Details

sample54.0ms

Algorithm

intervals

Results

18.0ms	54×	body	1280	valid
10.0ms	36×	body	640	valid
9.0ms	137×	body	80	valid
4.0ms	19×	body	320	valid
1.0ms	10×	body	160	valid

simplify19.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

19.0ms

(- (cbrt (+ x 1)) (cbrt x))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.4b

localize11.0ms

Local error

Found 3 expressions with local error:

3.2b	(- (cbrt (+ x 1)) (cbrt x))
0.6b	(cbrt x)
0.2b	(cbrt (+ x 1))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
14×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
5×	`add-cube-cbrt` `add-log-exp`
4×	`difference-of-squares`
3×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `distribute-lft-out--`
2×	`cbrt-div` `pow1/3` `distribute-lft-out`
1×	`sub-neg` `flip3-+` `flip3--` `diff-log` `flip-+` `flip--`

Counts

3 → 47

Calls

3 calls:

Slowest

49.0ms	(- (cbrt (+ x 1)) (cbrt x))
2.0ms	(cbrt (+ x 1))
1.0ms	(cbrt x)

series457.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

303.0ms	(cbrt x)
119.0ms	(- (cbrt (+ x 1)) (cbrt x))
34.0ms	(cbrt (+ x 1))

simplify3.2s

Counts

69 → 56

Calls

69 calls:

Slowest

416.0ms	(* (* (- (cbrt (+ x 1)) (cbrt x)) (- (cbrt (+ x 1)) (cbrt x))) (- (cbrt (+ x 1)) (cbrt x)))
311.0ms	(- (+ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) x))) (+ (* (pow (* x -1) 1/3) (cbrt -1)) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (pow x 2)))))
284.0ms	(- (+ (* 1/3 (pow (/ 1 (pow x 2)) 1/3)) (* 5/81 (pow (/ 1 (pow x 8)) 1/3))) (* 1/9 (pow (/ 1 (pow x 5)) 1/3)))
255.0ms	(- (+ (* 1/3 x) 1) (+ (* 1/9 (pow x 2)) (pow x 1/3)))
220.0ms	(- (+ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) x))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (pow x 2))))

prune497.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
0.5b	(* (cbrt x) (cbrt x))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 77

Calls

4 calls:

Slowest

7.0ms	(* (cbrt x) (cbrt x))
2.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.2s

Counts

4 → 12

Calls

4 calls:

Slowest

350.0ms	(* (cbrt x) (cbrt x))
293.0ms	(cbrt x)
270.0ms	(cbrt x)
245.0ms	(cbrt x)

simplify1.2s

Counts

103 → 89

Calls

103 calls:

Slowest

149.0ms	(* (pow (* x -1) 1/3) (cbrt -1))
145.0ms	(* (pow (* x -1) 1/3) (cbrt -1))
128.0ms	(* (pow (pow x 2) 1/3) (pow (cbrt -1) 2))
126.0ms	(* (pow (* x -1) 1/3) (cbrt -1))
77.0ms	(* (* (* (cbrt x) (cbrt x)) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x)))

prune874.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

localize79.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt x))
0.6b	(cbrt (cbrt x))
0.6b	(cbrt (cbrt x))
0.6b	(cbrt x)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `add-log-exp`

Counts

4 → 57

Calls

4 calls:

Slowest

2.0ms	(cbrt (cbrt x))
2.0ms	(cbrt (cbrt x))
2.0ms	(cbrt (cbrt x))
1.0ms	(cbrt x)

series1.4s

Counts

4 → 12

Calls

4 calls:

Slowest

407.0ms	(cbrt (cbrt x))
367.0ms	(cbrt (cbrt x))
324.0ms	(cbrt (cbrt x))
281.0ms	(cbrt x)

simplify2.9s

Counts

86 → 69

Calls

86 calls:

Slowest

726.0ms	(* (pow (* x -1) 1/9) (pow (cbrt -1) 1/3))
725.0ms	(* (pow (* x -1) 1/9) (pow (cbrt -1) 1/3))
702.0ms	(* (pow (* x -1) 1/9) (pow (cbrt -1) 1/3))
130.0ms	(* (pow (* x -1) 1/3) (cbrt -1))
63.0ms	(* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)))

prune937.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.1b

localize43.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `add-log-exp`

Counts

4 → 48

Calls

4 calls:

Slowest

6.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.2s

Counts

4 → 12

Calls

4 calls:

Slowest

341.0ms	(cbrt x)
296.0ms	(cbrt x)
274.0ms	(cbrt x)
274.0ms	(cbrt x)

simplify940.0ms

Counts

68 → 60

Calls

68 calls:

Slowest

160.0ms	(* (pow (* x -1) 1/3) (cbrt -1))
145.0ms	(* (pow (* x -1) 1/3) (cbrt -1))
142.0ms	(* (pow (* x -1) 1/3) (cbrt -1))
136.0ms	(* (pow (* x -1) 1/3) (cbrt -1))
30.0ms	(pow (/ 1 x) -1/3)

prune818.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 0.1b

regimes208.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch5.0ms

end0.0ms

sample1.7s

Algorithm

intervals

Results

841.0ms	1705×	body	1280	valid
312.0ms	1267×	body	640	valid
227.0ms	4112×	body	80	valid
178.0ms	614×	body	320	valid
32.0ms	302×	body	160	valid