Details

sample53.0ms

Algorithm

intervals

Results

19.0ms	57×	body	1280	valid
10.0ms	40×	body	640	valid
8.0ms	128×	body	80	valid
4.0ms	21×	body	320	valid
1.0ms	10×	body	160	valid

simplify20.0ms

Calls

1 calls:

Slowest

20.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.1b

localize21.0ms

Local error

Found 3 expressions with local error:

3.4b	(- (cbrt (+ x 1)) (cbrt x))
0.5b	(cbrt x)
0.2b	(cbrt (+ x 1))

rewrite72.0ms

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--`

Calls

3 calls:

Slowest

64.0ms	(- (cbrt (+ x 1)) (cbrt x))
5.0ms	(cbrt (+ x 1))
1.0ms	(cbrt x)

series435.0ms

Calls

3 calls:

Slowest

227.0ms	(cbrt x)
140.0ms	(- (cbrt (+ x 1)) (cbrt x))
67.0ms	(cbrt (+ x 1))

simplify1.7s

Calls

32 calls:

Slowest

246.0ms	(- (+ (* 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)))
239.0ms	(- (+ (* 1/3 x) 1) (+ (* 1/9 (pow x 2)) (pow x 1/3)))
226.0ms	(- (+ (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)))))
196.0ms	(- (+ (* 1/3 (pow (/ 1 (pow x 2)) 1/3)) (pow (/ 1 x) -1/3)) (* 1/9 (pow (/ 1 (pow x 5)) 1/3)))
194.0ms	(- (+ (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))))

prune496.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize31.0ms

Local error

Found 4 expressions with local error:

22.1b	(- (cbrt (+ x 1)) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))))
0.6b	(cbrt (cbrt x))
0.6b	(cbrt (cbrt x))
0.6b	(cbrt (cbrt x))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

27×	`cbrt-prod`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`add-log-exp`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16`
3×	`pow1/3`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Calls

4 calls:

Slowest

50.0ms	(- (cbrt (+ x 1)) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))))
1.0ms	(cbrt (cbrt x))
1.0ms	(cbrt (cbrt x))
1.0ms	(cbrt (cbrt x))

series1.2s

Calls

4 calls:

Slowest

385.0ms	(cbrt (cbrt x))
381.0ms	(cbrt (cbrt x))
380.0ms	(cbrt (cbrt x))
92.0ms	(- (cbrt (+ x 1)) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))))

simplify3.6s

Calls

31 calls:

Slowest

1.1s	(* (pow (* x -1) 1/9) (pow (cbrt -1) 1/3))
657.0ms	(* (pow (* x -1) 1/9) (pow (cbrt -1) 1/3))
637.0ms	(* (pow (* x -1) 1/9) (pow (cbrt -1) 1/3))
346.0ms	(- (+ (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)))))
275.0ms	(- (+ (* 1/3 x) 1) (+ (* 1/9 (pow x 2)) (pow x 1/3)))

prune740.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize107.0ms

Local error

Found 4 expressions with local error:

21.3b	(- (pow (cbrt (+ x 1)) 3) (pow (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) 3))
0.7b	(pow (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) 3)
0.6b	(cbrt (cbrt x))
0.6b	(cbrt (cbrt x))

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
24×	`pow1`
22×	`cbrt-prod`
15×	`pow-pow`
12×	`difference-of-squares`
11×	`*-un-lft-identity` `pow1/3`
10×	`add-exp-log`
9×	`pow-prod-up` `add-cube-cbrt` `sqr-pow`
6×	`pow-plus` `add-cbrt-cube` `add-log-exp`
5×	`unpow-prod-down` `cube-prod` `pow-prod-down`
4×	`insert-posit16`
3×	`pow-unpow` `pow-exp` `prod-exp` `pow-sqr` `cbrt-unprod` `rem-cube-cbrt`
2×	`pow2`
1×	`cube-mult` `pow-to-exp` `difference-cubes` `sub-neg` `flip3--` `diff-log` `unpow3` `pow3` `flip--` `distribute-lft-out--`

Calls

4 calls:

Slowest

124.0ms	(- (pow (cbrt (+ x 1)) 3) (pow (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) 3))
36.0ms	(pow (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) 3)
1.0ms	(cbrt (cbrt x))
1.0ms	(cbrt (cbrt x))

series1.2s

Calls

4 calls:

Slowest

394.0ms	(cbrt (cbrt x))
359.0ms	(cbrt (cbrt x))
349.0ms	(pow (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) 3)
94.0ms	(- (pow (cbrt (+ x 1)) 3) (pow (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) 3))

simplify9.7s

Calls

77 calls:

Slowest

665.0ms	(* (pow (* x -1) 1/9) (pow (cbrt -1) 1/3))
635.0ms	(* (pow (* x -1) 1/9) (pow (cbrt -1) 1/3))
395.0ms	(+ (pow (cbrt (sqrt (+ x 1))) 3) (pow (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (/ 3 2)))
376.0ms	(+ (sqrt (pow (cbrt (+ x 1)) 3)) (pow (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (/ 3 2)))
374.0ms	(+ (pow (cbrt (sqrt (+ x 1))) 3) (pow (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (/ 3 2)))

prune1.6s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize46.0ms

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 (cbrt x))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

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

series1.6s

Calls

4 calls:

Slowest

454.0ms	(cbrt (cbrt x))
443.0ms	(cbrt (cbrt x))
375.0ms	(cbrt (cbrt x))
350.0ms	(cbrt (cbrt x))

simplify3.1s

Calls

36 calls:

Slowest

798.0ms	(* (pow (* x -1) 1/9) (pow (cbrt -1) 1/3))
762.0ms	(* (pow (* x -1) 1/9) (pow (cbrt -1) 1/3))
677.0ms	(* (pow (* x -1) 1/9) (pow (cbrt -1) 1/3))
647.0ms	(* (pow (* x -1) 1/9) (pow (cbrt -1) 1/3))
31.0ms	(pow (/ 1 x) -1/9)

prune996.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.2b

regimes70.0ms

Accuracy

0% (0.6b remaining)

Error of 0.8b against oracle of 0.2b and baseline of 0.8b

bsearch8.0ms

end0.0ms

sample1.6s

Algorithm

intervals

Results

818.0ms	1682×	body	1280	valid
282.0ms	4078×	body	80	valid
257.0ms	1325×	body	640	valid
170.0ms	620×	body	320	valid
26.0ms	295×	body	160	valid