Details

sample275.0ms

Algorithm

intervals

Results

186.0ms	124×	body	1280	valid
43.0ms	59×	body	640	valid
18.0ms	44×	body	320	valid
9.0ms	256×	pre	80	true
5.0ms	20×	body	160	valid
1.0ms	9×	body	80	valid

simplify23.0ms

Calls

1 calls:

Slowest

23.0ms

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

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 59.1b

localize10.0ms

Local error

Found 2 expressions with local error:

5.5b	(log (- 1 x))
0.0b	(/ (log (- 1 x)) (log1p x))

rewrite39.0ms

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--`

Calls

2 calls:

Slowest

23.0ms	(/ (log (- 1 x)) (log1p x))
4.0ms	(log (- 1 x))

series122.0ms

Calls

2 calls:

Slowest

80.0ms	(/ (log (- 1 x)) (log1p x))
42.0ms	(log (- 1 x))

simplify3.7s

Calls

50 calls:

Slowest

740.0ms	(- (+ (/ (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)))))))))))
427.0ms	(/ (* (* (log (- 1 x)) (log (- 1 x))) (log (- 1 x))) (* (* (log1p x) (log1p x)) (log1p x)))
409.0ms	(- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))
397.0ms	(- (log -1) (+ (log (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))
359.0ms	(- (+ (* 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)))))

prune304.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

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`

Calls

1 calls:

Slowest

4.0ms

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

series99.0ms

Calls

1 calls:

Slowest

99.0ms

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

simplify2.0s

Calls

28 calls:

Slowest

754.0ms	(- (+ (/ (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)))))))))))
436.0ms	(- (+ (* 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)))))
406.0ms	(/ (* (* (log1p (- x)) (log1p (- x))) (log1p (- x))) (* (* (log1p x) (log1p x)) (log1p x)))
159.0ms	(- (+ x (+ (* 1/2 (pow x 2)) 1)))
33.0ms	(/ (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))) (* (cbrt (log1p x)) (cbrt (log1p x))))

prune247.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize33.0ms

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`

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))))

series482.0ms

Calls

3 calls:

Slowest

203.0ms	(log1p (expm1 (/ (log1p (- x)) (log1p x))))
179.0ms	(expm1 (/ (log1p (- x)) (log1p x)))
100.0ms	(/ (log1p (- x)) (log1p x))

simplify4.5s

Calls

36 calls:

Slowest

868.0ms	(- (+ (/ (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)))))))))))
660.0ms	(- (+ (/ (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)))))))))))
471.0ms	(- (+ (* 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)))))))))))
411.0ms	(/ (* (* (log1p (- x)) (log1p (- x))) (log1p (- x))) (* (* (log1p x) (log1p x)) (log1p x)))
402.0ms	(- (+ (* 1/2 (/ (* (exp (* -1 (/ (- (log -1) (log (/ 1 x))) (log (/ 1 x))))) (pow (log -1) 2)) (* (pow (log (/ 1 x)) 4) (pow x 2)))) (+ (* 1/2 (/ (* (exp (* -1 (/ (- (log -1) (log (/ 1 x))) (log (/ 1 x))))) (log -1)) (* (pow (log (/ 1 x)) 2) (pow x 2)))) (+ (exp (* -1 (/ (- (log -1) (log (/ 1 x))) (log (/ 1 x))))) (+ (* 4 (/ (exp (* -1 (/ (- (log -1) (log (/ 1 x))) (log (/ 1 x))))) (* (pow (log (/ 1 x)) 2) (pow x 2)))) (* 2 (/ (exp (* -1 (/ (- (log -1) (log (/ 1 x))) (log (/ 1 x))))) (* (log (/ 1 x)) x))))))) (+ (* 3 (/ (* (exp (* -1 (/ (- (log -1) (log (/ 1 x))) (log (/ 1 x))))) (log -1)) (* (pow (log (/ 1 x)) 3) (pow x 2)))) (+ (/ (* (log -1) (exp (* -1 (/ (- (log -1) (log (/ 1 x))) (log (/ 1 x)))))) (* (pow (log (/ 1 x)) 2) x)) 1)))

prune532.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Calls

0 calls:

Slowest

series0.0ms

Calls

0 calls:

Slowest

simplify0.0ms

Calls

0 calls:

Slowest

prune0.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes21.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample9.5s

Algorithm

intervals

Results

6.1s	3506×	body	1280	valid
2.1s	2420×	body	640	valid
634.0ms	1260×	body	320	valid
342.0ms	8000×	pre	80	true
189.0ms	616×	body	160	valid
24.0ms	198×	body	80	valid