Details

sample230.0ms

Algorithm

intervals

Results

120.0ms	101×	body	1280	valid
71.0ms	89×	body	640	valid
15.0ms	40×	body	320	valid
8.0ms	256×	pre	80	true
3.0ms	16×	body	160	valid
1.0ms	10×	body	80	valid

simplify12.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

12.0ms

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 58.8b

localize10.0ms

Local error

Found 2 expressions with local error:

5.3b	(log (- 1 x))
0.0b	(/ (log (- 1 x)) (log1p x))

rewrite30.0ms

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))
5.0ms	(log (- 1 x))

series138.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

83.0ms	(/ (log (- 1 x)) (log1p x))
54.0ms	(log (- 1 x))

simplify3.8s

Counts

50 → 64

Calls

50 calls:

Slowest

760.0ms	(- (+ (/ (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)))))))))))
504.0ms	(/ (* (* (log (- 1 x)) (log (- 1 x))) (log (- 1 x))) (* (* (log1p x) (log1p x)) (log1p x)))
418.0ms	(- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))
414.0ms	(- (+ (* 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)))))
347.0ms	(- (log -1) (+ (log (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))

prune426.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite5.0ms

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

4.0ms

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

series72.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

72.0ms

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

simplify2.2s

Counts

28 → 33

Calls

28 calls:

Slowest

891.0ms	(- (+ (/ (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)))))))))))
453.0ms	(/ (* (* (log1p (- x)) (log1p (- x))) (log1p (- x))) (* (* (log1p x) (log1p x)) (log1p x)))
420.0ms	(- (+ (* 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)))
65.0ms	(/ (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))) (* (cbrt (log1p x)) (cbrt (log1p x))))

prune285.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
27×	`times-frac`
10×	`add-cbrt-cube` `add-exp-log`
9×	`associate-/r` `associate-/l`
7×	`cbrt-div`
5×	`frac-times` `associate-*l/`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `associate-*r/` `div-inv`
1×	`cbrt-prod` `pow1/3` `pow3` `rem-cbrt-cube`

Counts

4 → 110

Calls

4 calls:

Slowest

46.0ms	(cbrt (* (* (/ (log1p (- x)) (log1p x)) (/ (log1p (- x)) (log1p x))) (/ (log1p (- x)) (log1p x))))
9.0ms	(/ (log1p (- x)) (log1p x))
8.0ms	(/ (log1p (- x)) (log1p x))
8.0ms	(/ (log1p (- x)) (log1p x))

series404.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

126.0ms	(/ (log1p (- x)) (log1p x))
98.0ms	(/ (log1p (- x)) (log1p x))
96.0ms	(cbrt (* (* (/ (log1p (- x)) (log1p x)) (/ (log1p (- x)) (log1p x))) (/ (log1p (- x)) (log1p x))))
84.0ms	(/ (log1p (- x)) (log1p x))

simplify8.3s

Counts

96 → 122

Calls

96 calls:

Slowest

853.0ms	(- (+ (/ (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)))))))))))
788.0ms	(- (+ (/ (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)))))))))))
780.0ms	(- (+ (/ (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)))))))))))
756.0ms	(- (+ (/ (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)))))))))))
508.0ms	(/ (* (* (log1p (- x)) (log1p (- x))) (log1p (- x))) (* (* (log1p x) (log1p x)) (log1p x)))

prune1.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (log1p (- x)))
0.6b	(cbrt (log1p (- x)))
0.6b	(cbrt (log1p (- x)))
0.6b	(cbrt (log1p x))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 56

Calls

4 calls:

Slowest

1.0ms	(cbrt (log1p (- x)))
1.0ms	(cbrt (log1p (- x)))
1.0ms	(cbrt (log1p x))
1.0ms	(cbrt (log1p (- x)))

series350.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

100.0ms	(cbrt (log1p (- x)))
90.0ms	(cbrt (log1p (- x)))
82.0ms	(cbrt (log1p x))
78.0ms	(cbrt (log1p (- x)))

simplify3.4s

Counts

24 → 68

Calls

24 calls:

Slowest

361.0ms	(- (pow (- (log -1) (log (/ 1 x))) 1/3) (+ (* 1/6 (* (/ 1 (pow x 2)) (pow (/ 1 (pow (- (log -1) (log (/ 1 x))) 2)) 1/3))) (+ (* 1/9 (* (/ 1 (pow x 2)) (pow (/ 1 (pow (- (log -1) (log (/ 1 x))) 5)) 1/3))) (* 1/3 (* (/ 1 x) (pow (/ 1 (pow (- (log -1) (log (/ 1 x))) 2)) 1/3))))))
329.0ms	(- (+ (* 1/3 (* (/ 1 x) (pow (/ 1 (pow (- (log -1) (log (/ -1 x))) 2)) 1/3))) (pow (- (log -1) (log (/ -1 x))) 1/3)) (+ (* 1/6 (* (/ 1 (pow x 2)) (pow (/ 1 (pow (- (log -1) (log (/ -1 x))) 2)) 1/3))) (* 1/9 (* (/ 1 (pow x 2)) (pow (/ 1 (pow (- (log -1) (log (/ -1 x))) 5)) 1/3)))))
318.0ms	(- (pow (- (log -1) (log (/ 1 x))) 1/3) (+ (* 1/6 (* (/ 1 (pow x 2)) (pow (/ 1 (pow (- (log -1) (log (/ 1 x))) 2)) 1/3))) (+ (* 1/9 (* (/ 1 (pow x 2)) (pow (/ 1 (pow (- (log -1) (log (/ 1 x))) 5)) 1/3))) (* 1/3 (* (/ 1 x) (pow (/ 1 (pow (- (log -1) (log (/ 1 x))) 2)) 1/3))))))
303.0ms	(- (+ (* 1/6 (* (/ 1 (pow x 2)) (pow (/ -1 (pow (log (/ -1 x)) 2)) 1/3))) (+ (* 1/3 (* (/ 1 x) (pow (/ -1 (pow (log (/ -1 x)) 2)) 1/3))) (pow (- (log (/ -1 x))) 1/3))) (* 1/9 (* (/ 1 (pow x 2)) (pow (/ -1 (pow (log (/ -1 x)) 5)) 1/3))))
302.0ms	(- (+ (* 1/6 (* (/ 1 (pow x 2)) (pow (/ -1 (pow (log (/ -1 x)) 2)) 1/3))) (+ (* 1/3 (* (/ 1 x) (pow (/ -1 (pow (log (/ -1 x)) 2)) 1/3))) (pow (- (log (/ -1 x))) 1/3))) (* 1/9 (* (/ 1 (pow x 2)) (pow (/ -1 (pow (log (/ -1 x)) 5)) 1/3))))

prune897.0ms

Pruning

3 alts after pruning (1 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

bsearch1.0ms

end0.0ms

sample9.2s

Algorithm

intervals

Results

5.4s	3448×	body	1280	valid
2.5s	2498×	body	640	valid
545.0ms	1211×	body	320	valid
315.0ms	8000×	pre	80	true
219.0ms	623×	body	160	valid
26.0ms	220×	body	80	valid