Details

sample97.0ms

Algorithm

intervals

Results

52.0ms	67×	body	1280	valid
18.0ms	42×	body	640	valid
8.0ms	33×	body	320	valid
6.0ms	103×	body	80	valid
4.0ms	99×	body	80	nan
2.0ms	11×	body	160	valid

simplify11.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

11.0ms

(log (+ 1 x))

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.2b

localize12.0ms

Local error

Found 1 expressions with local error:

3.2b	(log (+ 1 x))

rewrite4.0ms

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))

series34.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

34.0ms

(log (+ 1 x))

simplify798.0ms

Counts

10 → 19

Calls

10 calls:

Slowest

367.0ms	(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
184.0ms	(- (+ x (* 1/3 (pow x 3))) (* 1/2 (pow x 2)))
141.0ms	(- (/ 1 x) (+ (log (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))
50.0ms	(log (+ (pow 1 3) (pow x 3)))
24.0ms	(log (- (* 1 1) (* x x)))

prune150.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 3 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))))

rewrite79.0ms

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

43.0ms	(* x (* x (+ -1/2 (* x 1/3))))
23.0ms	(* x (+ -1/2 (* x 1/3)))
11.0ms	(* x 1/3)

series219.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

107.0ms	(* x (+ -1/2 (* x 1/3)))
83.0ms	(* x (* x (+ -1/2 (* x 1/3))))
30.0ms	(* x 1/3)

simplify3.1s

Counts

47 → 76

Calls

47 calls:

Slowest

417.0ms	(* (* (* x x) x) (* (* (* x (+ -1/2 (* x 1/3))) (* x (+ -1/2 (* x 1/3)))) (* x (+ -1/2 (* x 1/3)))))
336.0ms	(* (* (* x x) x) (* (* (* x x) x) (* (* (+ -1/2 (* x 1/3)) (+ -1/2 (* x 1/3))) (+ -1/2 (* x 1/3)))))
247.0ms	(+ (* -1/2 -1/2) (- (* (* x 1/3) (* x 1/3)) (* -1/2 (* x 1/3))))
217.0ms	(- (* 1/3 (pow x 3)) (* 1/2 (pow x 2)))
215.0ms	(+ (* -1/2 -1/2) (- (* (* x 1/3) (* x 1/3)) (* -1/2 (* x 1/3))))

prune557.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 2 expressions with local error:

3.2b	(log (sqrt (+ 1 x)))
3.2b	(log (sqrt (+ 1 x)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

Slowest

7.0ms	(log (sqrt (+ 1 x)))
5.0ms	(log (sqrt (+ 1 x)))

series179.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

92.0ms	(log (sqrt (+ 1 x)))
87.0ms	(log (sqrt (+ 1 x)))

simplify1.1s

Counts

28 → 48

Calls

28 calls:

Slowest

292.0ms	(- (+ (* 1/2 x) (* 1/6 (pow x 3))) (* 1/4 (pow x 2)))
227.0ms	(- (+ (* 1/2 x) (* 1/6 (pow x 3))) (* 1/4 (pow x 2)))
117.0ms	(log (sqrt (+ (pow 1 3) (pow x 3))))
115.0ms	(log (sqrt (+ (pow 1 3) (pow x 3))))
35.0ms	(log (sqrt (- (* 1 1) (* x x))))

prune350.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 2 expressions with local error:

3.2b	(log (sqrt (+ 1 x)))
3.2b	(log (+ 1 x))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

Slowest

4.0ms	(log (sqrt (+ 1 x)))
3.0ms	(log (+ 1 x))

series112.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

88.0ms	(log (sqrt (+ 1 x)))
23.0ms	(log (+ 1 x))

simplify1.4s

Counts

24 → 43

Calls

24 calls:

Slowest

386.0ms	(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
297.0ms	(- (+ (* 1/2 x) (* 1/6 (pow x 3))) (* 1/4 (pow x 2)))
223.0ms	(- (+ x (* 1/3 (pow x 3))) (* 1/2 (pow x 2)))
198.0ms	(- (/ 1 x) (+ (log (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))
65.0ms	(log (sqrt (+ (pow 1 3) (pow x 3))))

prune304.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes151.0ms

Accuracy

99.5% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 20.7b

bsearch45.0ms

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.8s	2320×	body	1280	valid
632.0ms	1657×	body	640	valid
167.0ms	809×	body	320	valid
132.0ms	2808×	body	80	valid
111.0ms	2637×	body	80	nan
50.0ms	406×	body	160	valid