Details

sample285.0ms

Algorithm

intervals

Results

162.0ms	102×	body	1280	valid
66.0ms	78×	body	640	valid
20.0ms	45×	body	320	valid
17.0ms	256×	pre	80	true
7.0ms	25×	body	160	valid
1.0ms	6×	body	80	valid

simplify12.0ms

Calls

1 calls:

Slowest

12.0ms

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

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 59.4b

localize20.0ms

Local error

Found 2 expressions with local error:

7.2b	(log (- 1 x))
0.0b	(/ (log (- 1 x)) (log1p x))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

2 calls:

Slowest

12.0ms	(/ (log (- 1 x)) (log1p x))
2.0ms	(log (- 1 x))

series137.0ms

Calls

2 calls:

Slowest

80.0ms	(/ (log (- 1 x)) (log1p x))
57.0ms	(log (- 1 x))

simplify3.8s

Calls

47 calls:

Slowest

1.3s	(- (+ (/ (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	(- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))
390.0ms	(- (log -1) (+ (log (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))
357.0ms	(- (+ (* 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)))))
341.0ms	(- (+ x (+ (* 1/3 (pow x 3)) (* 1/2 (pow x 2)))))

prune281.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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

5.0ms

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

series83.0ms

Calls

1 calls:

Slowest

83.0ms

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

simplify1.8s

Calls

28 calls:

Slowest

941.0ms	(- (+ (/ (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)))))))))))
298.0ms	(- (+ (* 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)))))
165.0ms	(/ (* (* (log1p (- x)) (log1p (- x))) (log1p (- x))) (* (* (log1p x) (log1p x)) (log1p x)))
158.0ms	(- (+ x (+ (* 1/2 (pow x 2)) 1)))
36.0ms	(/ (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))) (* (cbrt (log1p x)) (cbrt (log1p x))))

prune331.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
34×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
20×	`add-cbrt-cube` `add-exp-log`
13×	`associate-r` `associate-l`
9×	`pow1`
7×	`cbrt-div`
6×	`frac-times` `cbrt-undiv` `associate-/r` `div-exp` `associate-l/` `associate-/l*`
4×	`expm1-log1p-u` `prod-exp` `associate-*r/` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`clear-num` `frac-2neg`
1×	`cbrt-prod` `pow2` `pow-plus` `pow1/3` `pow3` `pow-prod-down` `*-commutative` `pow-prod-up` `rem-cbrt-cube`

Calls

4 calls:

Slowest

17.0ms	(cbrt (* (* (/ (log1p (- x)) (log1p x)) (/ (log1p (- x)) (log1p x))) (/ (log1p (- x)) (log1p x))))
16.0ms	(* (/ (log1p (- x)) (log1p x)) (/ (log1p (- x)) (log1p x)))
9.0ms	(/ (log1p (- x)) (log1p x))
9.0ms	(/ (log1p (- x)) (log1p x))

series376.0ms

Calls

4 calls:

Slowest

106.0ms	(* (/ (log1p (- x)) (log1p x)) (/ (log1p (- x)) (log1p x)))
94.0ms	(/ (log1p (- x)) (log1p x))
92.0ms	(/ (log1p (- x)) (log1p x))
84.0ms	(cbrt (* (* (/ (log1p (- x)) (log1p x)) (/ (log1p (- x)) (log1p x))) (/ (log1p (- x)) (log1p x))))

simplify7.9s

Calls

112 calls:

Slowest

927.0ms	(- (+ (/ (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)))))))))))
821.0ms	(- (+ (/ (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)))))))))))
804.0ms	(- (+ (/ (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)))))))))))
592.0ms	(- (+ (* 2 (/ (log (/ -1 x)) (* x (pow (- (log -1) (log (/ -1 x))) 2)))) (+ (* 4 (/ (* (pow (log (/ -1 x)) 2) (pow (log -1) 2)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 6)))) (+ (/ (pow (log (/ -1 x)) 2) (pow (- (log -1) (log (/ -1 x))) 2)) (+ (* 3 (/ (pow (log (/ -1 x)) 2) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 4)))) (+ (/ (* (pow (log (/ -1 x)) 2) (log -1)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 4))) (+ (* 4 (/ (pow (log (/ -1 x)) 4) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 6)))) (+ (/ 1 (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2))) (+ (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2))) (* 2 (/ (pow (log (/ -1 x)) 3) (* x (pow (- (log -1) (log (/ -1 x))) 4)))))))))))) (+ (* 4 (/ (* (log (/ -1 x)) (log -1)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 4)))) (+ (* 8 (/ (* (pow (log (/ -1 x)) 3) (log -1)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 6)))) (+ (* 2 (/ (* (pow (log (/ -1 x)) 2) (log -1)) (* x (pow (- (log -1) (log (/ -1 x))) 4)))) (/ (pow (log (/ -1 x)) 3) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 4)))))))
431.0ms	(- (+ (* 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)))))

prune1.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma -1/2 (* x x) (- -1 x))

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Calls

1 calls:

Slowest

0.0ms

(fma -1/2 (* x x) (- -1 x))

series9.0ms

Calls

1 calls:

Slowest

9.0ms

(fma -1/2 (* x x) (- -1 x))

simplify420.0ms

Calls

3 calls:

Slowest

156.0ms	(- (+ x (+ (* 1/2 (pow x 2)) 1)))
149.0ms	(- (+ x (+ (* 1/2 (pow x 2)) 1)))
114.0ms	(- (+ x (+ (* 1/2 (pow x 2)) 1)))

prune73.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes24.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample8.9s

Algorithm

intervals

Results

5.6s	3423×	body	1280	valid
2.1s	2458×	body	640	valid
572.0ms	1274×	body	320	valid
310.0ms	8000×	pre	80	true
188.0ms	646×	body	160	valid
23.0ms	199×	body	80	valid