Details

sample501.0ms

Algorithm

intervals

Results

306.0ms	103×	body	2560	valid
109.0ms	80×	body	1280	valid
41.0ms	35×	body	640	valid
13.0ms	22×	body	320	valid
11.0ms	256×	pre	80	true
5.0ms	13×	body	160	valid
1.0ms	3×	body	80	valid

simplify24.0ms

Calls

1 calls:

Slowest

23.0ms

(- (/ 1 x) (/ 1 (tan x)))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.4b

localize20.0ms

Local error

Found 2 expressions with local error:

3.3b	(- (/ 1 x) (/ 1 (tan x)))
0.0b	(/ 1 (tan x))

rewrite12.0ms

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` `insert-posit16`
1×	`rec-exp` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `tan-quot` `associate-/r/` `frac-sub` `pow-flip` `flip--` `inv-pow` `difference-of-squares`

Calls

2 calls:

Slowest

9.0ms	(- (/ 1 x) (/ 1 (tan x)))
2.0ms	(/ 1 (tan x))

series119.0ms

Calls

2 calls:

Slowest

81.0ms	(- (/ 1 x) (/ 1 (tan x)))
38.0ms	(/ 1 (tan x))

simplify606.0ms

Calls

20 calls:

Slowest

215.0ms	(- (/ 1 x) (+ (* 1/3 x) (* 1/45 (pow x 3))))
74.0ms	(+ (* 1/3 x) (+ (* 1/45 (pow x 3)) (* 2/945 (pow x 5))))
71.0ms	(/ (exp (/ 1 x)) (exp (/ 1 (tan x))))
33.0ms	(- (/ 1 x) (/ 1 (tan x)))
30.0ms	(- (/ 1 x) (/ 1 (tan x)))

prune387.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize39.0ms

Local error

Found 4 expressions with local error:

0.4b	(* x (+ (* x (* 1/45 x)) 1/3))
0.2b	(* 1/45 x)
0.1b	(* x (* 1/45 x))
0.1b	(* (pow x 5) 2/945)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `associate-r` `add-exp-log` `*-commutative` `insert-posit16` `add-log-exp`
3×	`associate-l`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`

Calls

4 calls:

Slowest

9.0ms	(* x (+ (* x (* 1/45 x)) 1/3))
5.0ms	(* (pow x 5) 2/945)
2.0ms	(* x (* 1/45 x))
0.0ms	(* 1/45 x)

series102.0ms

Calls

4 calls:

Slowest

49.0ms	(* x (+ (* x (* 1/45 x)) 1/3))
32.0ms	(* (pow x 5) 2/945)
14.0ms	(* x (* 1/45 x))
6.0ms	(* 1/45 x)

simplify698.0ms

Calls

21 calls:

Slowest

329.0ms	(+ (* (* x (* 1/45 x)) (* x (* 1/45 x))) (- (* 1/3 1/3) (* (* x (* 1/45 x)) 1/3)))
69.0ms	(+ (* 1/3 x) (* 1/45 (pow x 3)))
61.0ms	(+ (* 1/3 x) (* 1/45 (pow x 3)))
43.0ms	(+ (* 1/3 x) (* 1/45 (pow x 3)))
30.0ms	(sqrt (+ (* x (* 1/45 x)) 1/3))

prune511.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.4b	(* x (- (* (* x (* 1/45 x)) (* x (* 1/45 x))) (* 1/3 1/3)))
0.4b	(/ (* x (- (* (* x (* 1/45 x)) (* x (* 1/45 x))) (* 1/3 1/3))) (- (* x (* 1/45 x)) 1/3))
0.2b	(* 1/45 x)
0.2b	(* 1/45 x)

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`add-cbrt-cube` `add-exp-log`
4×	`pow1` `associate-r` `associate-*r/` `insert-posit16` `add-log-exp`
3×	`associate-/r` `times-frac` `flip3--` `-commutative` `flip--`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv` `associate-/l*` `difference-of-squares`

Calls

4 calls:

Slowest

42.0ms	(/ (* x (- (* (* x (* 1/45 x)) (* x (* 1/45 x))) (* 1/3 1/3))) (- (* x (* 1/45 x)) 1/3))
23.0ms	(* x (- (* (* x (* 1/45 x)) (* x (* 1/45 x))) (* 1/3 1/3)))
0.0ms	(* 1/45 x)
0.0ms	(* 1/45 x)

series212.0ms

Calls

4 calls:

Slowest

122.0ms	(/ (* x (- (* (* x (* 1/45 x)) (* x (* 1/45 x))) (* 1/3 1/3))) (- (* x (* 1/45 x)) 1/3))
68.0ms	(* x (- (* (* x (* 1/45 x)) (* x (* 1/45 x))) (* 1/3 1/3)))
11.0ms	(* 1/45 x)
11.0ms	(* 1/45 x)

simplify4.2s

Calls

37 calls:

Slowest

726.0ms	(* x (- (pow (* (* x (* 1/45 x)) (* x (* 1/45 x))) 3) (pow (* 1/3 1/3) 3)))
460.0ms	(/ (* (* (* x (- (* (* x (* 1/45 x)) (* x (* 1/45 x))) (* 1/3 1/3))) (* x (- (* (* x (* 1/45 x)) (* x (* 1/45 x))) (* 1/3 1/3)))) (* x (- (* (* x (* 1/45 x)) (* x (* 1/45 x))) (* 1/3 1/3)))) (* (* (- (* x (* 1/45 x)) 1/3) (- (* x (* 1/45 x)) 1/3)) (- (* x (* 1/45 x)) 1/3)))
395.0ms	(* x (- (* (* (* x (* 1/45 x)) (* x (* 1/45 x))) (* (* x (* 1/45 x)) (* x (* 1/45 x)))) (* (* 1/3 1/3) (* 1/3 1/3))))
275.0ms	(sqrt (- (* (* x (* 1/45 x)) (* x (* 1/45 x))) (* 1/3 1/3)))
268.0ms	(- (* (* x (* 1/45 x)) (* x (* 1/45 x))) (* 1/3 1/3))

prune777.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 1/45 x)
0.2b	(* 1/45 x)
0.2b	(* 1/45 x)
0.1b	(* x (* 1/45 x))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `pow1` `-un-lft-identity` `add-cbrt-cube` `add-exp-log` `-commutative` `add-cube-cbrt` `insert-posit16` `add-log-exp`
1×	`associate-r`

Calls

4 calls:

Slowest

1.0ms	(* x (* 1/45 x))
0.0ms	(* 1/45 x)
0.0ms	(* 1/45 x)
0.0ms	(* 1/45 x)

series37.0ms

Calls

4 calls:

Slowest

17.0ms	(* x (* 1/45 x))
7.0ms	(* 1/45 x)
7.0ms	(* 1/45 x)
6.0ms	(* 1/45 x)

simplify74.0ms

Calls

12 calls:

Slowest

13.0ms	(* 1/45 (pow x 2))
8.0ms	(* 1/45 (pow x 2))
8.0ms	(* 1/45 (pow x 2))
6.0ms	(* 1/45 x)
5.0ms	(* 1/45 x)

prune566.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes30.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample16.4s

Algorithm

intervals

Results

10.0s	3275×	body	2560	valid
4.1s	2536×	body	1280	valid
1.1s	1228×	body	640	valid
467.0ms	606×	body	320	valid
348.0ms	8000×	pre	80	true
183.0ms	310×	body	160	valid
9.0ms	45×	body	80	valid