Details

sample51.0ms

Algorithm

intervals

Results

17.0ms	63×	body	640	valid
9.0ms	129×	body	80	valid
8.0ms	32×	body	320	valid
6.0ms	16×	body	1280	valid
3.0ms	18×	body	160	valid

simplify87.0ms

Calls

1 calls:

Slowest

86.0ms

(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.4b

localize20.0ms

Local error

Found 4 expressions with local error:

2.2b	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))
0.0b	(/ 1 (+ x 1))
0.0b	(- (/ 1 (+ x 1)) (/ 2 x))
0.0b	(/ 1 (- x 1))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

48×	`prod-diff`
45×	`*-un-lft-identity`
32×	`add-sqr-sqrt`
30×	`div-inv`
28×	`add-cube-cbrt`
26×	`associate-+l+`
22×	`associate-/r/`
11×	`flip3-+` `flip-+` `add-log-exp`
8×	`distribute-lft-out--`
6×	`pow1` `associate-/r*` `fma-def` `fma-neg` `add-exp-log` `distribute-lft-out`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u`
3×	`flip3--` `frac-add` `flip--`
2×	`rec-exp` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `frac-sub` `pow-flip` `inv-pow` `difference-of-squares`
1×	`+-commutative` `associate-+l-`

Calls

4 calls:

Slowest

37.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))
8.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
2.0ms	(/ 1 (- x 1))
1.0ms	(/ 1 (+ x 1))

series62.0ms

Calls

4 calls:

Slowest

39.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))
10.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
6.0ms	(/ 1 (- x 1))
6.0ms	(/ 1 (+ x 1))

simplify12.9s

Calls

127 calls:

Slowest

444.0ms	(* (* (+ x 1) x) (- x 1))
439.0ms	(+ (* (- (* (/ 1 (+ x 1)) (/ 1 (+ x 1))) (* (/ 2 x) (/ 2 x))) (- x 1)) (* (+ (/ 1 (+ x 1)) (/ 2 x)) 1))
422.0ms	(* (+ (/ 1 (+ x 1)) (/ 2 x)) (- x 1))
420.0ms	(* (+ (* (/ 1 (+ x 1)) (/ 1 (+ x 1))) (+ (* (/ 2 x) (/ 2 x)) (* (/ 1 (+ x 1)) (/ 2 x)))) (- x 1))
355.0ms	(fma (/ 1 (+ (pow x 3) (pow 1 3))) (+ (* x x) (- (* 1 1) (* x 1))) (- (* (/ 2 x) 1)))

prune1.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize41.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 2 (* x x))
0.2b	(/ 2 (pow x 7))
0.1b	(/ 2 (pow x 5))
0.1b	(/ (/ 2 (* x x)) x)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `associate-/r` `-un-lft-identity` `add-cube-cbrt`
5×	`div-inv`
4×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `associate-/l*` `add-log-exp`
1×	`associate-/l/`

Calls

4 calls:

Slowest

7.0ms	(/ (/ 2 (* x x)) x)
1.0ms	(/ 2 (pow x 5))
1.0ms	(/ 2 (pow x 7))
0.0ms	(/ 2 (* x x))

series75.0ms

Calls

4 calls:

Slowest

25.0ms	(/ (/ 2 (* x x)) x)
22.0ms	(/ 2 (pow x 7))
18.0ms	(/ 2 (pow x 5))
10.0ms	(/ 2 (* x x))

simplify184.0ms

Calls

20 calls:

Slowest

18.0ms	(* (cbrt (/ 2 (* x x))) (cbrt (/ 2 (* x x))))
15.0ms	(sqrt (/ 2 (* x x)))
12.0ms	(/ 2 (pow x 2))
12.0ms	(/ 2 (pow x 2))
12.0ms	(/ 2 (pow x 2))

prune781.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ 2 x) x)
0.2b	(/ 2 (pow x 7))
0.1b	(/ 2 (pow x 5))
0.1b	(/ (/ (/ 2 x) x) x)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `-un-lft-identity` `add-cube-cbrt` `associate-/l`
6×	`associate-/r*` `div-inv`
4×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`associate-/l/`

Calls

4 calls:

Slowest

13.0ms	(/ (/ (/ 2 x) x) x)
3.0ms	(/ (/ 2 x) x)
1.0ms	(/ 2 (pow x 7))
1.0ms	(/ 2 (pow x 5))

series90.0ms

Calls

4 calls:

Slowest

26.0ms	(/ (/ (/ 2 x) x) x)
25.0ms	(/ 2 (pow x 5))
22.0ms	(/ 2 (pow x 7))
17.0ms	(/ (/ 2 x) x)

simplify190.0ms

Calls

24 calls:

Slowest

20.0ms	(/ 2 (pow x 3))
18.0ms	(* (cbrt (/ (/ 2 x) x)) (cbrt (/ (/ 2 x) x)))
16.0ms	(/ 2 (pow x 3))
11.0ms	(sqrt (/ (/ 2 x) x))
10.0ms	(/ 2 (pow x 3))

prune784.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

30.2b	(sqrt (/ (/ 2 x) x))
30.2b	(sqrt (/ (/ 2 x) x))
0.2b	(/ (/ 2 x) x)
0.2b	(/ (/ 2 x) x)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`-un-lft-identity` `add-cube-cbrt` `sqrt-prod` `associate-/l`
6×	`div-inv`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `clear-num` `frac-2neg` `pow1/2` `sqrt-div` `associate-/l/`

Calls

4 calls:

Slowest

6.0ms	(/ (/ 2 x) x)
6.0ms	(/ (/ 2 x) x)
3.0ms	(sqrt (/ (/ 2 x) x))
2.0ms	(sqrt (/ (/ 2 x) x))

series105.0ms

Calls

4 calls:

Slowest

38.0ms	(sqrt (/ (/ 2 x) x))
35.0ms	(sqrt (/ (/ 2 x) x))
16.0ms	(/ (/ 2 x) x)
15.0ms	(/ (/ 2 x) x)

simplify294.0ms

Calls

28 calls:

Slowest

45.0ms	(* -1 (/ (sqrt 2) x))
38.0ms	(* -1 (/ (sqrt 2) x))
21.0ms	(sqrt (sqrt (/ (/ 2 x) x)))
21.0ms	(sqrt (* (cbrt (/ (/ 2 x) x)) (cbrt (/ (/ 2 x) x))))
16.0ms	(sqrt (* (cbrt (/ (/ 2 x) x)) (cbrt (/ (/ 2 x) x))))

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes110.0ms

Accuracy

99.6% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 9.8b

bsearch169.0ms

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.3s	1872×	body	640	valid
571.0ms	4173×	body	80	valid
328.0ms	538×	body	1280	valid
307.0ms	927×	body	320	valid
98.0ms	494×	body	160	valid