Details

sample117.0ms

Algorithm

intervals

Results

70.0ms	81×	body	1280	valid
21.0ms	54×	body	640	valid
6.0ms	25×	body	320	valid
4.0ms	84×	body	80	valid
4.0ms	89×	body	80	nan
2.0ms	12×	body	160	valid

simplify13.0ms

Calls

1 calls:

Slowest

13.0ms

(log (+ 1 x))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.6b

localize6.0ms

Local error

Found 1 expressions with local error:

3.3b	(log (+ 1 x))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

1 calls:

Slowest

3.0ms

(log (+ 1 x))

series23.0ms

Calls

1 calls:

Slowest

23.0ms

(log (+ 1 x))

simplify988.0ms

Calls

10 calls:

Slowest

369.0ms	(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
256.0ms	(- (+ x (* 1/3 (pow x 3))) (* 1/2 (pow x 2)))
225.0ms	(- (/ 1 x) (+ (log (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))
62.0ms	(log (+ (pow 1 3) (pow x 3)))
29.0ms	(log (- (* 1 1) (* x x)))

prune143.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x 1/3)
0.1b	(* x (+ -1/2 (* x 1/3)))
0.0b	(* x (* x (+ -1/2 (* x 1/3))))
0.0b	(+ (* x (* x (+ -1/2 (* x 1/3)))) x)

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log`
9×	`distribute-rgt-in` `-un-lft-identity` `distribute-lft-in` `associate-l*` `add-cube-cbrt`
7×	`associate-r`
6×	`associate-*r/` `add-log-exp`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`associate-+l+` `insert-posit16`
3×	`flip3-+` `*-commutative` `flip-+`
2×	`unswap-sqr`
1×	`+-commutative` `sum-log`

Calls

4 calls:

Slowest

21.0ms	(* x (+ -1/2 (* x 1/3)))
21.0ms	(* x (* x (+ -1/2 (* x 1/3))))
20.0ms	(+ (* x (* x (+ -1/2 (* x 1/3)))) x)
10.0ms	(* x 1/3)

series286.0ms

Calls

4 calls:

Slowest

135.0ms	(* x (* x (+ -1/2 (* x 1/3))))
76.0ms	(* x (+ -1/2 (* x 1/3)))
47.0ms	(+ (* x (* x (+ -1/2 (* x 1/3)))) x)
28.0ms	(* x 1/3)

simplify4.2s

Calls

55 calls:

Slowest

380.0ms	(* (* (* x x) x) (* (* (* x (+ -1/2 (* x 1/3))) (* x (+ -1/2 (* x 1/3)))) (* x (+ -1/2 (* x 1/3)))))
372.0ms	(* (* (* x x) x) (* (* (* x x) x) (* (* (+ -1/2 (* x 1/3)) (+ -1/2 (* x 1/3))) (+ -1/2 (* x 1/3)))))
350.0ms	(* (exp (* x (* x (+ -1/2 (* x 1/3))))) (exp x))
278.0ms	(- (+ x (* 1/3 (pow x 3))) (* 1/2 (pow x 2)))
278.0ms	(- (+ x (* 1/3 (pow x 3))) (* 1/2 (pow x 2)))

prune665.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 4 expressions with local error:

3.3b	(log (+ 1 x))
3.3b	(log (+ 1 x))
3.3b	(log (+ 1 x))
0.2b	(cbrt (* (* (log (+ 1 x)) (log (+ 1 x))) (log (+ 1 x))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
12×	`log-prod`
7×	`add-sqr-sqrt` `pow1` `add-exp-log` `add-cube-cbrt`
6×	`log-div`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp`
3×	`flip3-+` `rem-log-exp` `log-pow` `flip-+` `distribute-lft-out`
1×	`cbrt-prod` `pow1/3` `pow3` `rem-cbrt-cube`

Calls

4 calls:

Slowest

22.0ms	(cbrt (* (* (log (+ 1 x)) (log (+ 1 x))) (log (+ 1 x))))
7.0ms	(log (+ 1 x))
6.0ms	(log (+ 1 x))
6.0ms	(log (+ 1 x))

series160.0ms

Calls

4 calls:

Slowest

45.0ms	(log (+ 1 x))
39.0ms	(log (+ 1 x))
39.0ms	(log (+ 1 x))
38.0ms	(cbrt (* (* (log (+ 1 x)) (log (+ 1 x))) (log (+ 1 x))))

simplify3.7s

Calls

35 calls:

Slowest

627.0ms	(- (+ x (* 1/3 (pow x 3))) (* 1/2 (pow x 2)))
384.0ms	(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
349.0ms	(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
347.0ms	(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
345.0ms	(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))

prune601.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 4 expressions with local error:

3.3b	(log (+ 1 x))
3.3b	(log (+ 1 x))
3.3b	(log (+ 1 x))
3.3b	(log (+ 1 x))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

16×	`log-prod` `*-un-lft-identity`
8×	`add-sqr-sqrt` `pow1` `log-div` `add-exp-log` `add-cube-cbrt`
4×	`flip3-+` `add-cbrt-cube` `rem-log-exp` `log-pow` `flip-+` `insert-posit16` `distribute-lft-out` `add-log-exp`

Calls

4 calls:

Slowest

11.0ms	(log (+ 1 x))
6.0ms	(log (+ 1 x))
6.0ms	(log (+ 1 x))
6.0ms	(log (+ 1 x))

series113.0ms

Calls

4 calls:

Slowest

34.0ms	(log (+ 1 x))
29.0ms	(log (+ 1 x))
27.0ms	(log (+ 1 x))
22.0ms	(log (+ 1 x))

simplify3.5s

Calls

40 calls:

Slowest

413.0ms	(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
398.0ms	(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
350.0ms	(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
343.0ms	(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
240.0ms	(- (+ x (* 1/3 (pow x 3))) (* 1/2 (pow x 2)))

prune845.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes140.0ms

Accuracy

99.4% (0.1b remaining)

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

bsearch50.0ms

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.6s	2230×	body	1280	valid
688.0ms	1662×	body	640	valid
166.0ms	846×	body	320	valid
157.0ms	2838×	body	80	valid
149.0ms	2695×	body	80	nan
50.0ms	424×	body	160	valid