Details

sample113.0ms

Algorithm

intervals

Results

61.0ms	71×	body	1280	valid
24.0ms	55×	body	640	valid
6.0ms	21×	body	320	valid
5.0ms	96×	body	80	valid
3.0ms	81×	body	80	nan
2.0ms	13×	body	160	valid

simplify13.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

13.0ms

(log (+ 1 x))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.8b

localize12.0ms

Local error

Found 1 expressions with local error:

4.5b	(log (+ 1 x))

rewrite6.0ms

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`

Counts

1 → 16

Calls

1 calls:

Slowest

6.0ms

(log (+ 1 x))

series54.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

54.0ms

(log (+ 1 x))

simplify914.0ms

Counts

10 → 19

Calls

10 calls:

Slowest

363.0ms	(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
254.0ms	(- (+ x (* 1/3 (pow x 3))) (* 1/2 (pow x 2)))
192.0ms	(- (/ 1 x) (+ (log (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))
38.0ms	(log (+ (pow 1 3) (pow x 3)))
20.0ms	(log (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))

prune183.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.4b	(* x 1/3)
0.1b	(* x (+ -1/2 (* x 1/3)))
0.1b	(* x (* x (+ -1/2 (* x 1/3))))
0.0b	(+ (* x (* x (+ -1/2 (* x 1/3)))) x)

rewrite80.0ms

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`

Counts

4 → 83

Calls

4 calls:

Slowest

38.0ms	(+ (* x (* x (+ -1/2 (* x 1/3)))) x)
24.0ms	(* x (* x (+ -1/2 (* x 1/3))))
10.0ms	(* x (+ -1/2 (* x 1/3)))
5.0ms	(* x 1/3)

series304.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

119.0ms	(* x (* x (+ -1/2 (* x 1/3))))
111.0ms	(* x (+ -1/2 (* x 1/3)))
44.0ms	(+ (* x (* x (+ -1/2 (* x 1/3)))) x)
30.0ms	(* x 1/3)

simplify3.9s

Counts

55 → 95

Calls

55 calls:

Slowest

425.0ms	(* (exp (* x (* x (+ -1/2 (* x 1/3))))) (exp x))
345.0ms	(* (* (* x x) x) (* (* (* x x) x) (* (* (+ -1/2 (* x 1/3)) (+ -1/2 (* x 1/3))) (+ -1/2 (* x 1/3)))))
272.0ms	(* (* (* x x) x) (* (* (* x (+ -1/2 (* x 1/3))) (* x (+ -1/2 (* x 1/3)))) (* x (+ -1/2 (* x 1/3)))))
260.0ms	(- (+ x (* 1/3 (pow x 3))) (* 1/2 (pow x 2)))
253.0ms	(- (+ x (* 1/3 (pow x 3))) (* 1/2 (pow x 2)))

prune658.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes94.0ms

Accuracy

99.4% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 20.9b

bsearch53.0ms

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.8s	2275×	body	1280	valid
689.0ms	1657×	body	640	valid
219.0ms	2823×	body	80	valid
179.0ms	822×	body	320	valid
97.0ms	2639×	body	80	nan
57.0ms	423×	body	160	valid