Details

sample106.0ms

Algorithm

intervals

Results

13.0ms	84×	body	1280	valid
6.0ms	196×	body	80	valid
5.0ms	47×	body	640	valid
2.0ms	21×	body	320	valid
1.0ms	11×	body	160	valid

simplify2.5s

Counts: 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)

rewrite15.0ms

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

13.0ms

(* (+ 2 x) x)

series55.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

55.0ms

(* (+ 2 x) x)

simplify1.4s

Counts: 25 → 25

prune90.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

7.7b	(/ (* (- 4 (* x x)) x) (- 2 x))
0.1b	(* (- 4 (* x x)) x)
0.0b	(- 4 (* x x))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 66

Calls

3 calls:

Slowest

18.0ms	(/ (* (- 4 (* x x)) x) (- 2 x))
11.0ms	(* (- 4 (* x x)) x)
4.0ms	(- 4 (* x x))

series476.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

361.0ms	(/ (* (- 4 (* x x)) x) (- 2 x))
73.0ms	(* (- 4 (* x x)) x)
41.0ms	(- 4 (* x x))

simplify1.7s

Counts: 75 → 75

prune310.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

7.7b	(/ (* (+ (sqrt 4) x) (* x (- 2 x))) (- 2 x))
0.1b	(* (+ (sqrt 4) x) (* x (- 2 x)))
0.0b	(* x (- 2 x))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 101

Calls

3 calls:

Slowest

34.0ms	(* (+ (sqrt 4) x) (* x (- 2 x)))
32.0ms	(/ (* (+ (sqrt 4) x) (* x (- 2 x))) (- 2 x))
12.0ms	(* x (- 2 x))

series186.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

96.0ms	(* (+ (sqrt 4) x) (* x (- 2 x)))
46.0ms	(* x (- 2 x))
43.0ms	(/ (* (+ (sqrt 4) x) (* x (- 2 x))) (- 2 x))

simplify410.0ms

Counts: 110 → 110

prune495.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ (+ (sqrt 4) x) (/ (- 2 x) (* x (- 2 x))))
0.1b	(/ (- 2 x) (* x (- 2 x)))
0.0b	(* x (- 2 x))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 137

Calls

3 calls:

Slowest

27.0ms	(/ (+ (sqrt 4) x) (/ (- 2 x) (* x (- 2 x))))
13.0ms	(/ (- 2 x) (* x (- 2 x)))
12.0ms	(* x (- 2 x))

series98.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

44.0ms	(/ (+ (sqrt 4) x) (/ (- 2 x) (* x (- 2 x))))
43.0ms	(* x (- 2 x))
10.0ms	(/ (- 2 x) (* x (- 2 x)))

simplify420.0ms

Counts: 146 → 146

prune659.0ms

Pruning

3 alts after pruning (0 fresh and 3 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

sample950.0ms

Algorithm

intervals

Results

310.0ms	2247×	body	1280	valid
233.0ms	5367×	body	80	valid
210.0ms	1671×	body	640	valid
63.0ms	823×	body	320	valid
44.0ms	448×	body	160	valid