Details

sample268.0ms

Algorithm

intervals

Results

157.0ms	110×	body	1280	valid
62.0ms	79×	body	640	valid
19.0ms	42×	body	320	valid
10.0ms	256×	pre	80	true
4.0ms	17×	body	160	valid
1.0ms	8×	body	80	valid

simplify23.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

23.0ms

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

prune44.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 59.2b

localize11.0ms

Local error

Found 2 expressions with local error:

5.4b	(log (- 1 x))
0.0b	(/ (log (- 1 x)) (log1p x))

rewrite17.0ms

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

12.0ms	(/ (log (- 1 x)) (log1p x))
4.0ms	(log (- 1 x))

series126.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

94.0ms	(/ (log (- 1 x)) (log1p x))
32.0ms	(log (- 1 x))

simplify4.0s

Counts

50 → 64

Calls

50 calls:

Slowest

826.0ms	(- (+ (/ (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)))))))))))
474.0ms	(/ (* (* (log (- 1 x)) (log (- 1 x))) (log (- 1 x))) (* (* (log1p x) (log1p x)) (log1p x)))
436.0ms	(- (+ (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)))))
342.0ms	(- (log -1) (+ (log (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))

prune366.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

Slowest

8.0ms	(/ (log1p (- x)) (log1p x))
1.0ms	(log1p (- x))

series102.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

78.0ms	(/ (log1p (- x)) (log1p x))
23.0ms	(log1p (- x))

simplify2.9s

Counts

32 → 48

Calls

32 calls:

Slowest

807.0ms	(- (+ (/ (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)))))))))))
421.0ms	(- (+ (* 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)))))
415.0ms	(/ (* (* (log1p (- x)) (log1p (- x))) (log1p (- x))) (* (* (log1p x) (log1p x)) (log1p x)))
379.0ms	(- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))
283.0ms	(- (log -1) (+ (log (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))

prune313.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`*-un-lft-identity` `add-cube-cbrt`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 156

Calls

4 calls:

Slowest

12.0ms	(* (cbrt (/ (log1p (- x)) (log1p x))) (cbrt (/ (log1p (- x)) (log1p x))))
2.0ms	(cbrt (/ (log1p (- x)) (log1p x)))
1.0ms	(cbrt (/ (log1p (- x)) (log1p x)))
1.0ms	(cbrt (/ (log1p (- x)) (log1p x)))

series1.3s

Counts

4 → 12

Calls

4 calls:

Slowest

544.0ms	(* (cbrt (/ (log1p (- x)) (log1p x))) (cbrt (/ (log1p (- x)) (log1p x))))
255.0ms	(cbrt (/ (log1p (- x)) (log1p x)))
249.0ms	(cbrt (/ (log1p (- x)) (log1p x)))
216.0ms	(cbrt (/ (log1p (- x)) (log1p x)))

simplify10.3s

Counts

152 → 168

Calls

152 calls:

