Details

sample298.0ms

Algorithm

intervals

Results

170.0ms	98×	body	1280	valid
77.0ms	88×	body	640	valid
20.0ms	44×	body	320	valid
11.0ms	256×	pre	80	true
6.0ms	19×	body	160	valid
1.0ms	7×	body	80	valid

simplify11.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

11.0ms

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

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 59.3b

localize45.0ms

Local error

Found 2 expressions with local error:

4.7b	(log (- 1 x))
0.0b	(/ (log (- 1 x)) (log1p x))

rewrite34.0ms

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))
8.0ms	(log (- 1 x))

series105.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

83.0ms	(/ (log (- 1 x)) (log1p x))
23.0ms	(log (- 1 x))

simplify3.6s

Counts

50 → 64

Calls

50 calls:

Slowest

738.0ms	(- (+ (/ (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)) (log (- 1 x))) (log (- 1 x))) (* (* (log1p x) (log1p x)) (log1p x)))
363.0ms	(- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))
339.0ms	(- (+ (* 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)))))
336.0ms	(/ (log (- (pow 1 3) (pow x 3))) (log1p x))

prune336.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

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))

series81.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

81.0ms

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

simplify2.1s

Counts

28 → 33

Calls

28 calls:

Slowest

843.0ms	(- (+ (/ (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)))))))))))
509.0ms	(/ (* (* (log1p (- x)) (log1p (- x))) (log1p (- x))) (* (* (log1p x) (log1p x)) (log1p x)))
396.0ms	(- (+ (* 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)))))
143.0ms	(- (+ x (+ (* 1/2 (pow x 2)) 1)))
44.0ms	(/ (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))) (* (cbrt (log1p x)) (cbrt (log1p x))))

prune306.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b	(log1p (expm1 (/ (log1p (- x)) (log1p x))))
0.0b	(/ (log1p (- x)) (log1p x))
0.0b	(expm1 (/ (log1p (- x)) (log1p x)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 54

Calls

3 calls:

Slowest

9.0ms	(/ (log1p (- x)) (log1p x))
1.0ms	(expm1 (/ (log1p (- x)) (log1p x)))
1.0ms	(log1p (expm1 (/ (log1p (- x)) (log1p x))))

series451.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

180.0ms	(expm1 (/ (log1p (- x)) (log1p x)))
169.0ms	(log1p (expm1 (/ (log1p (- x)) (log1p x))))
102.0ms	(/ (log1p (- x)) (log1p x))

simplify4.2s

Counts

36 → 63

Calls

36 calls:

Slowest

798.0ms	(- (+ (/ (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)))))))))))
709.0ms	(- (+ (/ (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)))))))))))
429.0ms	(- (+ (* 1/2 (/ (* (pow (log (/ -1 x)) 2) (exp (* -1 (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x))))))) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 4)))) (+ (exp (* -1 (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x)))))) (+ (/ (* (log (/ -1 x)) (exp (* -1 (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x))))))) (* x (pow (- (log -1) (log (/ -1 x))) 2))) (* 3/2 (/ (exp (* -1 (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x)))))) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2))))))) (+ 1 (+ (/ (exp (* -1 (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x)))))) (* x (- (log -1) (log (/ -1 x))))) (+ (* 2 (/ (* (log (/ -1 x)) (exp (* -1 (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x))))))) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 3)))) (+ (* 1/2 (/ (* (log (/ -1 x)) (exp (* -1 (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x))))))) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2)))) (* 1/2 (/ (exp (* -1 (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x)))))) (* (pow x 2) (- (log -1) (log (/ -1 x)))))))))))
385.0ms	(- (+ (* 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)))))
364.0ms	(/ (* (* (log1p (- x)) (log1p (- x))) (log1p (- x))) (* (* (log1p x) (log1p x)) (log1p x)))

prune561.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

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

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes35.0ms

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

5.3s	3347×	body	1280	valid
2.2s	2479×	body	640	valid
969.0ms	1276×	body	320	valid
336.0ms	8000×	pre	80	true
206.0ms	673×	body	160	valid
26.0ms	225×	body	80	valid