Details

sample70.0ms

Algorithm

intervals

Results

10.0ms	74×	body	1280	valid
8.0ms	50×	body	640	valid
5.0ms	163×	body	80	valid
2.0ms	24×	body	320	valid
1.0ms	21×	body	160	valid

simplify555.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

554.0ms

(- (* (+ x 1) (+ x 1)) 1)

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ 2 x) x)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`associate-l`
3×	`pow1` `add-cbrt-cube` `associate-r` `add-exp-log` `add-cube-cbrt`
2×	`associate-*l/`
1×	`expm1-log1p-u` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `insert-posit16` `log1p-expm1-u` `distribute-lft-out` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

Slowest

16.0ms

(* (+ 2 x) x)

series54.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

54.0ms

(* (+ 2 x) x)

simplify901.0ms

Counts

14 → 27

Calls

14 calls:

Slowest

433.0ms	(* (* (* (+ 2 x) (+ 2 x)) (+ 2 x)) (* (* x x) x))
251.0ms	(* (- (* 2 2) (* x x)) x)
129.0ms	(* (+ (pow 2 3) (pow x 3)) x)
18.0ms	(+ (* 2 x) (pow x 2))
17.0ms	(+ (* 2 x) (pow x 2))

prune113.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (sqrt (* (+ 2 x) x)) (sqrt (* (+ 2 x) x)))
0.0b	(* (+ 2 x) x)
0.0b	(* (+ 2 x) x)

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

56×	`pow1`
28×	`sqrt-pow1`
22×	`pow-prod-down`
18×	`associate-*l/`
17×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
12×	`sqrt-div` `associate-l`
11×	`add-cube-cbrt`
10×	`pow1/2` `associate-r` `pow-prod-up`
9×	`add-cbrt-cube` `add-exp-log`
8×	`flip3-+` `flip-+`
6×	`pow-sqr`
4×	`frac-times` `swap-sqr` `sqrt-prod`
3×	`expm1-log1p-u` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-*r/` `distribute-lft-out`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod`

Counts

3 → 108

Calls

3 calls:

Slowest

41.0ms	(* (sqrt (* (+ 2 x) x)) (sqrt (* (+ 2 x) x)))
15.0ms	(* (+ 2 x) x)
13.0ms	(* (+ 2 x) x)

series151.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

61.0ms	(* (sqrt (* (+ 2 x) x)) (sqrt (* (+ 2 x) x)))
48.0ms	(* (+ 2 x) x)
42.0ms	(* (+ 2 x) x)

simplify5.0s

Counts

107 → 117

Calls

107 calls:

Slowest

436.0ms	(* (* (* (sqrt (* (+ 2 x) x)) (sqrt (* (+ 2 x) x))) (sqrt (* (+ 2 x) x))) (* (* (sqrt (* (+ 2 x) x)) (sqrt (* (+ 2 x) x))) (sqrt (* (+ 2 x) x))))
410.0ms	(* (* (* (+ 2 x) (+ 2 x)) (+ 2 x)) (* (* x x) x))
395.0ms	(* (* (* (+ 2 x) (+ 2 x)) (+ 2 x)) (* (* x x) x))
324.0ms	(* (sqrt (* (+ (pow 2 3) (pow x 3)) x)) (sqrt (* (+ (pow 2 3) (pow x 3)) x)))
245.0ms	(* (sqrt (* (- (* 2 2) (* x x)) x)) (sqrt (* (- (* 2 2) (* x x)) x)))

prune547.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

10.8b	(sqrt (* (+ (pow 2 3) (pow x 3)) x))
6.8b	(/ (* (sqrt (* (+ 2 x) x)) (sqrt (* (+ (pow 2 3) (pow x 3)) x))) (sqrt (fma x (+ x -2) 4)))
0.2b	(* (sqrt (* (+ 2 x) x)) (sqrt (* (+ (pow 2 3) (pow x 3)) x)))
0.0b	(* (+ (pow 2 3) (pow x 3)) x)

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

32×	`associate-*l/`
26×	`sqrt-div`
23×	`pow1`
22×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
14×	`flip3-+` `flip-+`
13×	`add-cbrt-cube` `associate-l` `add-exp-log`
12×	`pow-prod-down` `add-cube-cbrt`
10×	`sqrt-pow1`
9×	`sqrt-prod`
8×	`frac-times` `associate-/l/`
7×	`associate-r`
6×	`associate-/r*` `times-frac`
5×	`distribute-lft-out`
4×	`expm1-log1p-u` `unpow-prod-down` `cube-prod` `associate-*r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/2` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `sqrt-unprod` `div-exp` `*-commutative` `unswap-sqr`
1×	`sqrt-undiv` `clear-num` `frac-2neg` `sum-cubes` `div-inv` `associate-/l*`

Counts

4 → 121

Calls

4 calls:

Slowest

51.0ms	(* (sqrt (* (+ 2 x) x)) (sqrt (* (+ (pow 2 3) (pow x 3)) x)))
50.0ms	(/ (* (sqrt (* (+ 2 x) x)) (sqrt (* (+ (pow 2 3) (pow x 3)) x))) (sqrt (fma x (+ x -2) 4)))
29.0ms	(* (+ (pow 2 3) (pow x 3)) x)
13.0ms	(sqrt (* (+ (pow 2 3) (pow x 3)) x))

series706.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

493.0ms	(/ (* (sqrt (* (+ 2 x) x)) (sqrt (* (+ (pow 2 3) (pow x 3)) x))) (sqrt (fma x (+ x -2) 4)))
88.0ms	(* (+ (pow 2 3) (pow x 3)) x)
71.0ms	(sqrt (* (+ (pow 2 3) (pow x 3)) x))
54.0ms	(* (sqrt (* (+ 2 x) x)) (sqrt (* (+ (pow 2 3) (pow x 3)) x)))

simplify13.9s

Counts

99 → 133

Calls

99 calls:

Slowest

371.0ms	(* (sqrt (* (+ 2 x) x)) (sqrt (* (+ (pow 2 3) (pow x 3)) x)))
366.0ms	(cbrt (sqrt (* (+ (pow 2 3) (pow x 3)) x)))
363.0ms	(sqrt (sqrt (* (+ (pow 2 3) (pow x 3)) x)))
347.0ms	(* (sqrt (- 2 x)) (sqrt (- (pow 2 3) (pow x 3))))
343.0ms	(sqrt (* (+ (pow 2 3) (pow x 3)) x))

prune1.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes18.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample968.0ms

Algorithm

intervals

Results

362.0ms	2279×	body	1280	valid
216.0ms	5348×	body	80	valid
197.0ms	1734×	body	640	valid
84.0ms	810×	body	320	valid
23.0ms	436×	body	160	valid