Details

sample28.0ms

Algorithm

intervals

Results

19.0ms

256×

body

valid

simplify16.0ms

Calls

1 calls:

Slowest

16.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.5b

localize16.0ms

Local error

Found 1 expressions with local error:

14.5b

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

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity`
15×	`times-frac`
11×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`distribute-lft-out`
5×	`associate-/r*`
4×	`associate-l`
3×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
2×	`associate-/r/`
1×	`pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `insert-posit16` `div-inv` `add-log-exp`

Calls

1 calls:

Slowest

47.0ms

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

series62.0ms

Calls

1 calls:

Slowest

62.0ms

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

simplify2.0s

Calls

44 calls:

Slowest

324.0ms	(/ (* (* x x) x) (* (* (+ (* x x) 1) (+ (* x x) 1)) (+ (* x x) 1)))
317.0ms	(+ (* (* x x) (* x x)) (- (* 1 1) (* (* x x) 1)))
277.0ms	(- (+ x (pow x 5)) (pow x 3))
257.0ms	(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
217.0ms	(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))

prune284.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

14.5b	(/ (+ (* x x) 1) x)
0.1b	(/ 1 (/ (+ (* x x) 1) x))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

143×	`*-un-lft-identity`
132×	`times-frac`
70×	`add-sqr-sqrt` `add-cube-cbrt`
36×	`distribute-lft-out`
25×	`associate-/r*`
18×	`associate-l`
16×	`associate-/l*`
15×	`add-exp-log`
13×	`associate-/r/`
9×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv`
4×	`cbrt-undiv` `clear-num` `remove-double-div` `associate-/l/`
3×	`pow1` `frac-2neg`
2×	`rec-exp` `flip3-+` `1-exp` `flip-+` `insert-posit16` `add-log-exp`
1×	`pow-flip` `inv-pow`

Calls

2 calls:

Slowest

77.0ms	(/ 1 (/ (+ (* x x) 1) x))
48.0ms	(/ (+ (* x x) 1) x)

series181.0ms

Calls

2 calls:

Slowest

121.0ms	(/ (+ (* x x) 1) x)
60.0ms	(/ 1 (/ (+ (* x x) 1) x))

simplify9.3s

Calls

201 calls:

Slowest

522.0ms	(/ (* (* (+ (* x x) 1) (+ (* x x) 1)) (+ (* x x) 1)) (* (* x x) x))
505.0ms	(/ (* (* 1 1) 1) (/ (* (* (+ (* x x) 1) (+ (* x x) 1)) (+ (* x x) 1)) (* (* x x) x)))
474.0ms	(* x (+ (* (* x x) (* x x)) (- (* 1 1) (* (* x x) 1))))
339.0ms	(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ (* x x) 1)) (cbrt (+ (* x x) 1))) (* (cbrt x) (cbrt x))))
290.0ms	(- (+ x (pow x 5)) (pow x 3))

prune1.0s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity`
15×	`times-frac`
12×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`distribute-lft-out`
6×	`add-exp-log` `div-inv`
5×	`associate-/r*`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow1` `associate-/l*`
2×	`flip3-+` `div-exp` `associate-/r/` `flip-+` `insert-posit16`
1×	`cbrt-undiv` `+-commutative` `rec-exp` `clear-num` `sum-log` `frac-2neg` `1-exp` `pow-flip` `inv-pow`

Calls

2 calls:

Slowest

13.0ms	(/ 1 (+ x (/ 1 x)))
6.0ms	(+ x (/ 1 x))

series82.0ms

Calls

2 calls:

Slowest

43.0ms	(/ 1 (+ x (/ 1 x)))
40.0ms	(+ x (/ 1 x))

simplify1.9s

Calls

52 calls:

Slowest

393.0ms	(/ (* (* 1 1) 1) (* (* (+ x (/ 1 x)) (+ x (/ 1 x))) (+ x (/ 1 x))))
279.0ms	(- (+ x (pow x 5)) (pow x 3))
250.0ms	(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
178.0ms	(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
161.0ms	(+ (* x x) (- (* (/ 1 x) (/ 1 x)) (* x (/ 1 x))))

prune362.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes48.0ms

Accuracy

0% (0.1b remaining)

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

bsearch1.0ms

end0.0ms

sample630.0ms

Algorithm

intervals

Results

519.0ms

8000×

body

valid