Details

sample18.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify15.0ms

Counts: 1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.3b

localize21.0ms

Local error

Found 1 expressions with local error:

14.3b

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
3×	`associate-/r` `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`

Counts

1 → 30

Calls

1 calls:

Slowest

16.0ms

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

series62.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

62.0ms

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

simplify1.0s

Counts: 33 → 33

prune230.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

14.7b	(cbrt (+ (* x x) 1))
14.7b	(cbrt (+ (* x x) 1))
14.7b	(cbrt (+ (* x x) 1))
7.3b	(/ x (* (cbrt (+ (* x x) 1)) (cbrt (+ (* x x) 1))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
9×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity` `flip3-+` `add-exp-log` `add-cube-cbrt` `flip-+`
8×	`associate-/r/`
7×	`add-cbrt-cube`
4×	`frac-times` `pow1` `insert-posit16` `add-log-exp`
3×	`times-frac` `pow1/3` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `associate-l/` `associate-r/`
1×	`clear-num` `associate-/r*` `frac-2neg` `prod-exp` `cbrt-unprod` `div-inv`

Counts

4 → 72

Calls

4 calls:

Slowest

34.0ms	(/ x (* (cbrt (+ (* x x) 1)) (cbrt (+ (* x x) 1))))
4.0ms	(cbrt (+ (* x x) 1))
4.0ms	(cbrt (+ (* x x) 1))
4.0ms	(cbrt (+ (* x x) 1))

series622.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

193.0ms	(/ x (* (cbrt (+ (* x x) 1)) (cbrt (+ (* x x) 1))))
166.0ms	(cbrt (+ (* x x) 1))
157.0ms	(cbrt (+ (* x x) 1))
107.0ms	(cbrt (+ (* x x) 1))

simplify969.0ms

Counts: 84 → 84

prune697.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

20.4b	(- (/ (/ 1 x) (* x x)) (/ 1 (* (* x (* x x)) (* x x))))
0.1b	(/ (/ 1 x) (* x x))
0.1b	(* x (* x x))
0.1b	(/ 1 (* (* x (* x x)) (* x x)))

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

115×	`pow1`
104×	`add-exp-log`
52×	`prod-exp` `pow-prod-up`
50×	`add-cbrt-cube`
40×	`times-frac`
31×	`add-sqr-sqrt` `pow-flip`
26×	`*-un-lft-identity` `div-exp`
21×	`add-cube-cbrt`
20×	`cbrt-unprod`
18×	`pow-prod-down`
16×	`associate-/l*`
13×	`cbrt-undiv`
12×	`pow2` `pow-plus` `pow-sqr`
9×	`rec-exp` `1-exp`
8×	`pow-div`
6×	`div-inv` `add-log-exp`
5×	`cube-unmult` `inv-pow`
4×	`insert-posit16` `difference-of-squares`
3×	`associate-l`
2×	`clear-num` `associate-/r*` `frac-2neg` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `associate-r` `*-commutative` `frac-sub` `flip--` `unswap-sqr` `associate-/l/`

Counts

4 → 179

Calls

4 calls:

Slowest

89.0ms	(/ 1 (* (* x (* x x)) (* x x)))
54.0ms	(- (/ (/ 1 x) (* x x)) (/ 1 (* (* x (* x x)) (* x x))))
13.0ms	(* x (* x x))
9.0ms	(/ (/ 1 x) (* x x))

series289.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

137.0ms	(- (/ (/ 1 x) (* x x)) (/ 1 (* (* x (* x x)) (* x x))))
69.0ms	(/ 1 (* (* x (* x x)) (* x x)))
47.0ms	(* x (* x x))
35.0ms	(/ (/ 1 x) (* x x))

simplify6.7s

Counts: 191 → 191

prune1.5s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes66.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.2b

bsearch110.0ms

end0.0ms

sample704.0ms

Algorithm

intervals

Results

526.0ms

8000×

body

valid