Slowest

2.8s	(- (+ (* 4/9 (* (/ (pow (log -1) 3) (pow x 2)) (pow (/ 1 (* (log (/ -1 x)) (pow (- (log -1) (log (/ -1 x))) 14))) 1/3))) (+ (* 8/3 (* (/ (pow (log -1) 5) (pow x 2)) (pow (/ (pow (log (/ -1 x)) 5) (pow (- (log -1) (log (/ -1 x))) 26)) 1/3))) (+ (* 2/3 (* (/ 1 x) (pow (/ (pow (log (/ -1 x)) 5) (pow (- (log -1) (log (/ -1 x))) 8)) 1/3))) (+ (* 5/9 (* (/ 1 (pow x 2)) (pow (/ (pow (log (/ -1 x)) 8) (pow (- (log -1) (log (/ -1 x))) 14)) 1/3))) (+ (pow (/ (pow (log (/ -1 x)) 2) (pow (- (log -1) (log (/ -1 x))) 2)) 1/3) (+ (* 1/3 (* (/ 1 (pow x 2)) (pow (/ (pow (log (/ -1 x)) 5) (pow (- (log -1) (log (/ -1 x))) 8)) 1/3))) (+ (* 2/3 (* (/ 1 x) (pow (/ (pow (log (/ -1 x)) 11) (pow (- (log -1) (log (/ -1 x))) 14)) 1/3))) (+ (* 2 (* (/ (pow (log -1) 2) x) (pow (/ (pow (log (/ -1 x)) 5) (pow (- (log -1) (log (/ -1 x))) 14)) 1/3))) (+ (* 80/9 (* (/ (pow (log -1) 3) (pow x 2)) (pow (/ (pow (log (/ -1 x)) 11) (pow (- (log -1) (log (/ -1 x))) 26)) 1/3))) (+ (* (/ (log -1) (pow x 2)) (pow (/ (pow (log (/ -1 x)) 8) (pow (- (log -1) (log (/ -1 x))) 14)) 1/3)) (+ (* 1/3 (* (/ (pow (log -1) 2) (pow x 2)) (pow (/ 1 (* (log (/ -1 x)) (pow (- (log -1) (log (/ -1 x))) 8))) 1/3))) (+ (* 8/3 (* (/ (log -1) (pow x 2)) (pow (/ (pow (log (/ -1 x)) 17) (pow (- (log -1) (log (/ -1 x))) 26)) 1/3))) (+ (* 2/3 (* (/ (pow (log -1) 2) x) (pow (/ 1 (* (log (/ -1 x)) (pow (- (log -1) (log (/ -1 x))) 8))) 1/3))) (+ (* 1/3 (* (/ (pow (log -1) 3) (pow x 2)) (pow (/ (pow (log (/ -1 x)) 2) (pow (- (log -1) (log (/ -1 x))) 14)) 1/3))) (+ (* 4/9 (* (/ 1 (pow x 2)) (pow (/ (pow (log (/ -1 x)) 14) (pow (- (log -1) (log (/ -1 x))) 20)) 1/3))) (+ (* (/ (pow (log -1) 2) (pow x 2)) (pow (/ (pow (log (/ -1 x)) 2) (pow (- (log -1) (log (/ -1 x))) 14)) 1/3)) (+ (* 1/3 (* (/ (pow (log -1) 2) (pow x 2)) (pow (/ 1 (* (pow (log (/ -1 x)) 4) (pow (- (log -1) (log (/ -1 x))) 8))) 1/3))) (+ (* 1/3 (* (/ 1 (pow x 2)) (pow (/ (pow (log (/ -1 x)) 2) (pow (- (log -1) (log (/ -1 x))) 8)) 1/3))) (+ (* 8/9 (* (/ (pow (log -1) 5) (pow x 2)) (pow (/ 1 (* (log (/ -1 x)) (pow (- (log -1) (log (/ -1 x))) 20))) 1/3))) (* 32/9 (* (/ (pow (log -1) 3) (pow x 2)) (pow (/ (pow (log (/ -1 x)) 5) (pow (- (log -1) (log (/ -1 x))) 20)) 1/3)))))))))))))))))))))) (+ (* 4/9 (* (/ (pow (log -1) 6) (pow x 2)) (pow (/ (pow (log (/ -1 x)) 2) (pow (- (log -1) (log (/ -1 x))) 26)) 1/3))) (+ (* (/ (pow (log -1) 