Details

sample33.0ms

Algorithm

intervals

Results

11.0ms	61×	body	640	valid
7.0ms	135×	body	80	valid
6.0ms	41×	body	320	valid
2.0ms	19×	body	160	valid

simplify25.0ms

Calls

1 calls:

Slowest

25.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.9b

localize11.0ms

Local error

Found 2 expressions with local error:

3.6b	(- (/ 1 (+ x 1)) (/ 1 x))
0.0b	(/ 1 (+ x 1))

rewrite10.0ms

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

7.0ms	(- (/ 1 (+ x 1)) (/ 1 x))
2.0ms	(/ 1 (+ x 1))

series52.0ms

Calls

2 calls:

Slowest

38.0ms	(- (/ 1 (+ x 1)) (/ 1 x))
14.0ms	(/ 1 (+ x 1))

simplify878.0ms

Calls

21 calls:

Slowest

112.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
97.0ms	(- (+ (/ 1 (pow x 3)) (/ 1 x)) (/ 1 (pow x 2)))
91.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
89.0ms	(+ (* x x) (- (* 1 1) (* x 1)))
85.0ms	(- (+ (/ 1 (pow x 3)) (/ 1 x)) (/ 1 (pow x 2)))

prune295.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

4×	`associate-/r*`
3×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
2×	`pow1` `distribute-lft1-in` `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) x)
3.0ms	(/ -1 (+ (* x x) x))

series72.0ms

Calls

2 calls:

Slowest

48.0ms	(+ (* x x) x)
24.0ms	(/ -1 (+ (* x x) x))

simplify599.0ms

Calls

12 calls:

Slowest

223.0ms	(+ (* (* x x) (* x x)) (- (* x x) (* (* x x) x)))
110.0ms	(- (/ 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))))
80.0ms	(- 1 (+ x (/ 1 x)))
26.0ms	(sqrt (+ (* x x) x))

prune252.0ms

Pruning

3 alts after pruning (2 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))

rewrite4.0ms

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

4.0ms	(/ (/ -1 (+ x 1)) x)
1.0ms	(/ -1 (+ x 1))

series53.0ms

Calls

2 calls:

Slowest

30.0ms	(/ (/ -1 (+ x 1)) x)
24.0ms	(/ -1 (+ x 1))

simplify760.0ms

Calls

15 calls:

Slowest

133.0ms	(- (/ 1 (pow x 2)) (+ (/ 1 (pow x 3)) (/ 1 x)))
123.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
109.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
88.0ms	(- (/ 1 (pow x 2)) (+ (/ 1 (pow x 3)) (/ 1 x)))
64.0ms	(+ (* x x) (- (* 1 1) (* x 1)))

prune300.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

20.1b	(* (/ -1 (+ (pow x 3) (pow 1 3))) (+ (- 1 x) (* x x)))
0.2b	(/ -1 (+ (pow x 3) (pow 1 3)))
0.1b	(/ (* (/ -1 (+ (pow x 3) (pow 1 3))) (+ (- 1 x) (* x x))) x)
0.0b	(+ (- 1 x) (* x x))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

14.0ms	(/ (* (/ -1 (+ (pow x 3) (pow 1 3))) (+ (- 1 x) (* x x))) x)
10.0ms	(* (/ -1 (+ (pow x 3) (pow 1 3))) (+ (- 1 x) (* x x)))
4.0ms	(+ (- 1 x) (* x x))
3.0ms	(/ -1 (+ (pow x 3) (pow 1 3)))

series261.0ms

Calls

4 calls:

Slowest

93.0ms	(/ (* (/ -1 (+ (pow x 3) (pow 1 3))) (+ (- 1 x) (* x x))) x)
77.0ms	(/ -1 (+ (pow x 3) (pow 1 3)))
63.0ms	(* (/ -1 (+ (pow x 3) (pow 1 3))) (+ (- 1 x) (* x x)))
28.0ms	(+ (- 1 x) (* x x))

simplify6.7s

Calls

46 calls:

Slowest

628.0ms	(* (/ -1 (+ (pow x 3) (pow 1 3))) (+ (pow (- 1 x) 3) (pow (* x x) 3)))
494.0ms	(* (+ (pow x 3) (pow 1 3)) (+ (* (- 1 x) (- 1 x)) (- (* (* x x) (* x x)) (* (- 1 x) (* x x)))))
431.0ms	(* (* (* (/ -1 (+ (pow x 3) (pow 1 3))) (/ -1 (+ (pow x 3) (pow 1 3)))) (/ -1 (+ (pow x 3) (pow 1 3)))) (* (* (+ (- 1 x) (* x x)) (+ (- 1 x) (* x x))) (+ (- 1 x) (* x x))))
421.0ms	(* -1 (+ (pow (- 1 x) 3) (pow (* x x) 3)))
419.0ms	(* -1 (+ (pow (- 1 x) 3) (pow (* x x) 3)))

prune873.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes27.0ms

Accuracy

0% (0.1b remaining)

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

bsearch1.0ms

end0.0ms

sample1.5s

Algorithm

intervals

Results

588.0ms	1995×	body	640	valid
366.0ms	4188×	body	80	valid
303.0ms	1216×	body	320	valid
110.0ms	601×	body	160	valid