Details

sample308.0ms

Algorithm

intervals

Results

190.0ms	106×	body	1280	valid
70.0ms	88×	body	640	valid
18.0ms	41×	body	320	valid
10.0ms	256×	pre	80	true
5.0ms	18×	body	160	valid
0.0ms	3×	body	80	valid

simplify12.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

12.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.3b

localize13.0ms

Local error

Found 3 expressions with local error:

5.6b	(log (- 1 x))
5.5b	(log (+ 1 x))
0.0b	(/ (log (- 1 x)) (log (+ 1 x)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
16×	`times-frac`
15×	`pow1` `add-cube-cbrt`
12×	`log-pow`
10×	`log-prod`
7×	`add-exp-log`
6×	`log-div`
5×	`add-cbrt-cube`
4×	`associate-/r` `associate-/l`
3×	`insert-posit16` `add-log-exp`
2×	`flip3--` `div-sub` `rem-log-exp` `flip--` `difference-of-squares`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv` `distribute-lft-out` `distribute-lft-out--`

Counts

3 → 73

Calls

3 calls:

Slowest

12.0ms	(/ (log (- 1 x)) (log (+ 1 x)))
4.0ms	(log (- 1 x))
3.0ms	(log (+ 1 x))

series170.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

114.0ms	(/ (log (- 1 x)) (log (+ 1 x)))
34.0ms	(log (- 1 x))
21.0ms	(log (+ 1 x))

simplify4.3s

Counts

67 → 82

Calls

67 calls:

Slowest

686.0ms	(- (+ (/ (log (/ -1 x)) (* x (pow (- (log -1) (log (/ -1 x))) 2))) (/ 1 (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2)))) (+ (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x)))) (+ (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 3))) (+ (/ 1 (* x (- (log -1) (log (/ -1 x))))) (+ (* 1/2 (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2)))) (* 1/2 (/ 1 (* (pow x 2) (- (log -1) (log (/ -1 x)))))))))))
387.0ms	(/ (* (* (log (- 1 x)) (log (- 1 x))) (log (- 1 x))) (* (* (log (+ 1 x)) (log (+ 1 x))) (log (+ 1 x))))
367.0ms	(- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))
366.0ms	(- (+ (* 2 (/ 1 (* (pow (log (/ 1 x)) 2) (pow x 2)))) (+ (* 2 (/ 1 (* (log (/ 1 x)) x))) (+ (* 1/2 (/ (log -1) (* (pow (log (/ 1 x)) 2) (pow x 2)))) 1))) (+ (/ (log -1) (* (pow (log (/ 1 x)) 3) (pow x 2))) (+ (/ (log -1) (log (/ 1 x))) (/ (log -1) (* (pow (log (/ 1 x)) 2) x)))))
318.0ms	(/ (log (- (pow 1 3) (pow x 3))) (log (+ 1 x)))

prune701.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (* x x) -1/2)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`add-sqr-sqrt` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`*-un-lft-identity` `add-cube-cbrt`
1×	`associate-l` `*-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`

Counts

1 → 20

Calls

1 calls:

Slowest

14.0ms

(* (* x x) -1/2)

series29.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

29.0ms

(* (* x x) -1/2)

simplify561.0ms

Counts

13 → 23

Calls

13 calls:

Slowest

262.0ms	(* (* (* (* x x) (* x x)) (* x x)) (* (* -1/2 -1/2) -1/2))
175.0ms	(* (* (* (* x x) x) (* (* x x) x)) (* (* -1/2 -1/2) -1/2))
21.0ms	(+ (log (* x x)) (log -1/2))
21.0ms	(* -1/2 (pow x 2))
20.0ms	(* -1/2 (pow x 2))

prune172.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes47.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch2.0ms

end0.0ms

sample9.1s

Algorithm

intervals

Results

5.7s	3406×	body	1280	valid
2.1s	2491×	body	640	valid
582.0ms	1217×	body	320	valid
344.0ms	8000×	pre	80	true
230.0ms	664×	body	160	valid
25.0ms	222×	body	80	valid