2) (pow x 2)) (pow (/ (pow (log (/ -1 x)) 5) (pow (- (log -1) (log (/ -1 x))) 14)) 1/3)) (+ (* 20/3 (* (/ (pow (log -1) 4) (pow x 2)) (pow (/ (pow (log (/ -1 x)) 8) (pow (- (log -1) (log (/ -1 x))) 26)) 1/3))) (+ (* 28/9 (* (/ (pow (log -1) 4) (pow x 2)) (pow (/ (pow (log (/ -1 x)) 2) (pow (- (log -1) (log (/ -1 x))) 20)) 1/3))) (+ (* 4/9 (* (/ (pow (log -1) 4) (pow x 2)) (pow (/ 1 (* (pow (log (/ -1 x)) 4) (pow (- (log -1) (log (/ -1 x))) 14))) 1/3))) (+ (* 20/3 (* (/ (pow (log -1) 2) (pow x 2)) (pow (/ (pow (log (/ -1 x)) 14) (pow (- (log -1) (log (/ -1 x))) 26)) 1/3))) (+ (* 4/9 (* (/ 1 (pow x 2)) (pow (/ (pow (log (/ -1 x)) 20) (pow (- (log -1) (log (/ -1 x))) 26)) 1/3))) (+ (* 1/3 (* (/ 1 (pow x 2)) (pow (/ (pow (log (/ -1 x)) 11) (pow (- (log -1) (log (/ -1 x))) 14)) 1/3))) (+ (* 2/3 (* (/ (pow (log -1) 3) x) (pow (/ (pow (log (/ -1 x)) 2) (pow (- (log -1) (log (/ -1 x))) 14)) 1/3))) (+ (* 4/3 (* (/ (log -1) x) (pow (/ (pow (log (/ -1 x)) 2) (pow (- (log -1) (log (/ -1 x))) 8)) 1/3))) (+ (* 8/9 (* (/ (log -1) (pow x 2)) (pow (/ (pow (log (/ -1 x)) 11) (pow (- (log -1) (log (/ -1 x))) 20)) 1/3))) (+ (* 14/9 (* (/ (log -1) (pow x 2)) (pow (/ (pow (log (/ -1 x)) 5) (pow (- (log -1) (log (/ -1 x))) 14)) 1/3))) (+ (* 2/3 (* (/ (log -1) (pow x 2)) (pow (/ 1 (* (log (/ -1 x)) (pow (- (log -1) (log (/ -1 x))) 8))) 1/3))) (+ (* 8/9 (* (/ (pow (log -1) 2) (pow x 2)) (pow (/ (pow (log (/ -1 x)) 8) (pow (- (log -1) (log (/ -1 x))) 20)) 1/3))) (+ (* 2/3 (* (/ (log -1) (pow x 2)) (pow (/ (pow (log (/ -1 x)) 2) (pow (- (log -1) (log (/ -1 x))) 8)) 1/3))) (* 2 (* (/ (log -1) x) (pow (/ (pow (log (/ -1 x)) 8) (pow (- (log -1) (log (/ -1 x))) 14)) 1/3)))))))))))))))))))
742.0ms	(- (+ (* 1/3 (* (/ 1 x) (pow (/ (* (pow (log (/ -1 x)) 4) -1) (pow (- (log -1) (log (/ -1 x))) 7)) 1/3))) (+ (pow (* -1 (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x))))) 1/3) (+ (* 1/6 (* (/ (log -1) (pow x 2)) (pow (/ -1 (* (pow (log (/ -1 x)) 2) (pow (- (log -1) (log (/ -1 x))) 4))) 1/3))) (+ (* 2/9 (* (/ (pow (log -1) 2) (pow x 2)) (pow (/ -1 (* (pow (log (/ -1 x)) 2) (pow (- (log -1) (log (/ -1 x))) 10))) 1/3))) (+ (* 2/9 (* (/ (log -1) (pow x 2)) (pow (/ (* (pow (log (/ -1 x)) 4) -1) (pow (- (log -1) (log (/ -1 x))) 13)) 1/3))) (+ (* 1/3 (* (/ (log -1) x) (pow (/ -1 (* (pow (log (/ -1 x)) 2) (pow (- (log -1) (log (/ -1 x))) 4))) 1/3))) (+ (* 2/9 (* (/ 1 (pow x 