Details

sample60.0ms

Algorithm

intervals

Results

21.0ms	64×	body	640	valid
11.0ms	38×	body	320	valid
11.0ms	130×	body	80	valid
4.0ms	25×	body	160	valid

simplify29.0ms

Calls

1 calls:

Slowest

29.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.5b

localize20.0ms

Local error

Found 2 expressions with local error:

2.8b	(- (/ 1 (+ x 1)) (/ 1 x))
0.0b	(/ 1 (+ x 1))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `div-inv`
4×	`distribute-lft-out--` `add-log-exp`
3×	`pow1` `associate-/r*` `add-exp-log` `add-cube-cbrt`
2×	`add-cbrt-cube` `associate-/r/` `insert-posit16`
1×	`rec-exp` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `flip3--` `diff-log` `frac-sub` `flip-+` `pow-flip` `flip--` `inv-pow` `difference-of-squares`

Calls

2 calls:

Slowest

11.0ms	(- (/ 1 (+ x 1)) (/ 1 x))
2.0ms	(/ 1 (+ x 1))

series39.0ms

Calls

2 calls:

Slowest

28.0ms	(- (/ 1 (+ x 1)) (/ 1 x))
11.0ms	(/ 1 (+ x 1))

simplify828.0ms

Calls

21 calls:

Slowest

100.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
98.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
89.0ms	(- (+ (/ 1 (pow x 3)) (/ 1 x)) (/ 1 (pow x 2)))
83.0ms	(+ (* x x) (- (* 1 1) (* x 1)))
69.0ms	(- 1 (+ x (/ 1 x)))

prune338.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.2b	(/ -1 (+ (* x x) x))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

4×	`associate-/r*`
2×	`add-sqr-sqrt` `*-un-lft-identity` `associate-/r/` `add-cube-cbrt`
1×	`pow1` `clear-num` `frac-2neg` `distribute-lft1-in` `flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `insert-posit16` `div-inv` `add-log-exp`

Calls

1 calls:

Slowest

1.0ms

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

series9.0ms

Calls

1 calls:

Slowest

9.0ms

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

simplify685.0ms

Calls

8 calls:

Slowest

295.0ms	(+ (* (* x x) (* x x)) (- (* x x) (* (* x x) x)))
132.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
102.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
87.0ms	(- 1 (+ x (/ 1 x)))
23.0ms	(sqrt (+ (* x x) x))

prune124.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (/ -1 (+ x 1)) x)
0.0b	(/ -1 (+ x 1))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`associate-/l*`
4×	`add-sqr-sqrt` `*-un-lft-identity` `associate-/r/` `add-cube-cbrt`
3×	`associate-/r*` `div-inv`
2×	`pow1` `clear-num` `frac-2neg` `flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `insert-posit16` `add-log-exp`
1×	`associate-/l/`

Calls

2 calls:

Slowest

7.0ms	(/ (/ -1 (+ x 1)) x)
1.0ms	(/ -1 (+ x 1))

series18.0ms

Calls

2 calls:

Slowest

11.0ms	(/ (/ -1 (+ x 1)) x)
6.0ms	(/ -1 (+ x 1))

simplify758.0ms

Calls

15 calls:

Slowest

141.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
114.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
99.0ms	(- (/ 1 (pow x 2)) (+ (/ 1 (pow x 3)) (/ 1 x)))
98.0ms	(- (/ 1 (pow x 2)) (+ (/ 1 (pow x 3)) (/ 1 x)))
75.0ms	(+ (* x x) (- (* 1 1) (* x 1)))

prune314.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ -1 (sqrt (+ x 1)))
0.1b	(/ (/ -1 (sqrt (+ x 1))) (sqrt (+ x 1)))
0.0b	(/ (/ (/ -1 (sqrt (+ x 1))) (sqrt (+ x 1))) x)
0.0b	(sqrt (+ x 1))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

72×	`times-frac`
48×	`add-sqr-sqrt` `associate-/l*`
47×	`*-un-lft-identity` `add-cube-cbrt`
45×	`sqrt-prod`
34×	`sqrt-div`
32×	`associate-/r/`
17×	`flip3-+` `flip-+` `div-inv`
12×	`associate-/r*`
6×	`add-cbrt-cube` `add-exp-log`
4×	`pow1` `insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`associate-/l/`
1×	`cbrt-undiv` `rem-sqrt-square` `pow1/2` `div-exp`

Calls

4 calls:

Slowest

18.0ms	(/ (/ (/ -1 (sqrt (+ x 1))) (sqrt (+ x 1))) x)
8.0ms	(/ (/ -1 (sqrt (+ x 1))) (sqrt (+ x 1)))
1.0ms	(sqrt (+ x 1))
1.0ms	(/ -1 (sqrt (+ x 1)))

series77.0ms

Calls

4 calls:

Slowest

28.0ms	(/ -1 (sqrt (+ x 1)))
19.0ms	(/ (/ (/ -1 (sqrt (+ x 1))) (sqrt (+ x 1))) x)
18.0ms	(sqrt (+ x 1))
11.0ms	(/ (/ -1 (sqrt (+ x 1))) (sqrt (+ x 1)))

simplify5.5s

Calls

154 calls:

Slowest

364.0ms	(/ (* (* (/ -1 (sqrt (+ x 1))) (/ -1 (sqrt (+ x 1)))) (/ -1 (sqrt (+ x 1)))) (* (* (sqrt (+ x 1)) (sqrt (+ x 1))) (sqrt (+ x 1))))
109.0ms	(- (/ 1 (pow x 2)) (+ (/ 1 (pow x 3)) (/ 1 x)))
108.0ms	(- (+ (* 1/2 x) 1) (* 1/8 (pow x 2)))
104.0ms	(/ (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (cbrt (sqrt (+ x 1))))
104.0ms	(/ (/ -1 (sqrt (+ x 1))) (sqrt (- (* x x) (* 1 1))))

prune1.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes23.0ms

Accuracy

0% (0.1b remaining)

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

bsearch1.0ms

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.0s	1906×	body	640	valid
388.0ms	1204×	body	320	valid
321.0ms	4219×	body	80	valid
102.0ms	674×	body	160	valid