Details

sample169.0ms

Algorithm

intervals

Results

63.0ms	57×	body	640	valid
12.0ms	80×	body	1280	valid
7.0ms	165×	body	80	valid
2.0ms	23×	body	320	valid
1.0ms	18×	body	160	valid

simplify607.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

606.0ms

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ 2 x) x)

rewrite17.0ms

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

15.0ms

(* (+ 2 x) x)

series56.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

55.0ms

(* (+ 2 x) x)

simplify914.0ms

Counts

14 → 27

Calls

14 calls:

Slowest

448.0ms	(* (* (* (+ 2 x) (+ 2 x)) (+ 2 x)) (* (* x x) x))
255.0ms	(* (- (* 2 2) (* x x)) x)
124.0ms	(* (+ (pow 2 3) (pow x 3)) x)
17.0ms	(+ (* 2 x) (pow x 2))
16.0ms	(+ (* 2 x) (pow x 2))

prune105.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

5.9b	(/ (* (- 4 (* x x)) x) (- 2 x))
0.1b	(* (- 4 (* x x)) x)

rewrite30.0ms

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-l` `associate-*l/`
3×	`flip3--` `associate-r` `flip--` `difference-of-squares`
2×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `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

17.0ms	(/ (* (- 4 (* x x)) x) (- 2 x))
13.0ms	(* (- 4 (* x x)) x)

series185.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

114.0ms	(/ (* (- 4 (* x x)) x) (- 2 x))
71.0ms	(* (- 4 (* x x)) x)

simplify1.9s

Counts

42 → 62

Calls

42 calls:

Slowest

206.0ms	(* (* (* (- 4 (* x x)) (- 4 (* x x))) (- 4 (* x x))) (* (* x x) x))
200.0ms	(/ (* (* (* (- 4 (* x x)) x) (* (- 4 (* x x)) x)) (* (- 4 (* x x)) x)) (* (* (- 2 x) (- 2 x)) (- 2 x)))
185.0ms	(* (- (* 4 4) (* (* x x) (* x x))) x)
184.0ms	(* (- (* 4 4) (* (* x x) (* x x))) x)
147.0ms	(/ (* (* (* (- 4 (* x x)) (- 4 (* x x))) (- 4 (* x x))) (* (* x x) x)) (* (* (- 2 x) (- 2 x)) (- 2 x)))

prune244.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (- 4 (* x x)) (/ (- 2 x) x))
0.0b	(/ (- 2 x) x)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

166×	`times-frac`
135×	`add-sqr-sqrt`
115×	`*-un-lft-identity`
77×	`add-cube-cbrt`
39×	`difference-of-squares`
22×	`associate-/r*`
19×	`distribute-lft-out--`
9×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
7×	`div-inv`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `flip3--` `div-sub` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp`
1×	`associate-/r/`

Counts

2 → 161

Calls

2 calls:

Slowest

17.0ms	(/ (- 4 (* x x)) (/ (- 2 x) x))
10.0ms	(/ (- 2 x) x)

series160.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

108.0ms	(/ (- 4 (* x x)) (/ (- 2 x) x))
51.0ms	(/ (- 2 x) x)

simplify9.6s

Counts

227 → 167

Calls

227 calls:

Slowest

432.0ms	(- (* 4 4) (* (* x x) (* x x)))
312.0ms	(/ (* (cbrt (- 4 (* x x))) (cbrt (- 4 (* x x)))) (/ (* (cbrt (- 2 x)) (cbrt (- 2 x))) (* (cbrt x) (cbrt x))))
251.0ms	(- (pow 4 3) (pow (* x x) 3))
143.0ms	(/ (* (cbrt (- 4 (* x x))) (cbrt (- 4 (* x x)))) (/ 1 (* (cbrt x) (cbrt x))))
139.0ms	(/ (* (cbrt (- 4 (* x x))) (cbrt (- 4 (* x x)))) (/ 1 (* (cbrt x) (cbrt x))))

prune698.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes17.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample890.0ms

Algorithm

intervals

Results

381.0ms	2349×	body	1280	valid
203.0ms	1677×	body	640	valid
158.0ms	5287×	body	80	valid
62.0ms	822×	body	320	valid
19.0ms	400×	body	160	valid