Details

sample128.0ms

Algorithm

intervals

Results

70.0ms	74×	body	1280	valid
23.0ms	49×	body	640	valid
13.0ms	90×	body	80	valid
7.0ms	24×	body	320	valid
3.0ms	74×	body	80	nan
3.0ms	19×	body	160	valid

simplify7.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

7.0ms

(log (+ 1 x))

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.1b

localize6.0ms

Local error

Found 1 expressions with local error:

5.7b	(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`

Counts

1 → 16

Calls

1 calls:

Slowest

3.0ms

(log (+ 1 x))

series31.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

30.0ms

(log (+ 1 x))

simplify854.0ms

Counts

10 → 19

Calls

10 calls:

Slowest

347.0ms	(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
218.0ms	(- (+ x (* 1/3 (pow x 3))) (* 1/2 (pow x 2)))
170.0ms	(- (/ 1 x) (+ (log (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))
43.0ms	(log (+ (pow 1 3) (pow x 3)))
28.0ms	(log (- (* 1 1) (* x x)))

prune154.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

Slowest

22.0ms	(* x (* x (+ -1/2 (* x 1/3))))
10.0ms	(* x (+ -1/2 (* x 1/3)))
5.0ms	(* x 1/3)

series210.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

98.0ms	(* x (* x (+ -1/2 (* x 1/3))))
88.0ms	(* x (+ -1/2 (* x 1/3)))
24.0ms	(* x 1/3)

simplify2.9s

Counts

47 → 76

Calls

47 calls:

Slowest

368.0ms	(* (* (* x x) x) (* (* (* x x) x) (* (* (+ -1/2 (* x 1/3)) (+ -1/2 (* x 1/3))) (+ -1/2 (* x 1/3)))))
319.0ms	(* (* (* x x) x) (* (* (* x (+ -1/2 (* x 1/3))) (* x (+ -1/2 (* x 1/3)))) (* x (+ -1/2 (* x 1/3)))))
231.0ms	(- (* 1/3 (pow x 3)) (* 1/2 (pow x 2)))
230.0ms	(+ (* -1/2 -1/2) (- (* (* x 1/3) (* x 1/3)) (* -1/2 (* x 1/3))))
189.0ms	(+ (* -1/2 -1/2) (- (* (* x 1/3) (* x 1/3)) (* -1/2 (* x 1/3))))

prune478.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes60.0ms

Accuracy

99.5% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 20.5b

bsearch36.0ms

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.7s	2258×	body	1280	valid
683.0ms	1725×	body	640	valid
161.0ms	799×	body	320	valid
136.0ms	2777×	body	80	valid
86.0ms	2552×	body	80	nan
53.0ms	441×	body	160	valid