Details

sample264.0ms

Algorithm

intervals

Results

147.0ms	106×	body	1280	valid
77.0ms	88×	body	640	valid
15.0ms	41×	body	320	valid
9.0ms	256×	pre	80	true
4.0ms	18×	body	160	valid
0.0ms	3×	body	80	valid

simplify14.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

13.0ms

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 60.7b

localize10.0ms

Local error

Found 2 expressions with local error:

5.6b	(log (- 1 x))
0.0b	(/ (log (- 1 x)) (log1p x))

rewrite31.0ms

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

24.0ms	(/ (log (- 1 x)) (log1p x))
6.0ms	(log (- 1 x))

series128.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

97.0ms	(/ (log (- 1 x)) (log1p x))
31.0ms	(log (- 1 x))

simplify3.7s

Counts

50 → 64

Calls

50 calls:

Slowest

786.0ms	(- (+ (/ (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)))))))))))
466.0ms	(/ (* (* (log (- 1 x)) (log (- 1 x))) (log (- 1 x))) (* (* (log1p x) (log1p x)) (log1p x)))
384.0ms	(- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))
350.0ms	(- (+ (* 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)))))
302.0ms	(/ (log (- (pow 1 3) (pow x 3))) (log1p x))

prune305.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

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

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize26.0ms

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)))

rewrite39.0ms

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×	`expm1-log1p-u` `log1p-def` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `div-sub` `rem-log-exp` `flip--` `difference-of-squares`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv` `distribute-lft-out` `distribute-lft-out--`

Counts

3 → 82

Calls

3 calls:

Slowest

23.0ms	(/ (log (- 1 x)) (log (+ 1 x)))
9.0ms	(log (- 1 x))
6.0ms	(log (+ 1 x))

series176.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

94.0ms	(/ (log (- 1 x)) (log (+ 1 x)))
43.0ms	(log (+ 1 x))
39.0ms	(log (- 1 x))

simplify4.9s

Counts

69 → 91

Calls

69 calls:

Slowest

722.0ms	(- (+ (/ (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)))))))))))
467.0ms	(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
427.0ms	(- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))
413.0ms	(/ (* (* (log (- 1 x)) (log (- 1 x))) (log (- 1 x))) (* (* (log (+ 1 x)) (log (+ 1 x))) (log (+ 1 x))))
376.0ms	(- (log -1) (+ (log (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))

prune541.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes39.0ms

Accuracy

0% (0.4b remaining)

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

bsearch1.0ms

end0.0ms

sample9.2s

Algorithm

intervals

Results

5.4s	3406×	body	1280	valid
2.5s	2491×	body	640	valid
653.0ms	1217×	body	320	valid
306.0ms	8000×	pre	80	true
175.0ms	664×	body	160	valid
26.0ms	222×	body	80	valid