Details

sample28.0ms

Algorithm

intervals

Results

20.0ms

256×

body

valid

simplify21.0ms

Calls

1 calls:

Slowest

21.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.4b

localize16.0ms

Local error

Found 2 expressions with local error:

13.4b	(/ x (+ (* x x) 1))
0.0b	(+ (* x x) 1)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

2 calls:

Slowest

4.0ms	(+ (* x x) 1)
3.0ms	(/ x (+ (* x x) 1))

series48.0ms

Calls

2 calls:

Slowest

29.0ms	(/ x (+ (* x x) 1))
19.0ms	(+ (* x x) 1)

simplify681.0ms

Calls

11 calls:

Slowest

298.0ms	(+ (* (* x x) (* x x)) (- (* 1 1) (* (* x x) 1)))
110.0ms	(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
104.0ms	(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
50.0ms	(- (+ x (pow x 5)) (pow x 3))
36.0ms	(- (* x x) 1)

prune311.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

13.3b	(/ (+ (* x x) 1) x)
0.1b	(/ 1 (/ (+ (* x x) 1) x))
0.0b	(+ (* x x) 1)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

3 calls:

Slowest

12.0ms	(/ (+ (* x x) 1) x)
2.0ms	(/ 1 (/ (+ (* x x) 1) x))
2.0ms	(+ (* x x) 1)

series61.0ms

Calls

3 calls:

Slowest

29.0ms	(/ (+ (* x x) 1) x)
17.0ms	(/ 1 (/ (+ (* x x) 1) x))
16.0ms	(+ (* x x) 1)

simplify605.0ms

Calls

18 calls:

Slowest

118.0ms	(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
104.0ms	(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
96.0ms	(- (* (* x x) (* x x)) (* 1 1))
74.0ms	(- (+ x (pow x 5)) (pow x 3))
51.0ms	(+ (pow (* x x) 3) (pow 1 3))

prune410.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

2 calls:

Slowest

3.0ms	(/ 1 (+ x (/ 1 x)))
2.0ms	(+ x (/ 1 x))

series42.0ms

Calls

2 calls:

Slowest

22.0ms	(+ x (/ 1 x))
20.0ms	(/ 1 (+ x (/ 1 x)))

simplify377.0ms

Calls

12 calls:

Slowest

116.0ms	(+ (* x x) (- (* (/ 1 x) (/ 1 x)) (* x (/ 1 x))))
74.0ms	(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
62.0ms	(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
38.0ms	(- (+ x (pow x 5)) (pow x 3))
15.0ms	(sqrt (+ x (/ 1 x)))

prune185.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes68.0ms

Accuracy

0% (0.1b remaining)

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

bsearch2.0ms

end0.0ms

sample601.0ms

Algorithm

intervals

Results

517.0ms

8000×

body

valid