (* x x))

simplify3.4s

Counts: 119 → 119

prune1.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

19.9b	(- (* x (- x 1)) (* (+ x 1) (+ x 1)))
0.0b	(/ (- (* x (- x 1)) (* (+ x 1) (+ x 1))) (* (+ x 1) (- x 1)))
0.0b	(* (+ x 1) (+ x 1))
0.0b	(* x (- x 1))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

46×	`associate-*r/`
33×	`flip3-+` `flip-+`
32×	`frac-sub`
29×	`*-un-lft-identity`
24×	`frac-times`
22×	`flip3--` `flip--`
20×	`add-sqr-sqrt`
18×	`associate-/l/`
13×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`associate-*l/` `add-cube-cbrt`
11×	`associate-r`
8×	`associate-/r/`
7×	`associate-l`
6×	`distribute-rgt-in` `distribute-lft-in` `swap-sqr` `distribute-lft-out` `add-log-exp`
5×	`sub-neg`
4×	`associate--l+` `insert-posit16`
3×	`times-frac` `prod-exp` `cbrt-unprod` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `associate--r+` `difference-of-squares` `unswap-sqr`
1×	`pow2` `clear-num` `associate-/r*` `frac-2neg` `pow-plus` `diff-log` `difference-of-sqr-1` `div-sub` `pow-sqr` `pow-prod-up` `div-inv` `distribute-lft-out--`

Counts

4 → 154

Calls

4 calls:

Slowest

41.0ms	(/ (- (* x (- x 1)) (* (+ x 1) (+ x 1))) (* (+ x 1) (- x 1)))
28.0ms	(* x (- x 1))
28.0ms	(* (+ x 1) (+ x 1))
15.0ms	(- (* x (- x 1)) (* (+ x 1) (+ x 1)))

series208.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

78.0ms	(/ (- (* x (- x 1)) (* (+ x 1) (+ x 1))) (* (+ x 1) (- x 1)))
61.0ms	(- (* x (- x 1)) (* (+ x 1) (+ x 1)))
48.0ms	(* x (- x 1))
20.0ms	(* (+ x 1) (+ x 1))

simplify1.4s

Counts: 166 → 166

prune1.5s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize42.0ms

Local error

Found 3 expressions with local error:

15.8b	(/ (- (+ (* 3 x) 1)) (* (+ x 1) (- x 1)))
0.0b	(+ (* 3 x) 1)
0.0b	(* (+ x 1) (- x 1))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
11×	`add-cube-cbrt`
10×	`times-frac` `add-cbrt-cube` `add-exp-log` `associate-/l*`
8×	`frac-times` `flip3-+` `associate-/r/` `flip-+`
7×	`associate-r`
6×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `flip3--` `flip--`
5×	`pow1` `add-log-exp`
4×	`associate-l` `associate-l/` `associate-r/`
3×	`insert-posit16`
2×	`distribute-rgt-in` `cbrt-undiv` `neg-mul-1` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `cbrt-unprod` `distribute-neg-frac` `difference-of-squares` `associate-/l/`
1×	`neg-sub0` `+-commutative` `clear-num` `associate-/r` `sum-log` `frac-2neg` `difference-of-sqr-1` `div-sub` `pow-prod-down` `distribute-frac-neg` `-commutative` `div-inv` `distribute-lft-out` `distribute-lft-out--` `unswap-sqr`

Counts

3 → 96

Calls

3 calls:

Slowest

55.0ms	(/ (- (+ (* 3 x) 1)) (* (+ x 1) (- x 1)))
50.0ms	(* (+ x 1) (- x 1))
12.0ms	(+ (* 3 x) 1)

series238.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

91.0ms	(* (+ x 1) (- x 1))
78.0ms	(/ (- (+ (* 3 x) 1)) (* (+ x 1) (- x 1)))
68.0ms	(+ (* 3 x) 1)

simplify565.0ms

Counts: 105 → 105

prune1.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes83.0ms

Accuracy

97.7% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 14.9b

bsearch124.0ms

end0.0ms

sample2.3s

Algorithm

intervals

Results

810.0ms	4171×	body	80	valid
786.0ms	1681×	body	1280	valid
407.0ms	1242×	body	640	valid
128.0ms	597×	body	320	valid
44.0ms	309×	body	160	valid