Details

sample181.0ms

Algorithm

intervals

Results

13.0ms	84×	body	1280	valid
6.0ms	180×	body	80	valid
5.0ms	45×	body	640	valid
2.0ms	21×	body	320	valid
1.0ms	10×	body	160	valid

simplify588.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

588.0ms

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

prune8.0ms

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)

rewrite21.0ms

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×	`flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `insert-posit16` `distribute-lft-out` `add-log-exp` `unswap-sqr`

Counts

1 → 22

Calls

1 calls:

Slowest

20.0ms

(* (+ 2 x) x)

series52.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

52.0ms

(* (+ 2 x) x)

simplify796.0ms

Counts

14 → 25

Calls

14 calls:

Slowest

373.0ms	(* (* (* (+ 2 x) (+ 2 x)) (+ 2 x)) (* (* x x) x))
201.0ms	(* (- (* 2 2) (* x x)) x)
130.0ms	(* (+ (pow 2 3) (pow x 3)) x)
20.0ms	(+ (* 2 x) (pow x 2))
18.0ms	(+ (* 2 x) (pow x 2))

prune98.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.8b	(cbrt (+ 2 x))
0.8b	(cbrt (+ 2 x))
0.8b	(cbrt (+ 2 x))
0.4b	(* (* (cbrt (+ 2 x)) (cbrt (+ 2 x))) (* (cbrt (+ 2 x)) x))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
32×	`associate-*l/`
30×	`flip3-+` `flip-+`
28×	`frac-times`
16×	`pow1` `add-exp-log`
13×	`*-un-lft-identity`
12×	`cbrt-prod`
10×	`add-cbrt-cube`
8×	`pow-prod-down` `prod-exp` `associate-*r/` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`insert-posit16` `add-log-exp`
3×	`pow1/3` `distribute-lft-out`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 94

Calls

4 calls:

Slowest

49.0ms	(* (* (cbrt (+ 2 x)) (cbrt (+ 2 x))) (* (cbrt (+ 2 x)) x))
3.0ms	(cbrt (+ 2 x))
3.0ms	(cbrt (+ 2 x))
2.0ms	(cbrt (+ 2 x))

series177.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

46.0ms	(* (* (cbrt (+ 2 x)) (cbrt (+ 2 x))) (* (cbrt (+ 2 x)) x))
45.0ms	(cbrt (+ 2 x))
44.0ms	(cbrt (+ 2 x))
41.0ms	(cbrt (+ 2 x))

simplify8.8s

Counts

85 → 106

Calls

85 calls:

Slowest

436.0ms	(* (* (cbrt (- (* 2 2) (* x x))) (cbrt (+ 2 x))) (* (cbrt (+ (pow 2 3) (pow x 3))) x))
372.0ms	(* (* (+ 2 x) (+ 2 x)) (* (+ 2 x) (* (* x x) x)))
335.0ms	(* (* (cbrt (+ 2 x)) (cbrt (+ (pow 2 3) (pow x 3)))) (* (cbrt (+ (pow 2 3) (pow x 3))) x))
333.0ms	(* (* (cbrt (+ (pow 2 3) (pow x 3))) (cbrt (+ (pow 2 3) (pow x 3)))) (* (cbrt (+ 2 x)) x))
298.0ms	(* (* (cbrt (+ 2 x)) (cbrt (+ (pow 2 3) (pow x 3)))) (* (cbrt (+ 2 x)) x))

prune510.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

6.6b	(/ (* x (- 4 (* x x))) (- 2 x))
0.1b	(* x (- 4 (* x x)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 56

Calls

2 calls:

Slowest

14.0ms	(/ (* x (- 4 (* x x))) (- 2 x))
11.0ms	(* x (- 4 (* x x)))

series180.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

110.0ms	(/ (* x (- 4 (* x x))) (- 2 x))
70.0ms	(* x (- 4 (* x x)))

simplify1.9s

Counts

46 → 62

Calls

46 calls:

Slowest

315.0ms	(* (* (* x x) x) (* (* (- 4 (* x x)) (- 4 (* x x))) (- 4 (* x x))))
185.0ms	(/ (* (* (* x (- 4 (* x x))) (* x (- 4 (* x x)))) (* x (- 4 (* x x)))) (* (* (- 2 x) (- 2 x)) (- 2 x)))
158.0ms	(* x (- (* 4 4) (* (* x x) (* x x))))
152.0ms	(/ (* (* (* x x) x) (* (* (- 4 (* x x)) (- 4 (* x x))) (- 4 (* x x)))) (* (* (- 2 x) (- 2 x)) (- 2 x)))
127.0ms	(* x (- (pow 4 3) (pow (* x x) 3)))

prune248.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes20.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample901.0ms

Algorithm

intervals

Results

345.0ms	2253×	body	1280	valid
228.0ms	5478×	body	80	valid
161.0ms	1703×	body	640	valid
62.0ms	843×	body	320	valid
18.0ms	385×	body	160	valid