Details

sample16.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify21.0ms

Calls

1 calls:

Slowest

21.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.3b

localize16.0ms

Local error

Found 1 expressions with local error:

15.3b

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

1 calls:

Slowest

3.0ms

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

series28.0ms

Calls

1 calls:

Slowest

28.0ms

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

simplify585.0ms

Calls

8 calls:

Slowest

296.0ms	(+ (* (* x x) (* x x)) (- (* 1 1) (* (* x x) 1)))
94.0ms	(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
73.0ms	(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
52.0ms	(- (+ x (pow x 5)) (pow x 3))
33.0ms	(- (* x x) 1)

prune112.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

15.2b	(sqrt (+ (* x x) 1))
15.2b	(sqrt (+ (* x x) 1))
0.0b	(/ (/ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)))
0.0b	(/ x (sqrt (+ (* x x) 1)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
31×	`add-sqr-sqrt`
30×	`sqrt-prod`
29×	`*-un-lft-identity` `add-cube-cbrt`
22×	`sqrt-div`
18×	`associate-/r/`
12×	`associate-/r*`
11×	`flip3-+` `flip-+`
9×	`div-inv`
6×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
4×	`pow1` `insert-posit16` `add-log-exp`
2×	`rem-sqrt-square` `clear-num` `frac-2neg` `pow1/2`
1×	`cbrt-undiv` `div-exp` `associate-/l/`

Calls

4 calls:

Slowest

8.0ms	(sqrt (+ (* x x) 1))
7.0ms	(/ (/ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)))
5.0ms	(sqrt (+ (* x x) 1))
2.0ms	(/ x (sqrt (+ (* x x) 1)))

series93.0ms

Calls

4 calls:

Slowest

34.0ms	(/ x (sqrt (+ (* x x) 1)))
24.0ms	(sqrt (+ (* x x) 1))
18.0ms	(sqrt (+ (* x x) 1))
17.0ms	(/ (/ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)))

simplify8.0s

Calls

118 calls:

Slowest

329.0ms	(/ (* (* (/ x (sqrt (+ (* x x) 1))) (/ x (sqrt (+ (* x x) 1)))) (/ x (sqrt (+ (* x x) 1)))) (* (* (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))))
328.0ms	(/ (sqrt (+ (* (* x x) (* x x)) (- (* 1 1) (* (* x x) 1)))) (sqrt (cbrt (+ (* x x) 1))))
310.0ms	(/ (sqrt (+ (* (* x x) (* x x)) (- (* 1 1) (* (* x x) 1)))) (sqrt (sqrt (+ (* x x) 1))))
295.0ms	(/ (sqrt (+ (* (* x x) (* x x)) (- (* 1 1) (* (* x x) 1)))) (cbrt (sqrt (+ (* x x) 1))))
284.0ms	(/ (sqrt (+ (* (* x x) (* x x)) (- (* 1 1) (* (* x x) 1)))) (sqrt (sqrt (+ (* x x) 1))))

prune815.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

19.5b	(- (/ 1 (pow x 5)) (/ (/ (/ 1 x) x) x))
0.3b	(/ 1 (pow x 5))
0.1b	(/ (/ 1 x) x)
0.1b	(/ (/ (/ 1 x) x) x)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

9.0ms	(- (/ 1 (pow x 5)) (/ (/ (/ 1 x) x) x))
5.0ms	(/ (/ (/ 1 x) x) x)
3.0ms	(/ (/ 1 x) x)
1.0ms	(/ 1 (pow x 5))

series88.0ms

Calls

4 calls:

Slowest

45.0ms	(- (/ 1 (pow x 5)) (/ (/ (/ 1 x) x) x))
19.0ms	(/ 1 (pow x 5))
17.0ms	(/ (/ (/ 1 x) x) x)
7.0ms	(/ (/ 1 x) x)

simplify739.0ms

Calls

29 calls:

Slowest

153.0ms	(- (* 1 x) (* (pow x 5) (/ (/ 1 x) x)))
64.0ms	(/ (exp (/ 1 (pow x 5))) (exp (/ (/ (/ 1 x) x) x)))
54.0ms	(- (sqrt (/ 1 (pow x 5))) (sqrt (/ (/ (/ 1 x) x) x)))
52.0ms	(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))
51.0ms	(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

prune544.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes73.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 14.8b

bsearch91.0ms

end0.0ms

sample590.0ms

Algorithm

intervals

Results

484.0ms

8000×

body

valid