2)) (pow (/ (* (log (/ -1 x)) -1) (pow (- (log -1) (log (/ -1 x))) 7)) 1/3))) (* 1/6 (* (/ (log -1) (pow x 2)) (pow (/ (* (log (/ -1 x)) -1) (pow (- (log -1) (log (/ -1 x))) 7)) 1/3)))))))))) (+ (* 1/9 (* (/ (pow (log -1) 2) (pow x 2)) (pow (/ (* (log (/ -1 x)) -1) (pow (- (log -1) (log (/ -1 x))) 13)) 1/3))) (+ (* 1/9 (* (/ (pow (log -1) 2) (pow x 2)) (pow (/ -1 (* (pow (log (/ -1 x)) 5) (pow (- (log -1) (log (/ -1 x))) 7))) 1/3))) (+ (* 1/3 (* (/ (log -1) x) (pow (/ (* (log (/ -1 x)) -1) (pow (- (log -1) (log (/ -1 x))) 7)) 1/3))) (+ (* 1/6 (* (/ 1 (pow x 2)) (pow (/ (* (pow (log (/ -1 x)) 4) -1) (pow (- (log -1) (log (/ -1 x))) 7)) 1/3))) (+ (* 1/9 (* (/ 1 (pow x 2)) (pow (/ (* (pow (log (/ -1 x)) 4) -1) (pow (- (log -1) (log (/ -1 x))) 10)) 1/3))) (+ (* 1/3 (* (/ 1 x) (pow (/ (* (log (/ -1 x)) -1) (pow (- (log -1) (log (/ -1 x))) 4)) 1/3))) (+ (* 1/9 (* (/ 1 (pow x 2)) (pow (/ (* (pow (log (/ -1 x)) 7) -1) (pow (- (log -1) (log (/ -1 x))) 13)) 1/3))) (+ (* 1/9 (* (/ (log -1) (pow x 2)) (pow (/ -1 (* (pow (log (/ -1 x)) 2) (pow (- (log -1) (log (/ -1 x))) 7))) 1/3))) (+ (* 1/6 (* (/ 1 (pow x 2)) (pow (/ (* (log (/ -1 x)) -1) (pow (- (log -1) (log (/ -1 x))) 4)) 1/3))) (* 1/9 (* (/ (log -1) (pow x 2)) (pow (/ (* (log (/ -1 x)) -1) (pow (- (log -1) (log (/ -1 x))) 10)) 1/3)))))))))))))
735.0ms	(- (+ (* 1/3 (* (/ 1 x) (pow (/ (* (pow (log (/ -1 x)) 4) -1) (pow (- (log -1) (log (/ -1 x))) 7)) 1/3))) (+ (pow (* -1 (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x))))) 1/3) (+ (* 1/6 (* (/ (log -1) (pow x 2)) (pow (/ -1 (* (pow (log (/ -1 x)) 2) (pow (- (log -1) (log (/ -1 x))) 4))) 1/3))) (+ (* 2/9 (* (/ (pow (log -1) 2) (pow x 2)) (pow (/ -1 (* (pow (log (/ -1 x)) 2) (pow (- (log -1) (log (/ -1 x))) 10))) 1/3))) (+ (* 2/9 (* (/ (log -1) (pow x 2)) (pow (/ (* (pow (log (/ -1 x)) 4) -1) (pow (- (log -1) (log (/ -1 x))) 13)) 1/3))) (+ (* 1/3 (* (/ (log -1) x) (pow (/ -1 (* (pow (log (/ -1 x)) 2) (pow (- (log -1) (log (/ -1 x))) 4))) 1/3))) (+ (* 2/9 (* (/ 1 (pow x 2)) (pow (/ (* (log (/ -1 x)) -1) (pow (- (log -1) (log (/ -1 x))) 7)) 1/3))) (* 1/6 (* (/ (log -1) (pow x 2)) (pow (/ (* (log (/ -1 x)) -1) (pow (- (log -1) (log (/ -1 x))) 7)) 1/3)))))))))) (+ (* 1/9 (* (/ (pow (log -1) 2) (pow x 2)) (pow (/ (* (log (/ -1 x)) -1) (pow (- (log -1) (log (/ -1 x))) 13)) 1/3))) (+ (* 1/9 (* (/ (pow (log -1) 2) (pow x 2)) (pow (/ -1 (* (pow (log (/ -1 x)) 5) (pow (- (log -1) (log (/ -1 x))) 7))) 1/3))) (+ (* 1/3 (* (/ (log -1) x) (pow (/ (* (log (/ -1 x)) -1) (pow (- (log -1) (log (/ -1 x))) 7)) 1/3))) (+ (* 1/6 (* (/ 1 (pow x 2)) (pow (/ (* (pow (log (/ -1 x)) 4) -1) (pow (- (log -1) (log (/ -1 x))) 7)) 1/3))) (+ (* 1/9 (* (/ 1 (pow x 2)) (pow (/ (* (pow (log (/ -1 x)) 4) -1) (pow (- (log -1) (log (/ -1 x))) 10)) 1/3))) (+ (* 1/3 (* (/ 1 x) (pow (/ (* (log (/ -1 x)) -1) (pow (- (log -1) (log (/ -1 x))) 4)) 1/3))) (+ (* 1/9 (* (/ 1 (pow x 2)) (pow (/ (* (pow (log (/ -1 x)) 7) -1) (pow (- (log -1) (log (/ -1 x))) 13)) 1/3))) (+ (* 1/9 (* (/ (log -1) (pow x 2)) (pow (/ -1 (* (pow (log (/ -1 x)) 2) (pow (- (log -1) (log (/ -1 x))) 7))) 1/3))) (+ (* 1/6 (* (/ 1 (pow x 2)) (pow (/ (* (log (/ -1 x)) -1) (pow (- (log -1) (log (/ -1 x))) 4)) 1/3))) (* 1/9 (* (/ (log -1) (pow x 2)) (pow (/ (* (log (/ -1 x)) -1) (pow (- (log -1) (log (/ -1 x))) 10)) 1/3)))))))))))))
659.0ms	(- (+ (* 4/9 (* (pow (/ -1 (* (pow (log (/ 1 x)) 4) (pow (- (log -1) (log (/ 1 x))) 5))) 1/3) (/ (log -1) (pow x 2)))) (+ (* 1/3 (* (pow (/ -1 (* (pow (log (/ 1 x)) 7) (pow (- (log -1) (log (/ 1 x))) 2))) 1/3) (/ (log -1) (pow x 2)))) (+ (pow (* -1 (/ (- (log -1) (log (/ 1 x))) (log (/ 1 x)))) 1/3) (* 1/3 (* (pow (/ -1 (* (pow (log (/ 1 x)) 4) (pow (- (log -1) (log (/ 1 x))) 2))) 1/3) (/ (log -1) x)))))) (+ (* 2/3 (* (pow (/ -1 (* (log (/ 1 x)) (pow (- (log -1) (log (/ 1 x))) 2))) 1/3) (/ 1 x))) (+ (* 1/9 (* (pow (/ -1 (* (pow (log (/ 1 x)) 7) (pow (- (log -1) (log (/ 1 x))) 5))) 1/3) (/ (pow (log -1) 2) (pow x 2)))) (+ (* 2/3 (* (pow (/ -1 (* (pow (log (/ 1 x)) 4) (pow (- (log -1) (log (/ 1 x))) 2))) 1/3) (/ 1 (pow x 2)))) (+ (* 1/6 (* (pow (/ -1 (* (pow (log (/ 1 x)) 4) (pow (- (log -1) (log (/ 1 x))) 2))) 1/3) (/ (log -1) (pow x 2)))) (* 4/9 (* (pow (/ -1 (* (log (/ 1 x)) (pow (- (log -1) (log (/ 1 x))) 5))) 1/3) (/ 1 (pow x 2)))))))))
630.0ms	(- (+ (* 1/3 (* (/ 1 x) (pow (/ (* (pow (log (/ -1 x)) 4) -1) (pow (- (log -1) (log (/ -1 x))) 7)) 1/3))) (+ (pow (* -1 (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x))))) 1/3) (+ (* 1/6 (* (/ (log -1) (pow x 2)) (pow (/ -1 (* (pow (log (/ -1 x)) 2) (pow (- (log -1) (log (/ -1 x))) 4))) 1/3))) (+ (* 2/9 (* (/ (pow (log -1) 2) (pow x 2)) (pow (/ -1 (* (pow (log (/ -1 x)) 2) (pow (- (log -1) (log (/ -1 x))) 10))) 1/3))) (+ (* 2/9 (* (/ (log -1) (pow x 2)) (pow (/ (* (pow (log (/ -1 x)) 4) -1) (pow (- (log -1) (log (/ -1 x))) 13)) 1/3))) (+ (* 1/3 (* (/ (log -1) x) (pow (/ -1 (* (pow (log (/ -1 x)) 2) (pow (- (log -1) (log (/ -1 x))) 4))) 1/3))) (+ (* 2/9 (* (/ 1 (pow x 2)) (pow (/ (* (log (/ -1 x)) -1) (pow (- (log -1) (log (/ -1 x))) 7)) 1/3))) (* 1/6 (* (/ (log -1) (pow x 2)) (pow (/ (* (log (/ -1 x)) -1) (pow (- (log -1) (log (/ -1 x))) 7)) 1/3)))))))))) (+ (* 1/9 (* (/ (pow (log -1) 2) (pow x 2)) (pow (/ (* (log (/ -1 x)) -1) (pow (- (log -1) (log (/ -1 x))) 13)) 1/3))) (+ (* 1/9 (* (/ (pow (log -1) 2) (pow x 2)) (pow (/ -1 (* (pow (log (/ -1 x)) 5) (pow (- (log -1) (log (/ -1 x))) 7))) 1/3))) (+ (* 1/3 (* (/ (log -1) x) (pow (/ (* (log (/ -1 x)) -1) (pow (- (log -1) (log (/ -1 x))) 7)) 1/3))) (+ (* 1/6 (* (/ 1 (pow x 2)) (pow (/ (* (pow (log (/ -1 x)) 4) -1) (pow (- (log -1) (log (/ -1 x))) 7)) 1/3))) (+ (* 1/9 (* (/ 1 (pow x 2)) (pow (/ (* (pow (log (/ -1 x)) 4) -1) (pow (- (log -1) (log (/ -1 x))) 10)) 1/3))) (+ (* 1/3 (* (/ 1 x) (pow (/ (* (log (/ -1 x)) -1) (pow (- (log -1) (log (/ -1 x))) 4)) 1/3))) (+ (* 1/9 (* (/ 1 (pow x 2)) (pow (/ (* (pow (log (/ -1 x)) 7) -1) (pow (- (log -1) (log (/ -1 x))) 13)) 1/3))) (+ (* 1/9 (* (/ (log -1) (pow x 2)) (pow (/ -1 (* (pow (log (/ -1 x)) 2) (pow (- (log -1) (log (/ -1 x))) 7))) 1/3))) (+ (* 1/6 (* (/ 1 (pow x 2)) (pow (/ (* (log (/ -1 x)) -1) (pow (- (log -1) (log (/ -1 x))) 4)) 1/3))) (* 1/9 (* (/ (log -1) (pow x 2)) (pow (/ (* (log (/ -1 x)) -1) (pow (- (log -1) (log (/ -1 x))) 10)) 1/3)))))))))))))

prune2.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

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`

Counts

1 → 11

Calls

1 calls:

Slowest

0.0ms

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

series32.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

32.0ms

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

simplify432.0ms

Counts

3 → 14

Calls

3 calls:

Slowest

168.0ms	(- (+ x (+ (* 1/2 (pow x 2)) 1)))
137.0ms	(- (+ x (+ (* 1/2 (pow x 2)) 1)))
126.0ms	(- (+ x (+ (* 1/2 (pow x 2)) 1)))

prune115.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes81.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample9.3s

Algorithm

intervals

Results

6.0s	3428×	body	1280	valid
2.1s	2503×	body	640	valid
577.0ms	1210×	body	320	valid
294.0ms	8000×	pre	80	true
165.0ms	635×	body	160	valid
58.0ms	224×	body	80	valid