Details

sample301.0ms

Algorithm

intervals

Results

181.0ms	109×	body	1280	valid
70.0ms	78×	body	640	valid
20.0ms	42×	body	320	valid
10.0ms	256×	pre	80	true
7.0ms	24×	body	160	valid
0.0ms	3×	body	80	valid

simplify11.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

11.0ms

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 60.1b

localize19.0ms

Local error

Found 2 expressions with local error:

6.3b	(log (- 1 x))
0.0b	(/ (log (- 1 x)) (log1p x))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`times-frac` `add-cube-cbrt`
7×	`pow1`
6×	`log-prod`
5×	`add-exp-log` `log-pow`
4×	`log-div` `add-cbrt-cube` `associate-/l*`
3×	`associate-/r*`
2×	`expm1-log1p-u` `log1p-def` `flip3--` `div-sub` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp` `difference-of-squares`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `div-exp` `rem-log-exp` `div-inv` `distribute-lft-out--`

Counts

2 → 58

Calls

2 calls:

Slowest

12.0ms	(/ (log (- 1 x)) (log1p x))
4.0ms	(log (- 1 x))

series119.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

85.0ms	(/ (log (- 1 x)) (log1p x))
34.0ms	(log (- 1 x))

simplify3.9s

Counts

50 → 64

Calls

50 calls:

Slowest

910.0ms	(- (+ (/ (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)))))))))))
462.0ms	(- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))
456.0ms	(- (+ (* 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)))))
446.0ms	(/ (* (* (log (- 1 x)) (log (- 1 x))) (log (- 1 x))) (* (* (log1p x) (log1p x)) (log1p x)))
323.0ms	(- (log -1) (+ (log (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))

prune235.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (log1p (- x)) (log1p x))

rewrite9.0ms

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`
1×	`expm1-log1p-u` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 30

Calls

1 calls:

Slowest

8.0ms

(/ (log1p (- x)) (log1p x))

series119.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

119.0ms

(/ (log1p (- x)) (log1p x))

simplify2.0s

Counts

28 → 33

Calls

28 calls:

Slowest

768.0ms	(- (+ (/ (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)))))))))))
431.0ms	(/ (* (* (log1p (- x)) (log1p (- x))) (log1p (- x))) (* (* (log1p x) (log1p x)) (log1p x)))
358.0ms	(- (+ (* 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)))))
141.0ms	(- (+ x (+ (* 1/2 (pow x 2)) 1)))
44.0ms	(/ (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))) (* (cbrt (log1p x)) (cbrt (log1p x))))

prune237.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

Calls

0 calls:

Slowest

series0.0ms

Counts

0 → 0

Calls

0 calls:

Slowest

simplify0.0ms

Counts

0 → 0

Calls

0 calls:

Slowest

prune3.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (log1p x) (sqrt (log1p (- x))))
0.0b	(sqrt (log1p (- x)))
0.0b	(sqrt (log1p (- x)))
0.0b	(/ (sqrt (log1p (- x))) (/ (log1p x) (sqrt (log1p (- x)))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

276×	`times-frac`
160×	`add-sqr-sqrt`
158×	`*-un-lft-identity` `add-cube-cbrt`
150×	`sqrt-prod`
28×	`associate-/r*`
11×	`add-cbrt-cube` `add-exp-log`
9×	`div-inv` `associate-/l*`
6×	`pow1`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2`
1×	`associate-/r/`

Counts

4 → 252

Calls

4 calls:

Slowest

7.0ms	(/ (sqrt (log1p (- x))) (/ (log1p x) (sqrt (log1p (- x)))))
5.0ms	(/ (log1p x) (sqrt (log1p (- x))))
1.0ms	(sqrt (log1p (- x)))
1.0ms	(sqrt (log1p (- x)))

series342.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

154.0ms	(/ (log1p x) (sqrt (log1p (- x))))
91.0ms	(/ (sqrt (log1p (- x))) (/ (log1p x) (sqrt (log1p (- x)))))
49.0ms	(sqrt (log1p (- x)))
48.0ms	(sqrt (log1p (- x)))

simplify17.6s

Counts

364 → 264

Calls

364 calls:

Slowest

698.0ms	(- (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (pow (- (log -1) (log (/ 1 x))) 3))))) (* (/ 1 x) (sqrt (/ 1 (- (log -1) (log (/ 1 x))))))) (+ (* 1/4 (* (/ (log (/ 1 x)) (pow x 2)) (sqrt (/ 1 (pow (- (log -1) (log (/ 1 x))) 3))))) (+ (* 1/2 (* (/ (log (/ 1 x)) x) (sqrt (/ 1 (pow (- (log -1) (log (/ 1 x))) 3))))) (+ (* 3/8 (* (/ (log (/ 1 x)) (pow x 2)) (sqrt (/ 1 (pow (- (log -1) (log (/ 1 x))) 5))))) (+ (* (log (/ 1 x)) (sqrt (/ 1 (- (log -1) (log (/ 1 x)))))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (- (log -1) (log (/ 1 x))))))))))))
691.0ms	(- (+ (/ (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)))))))))))
535.0ms	(/ (* (* (log1p x) (log1p x)) (log1p x)) (* (* (sqrt (log1p (- x))) (sqrt (log1p (- x)))) (sqrt (log1p (- x)))))
524.0ms	(/ (* (* (sqrt (log1p (- x))) (sqrt (log1p (- x)))) (sqrt (log1p (- x)))) (/ (* (* (log1p x) (log1p x)) (log1p x)) (* (* (sqrt (log1p (- x))) (sqrt (log1p (- x)))) (sqrt (log1p (- x))))))
462.0ms	(- (sqrt (- (log (/ -1 x)))) (+ (* 1/4 (/ 1 (* (pow x 2) (sqrt (- (log (/ -1 x))))))) (+ (* 1/2 (/ 1 (* x (sqrt (- (log (/ -1 x))))))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (- (log (/ -1 x)))) 3)))))))

prune2.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes31.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample9.1s

Algorithm

intervals

Results

5.3s	3365×	body	1280	valid
2.1s	2542×	body	640	valid
719.0ms	8000×	pre	80	true
567.0ms	1219×	body	320	valid
201.0ms	652×	body	160	valid
27.0ms	222×	body	80	valid