Details

sample84.0ms

Algorithm

intervals

Results

45.0ms	71×	body	1280	valid
18.0ms	55×	body	640	valid
5.0ms	25×	body	320	valid
4.0ms	90×	body	80	valid
3.0ms	89×	body	80	nan
2.0ms	15×	body	160	valid

simplify15.0ms

Calls

1 calls:

Slowest

15.0ms

(log (+ 1 x))

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.1b

localize11.0ms

Local error

Found 1 expressions with local error:

4.1b	(log (+ 1 x))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

3×	`log-prod`
2×	`add-sqr-sqrt` `pow1` `log-div` `*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
1×	`flip3-+` `add-cbrt-cube` `rem-log-exp` `log-pow` `flip-+` `insert-posit16` `add-log-exp`

Calls

1 calls:

Slowest

2.0ms

(log (+ 1 x))

series31.0ms

Calls

1 calls:

Slowest

31.0ms

(log (+ 1 x))

simplify876.0ms

Calls

9 calls:

Slowest

423.0ms	(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
235.0ms	(- (/ 1 x) (+ (log (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))
153.0ms	(- (+ x (* 1/3 (pow x 3))) (* 1/2 (pow x 2)))
16.0ms	(log (- (* 1 1) (* x x)))
16.0ms	(log (+ (pow 1 3) (pow x 3)))

prune174.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.3b	(* x 1/3)
0.0b	(* (* x x) (- 1/2 (* x 1/3)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*` `add-cube-cbrt`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `insert-posit16` `add-log-exp`
1×	`flip3--` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip--`

Calls

2 calls:

Slowest

5.0ms	(* (* x x) (- 1/2 (* x 1/3)))
0.0ms	(* x 1/3)

series44.0ms

Calls

2 calls:

Slowest

37.0ms	(* (* x x) (- 1/2 (* x 1/3)))
7.0ms	(* x 1/3)

simplify1.1s

Calls

18 calls:

Slowest

157.0ms	(* (* x x) (- 1/2 (* x 1/3)))
119.0ms	(- (* 1/2 (pow x 2)) (* 1/3 (pow x 3)))
112.0ms	(* (* x x) (- (* x 1/3)))
105.0ms	(* (* (* (* x x) (* x x)) (* x x)) (* (* (- 1/2 (* x 1/3)) (- 1/2 (* x 1/3))) (- 1/2 (* x 1/3))))
103.0ms	(* (* x x) (- (* x 1/3)))

prune266.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

4.1b	(log (- 1 x))
2.0b	(log (- 1 (* x x)))
0.0b	(- (log (- 1 (* x x))) (log (- 1 x)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod`
11×	`*-un-lft-identity`
9×	`add-sqr-sqrt` `pow1`
8×	`log-div`
7×	`add-cube-cbrt`
6×	`log-pow`
5×	`flip3--` `add-exp-log` `flip--`
4×	`distribute-lft-out--`
3×	`add-cbrt-cube` `associate--l+` `insert-posit16` `associate--r+` `add-log-exp`
2×	`associate--l-` `rem-log-exp` `associate--r-`
1×	`sub-neg` `diff-log` `difference-of-squares`

Calls

3 calls:

Slowest

8.0ms	(- (log (- 1 (* x x))) (log (- 1 x)))
1.0ms	(log (- 1 x))
1.0ms	(log (- 1 (* x x)))

series194.0ms

Calls

3 calls:

Slowest

100.0ms	(log (- 1 (* x x)))
60.0ms	(- (log (- 1 (* x x))) (log (- 1 x)))
34.0ms	(log (- 1 x))

simplify3.2s

Calls

38 calls:

Slowest

384.0ms	(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
353.0ms	(- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))
325.0ms	(- (log -1) (+ (* 2 (log (/ 1 x))) (+ (* 1/2 (/ 1 (pow x 4))) (/ 1 (pow x 2)))))
287.0ms	(- (log -1) (+ (* 2 (log (/ -1 x))) (+ (* 1/2 (/ 1 (pow x 4))) (/ 1 (pow x 2)))))
238.0ms	(- (log -1) (+ (log (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))

prune319.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

11.8b	(log (+ 1 (* x x)))
4.1b	(log (- 1 x))
1.3b	(log (- 1 (* (* x x) (* x x))))
0.1b	(* (* x x) (* x x))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1`
9×	`log-prod` `add-exp-log`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`log-div` `add-cbrt-cube`
5×	`pow2`
4×	`insert-posit16` `add-log-exp`
3×	`rem-log-exp` `log-pow`
2×	`flip3--` `pow-prod-down` `pow-prod-up` `flip--`
1×	`flip3-+` `pow-plus` `associate-r` `associate-l` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+`

Calls

4 calls:

Slowest

4.0ms	(log (- 1 (* (* x x) (* x x))))
4.0ms	(* (* x x) (* x x))
1.0ms	(log (+ 1 (* x x)))
1.0ms	(log (- 1 x))

series941.0ms

Calls

4 calls:

Slowest

786.0ms	(log (- 1 (* (* x x) (* x x))))
96.0ms	(log (+ 1 (* x x)))
36.0ms	(log (- 1 x))
23.0ms	(* (* x x) (* x x))

simplify3.4s

Calls

38 calls:

Slowest

401.0ms	(- (log -1) (+ (* 4 (log (/ 1 x))) (+ (/ 1 (pow x 4)) (* 1/2 (/ 1 (pow x 8))))))
384.0ms	(log (- (pow 1 3) (pow (* (* x x) (* x x)) 3)))
365.0ms	(- (log -1) (+ (/ 1 (pow x 4)) (+ (* 4 (log (/ -1 x))) (* 1/2 (/ 1 (pow x 8))))))
314.0ms	(- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))
311.0ms	(- (+ x (+ (* 1/3 (pow x 3)) (* 1/2 (pow x 2)))))

prune551.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes109.0ms

Accuracy

99.4% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 20.9b

bsearch38.0ms

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.7s	2228×	body	1280	valid
682.0ms	1692×	body	640	valid
469.0ms	2659×	body	80	nan
211.0ms	2841×	body	80	valid
200.0ms	821×	body	320	valid
53.0ms	418×	body	160	valid