Details

sample52.0ms

Algorithm

intervals

Results

18.0ms	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

simplify11.0ms

Calls

1 calls:

Slowest

11.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.1b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

3 calls:

Slowest

10.0ms	(cbrt (+ x 1))
6.0ms	(- (cbrt (+ x 1)) (cbrt x))
0.0ms	(cbrt x)

series415.0ms

Calls

3 calls:

Slowest

261.0ms	(cbrt x)
110.0ms	(- (cbrt (+ x 1)) (cbrt x))
44.0ms	(cbrt (+ x 1))

simplify1.4s

Calls

20 calls:

Slowest

318.0ms	(- (+ (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))))
314.0ms	(- (+ (* 1/3 x) 1) (+ (* 1/9 (pow x 2)) (pow x 1/3)))
197.0ms	(- (+ (* 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)))
165.0ms	(- (+ (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)))))
106.0ms	(- (+ (* 1/3 (pow (/ 1 (pow x 2)) 1/3)) (pow (/ 1 x) -1/3)) (* 1/9 (pow (/ 1 (pow x 5)) 1/3)))

prune409.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize24.0ms

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))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`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

30.0ms	(- (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

380.0ms	(cbrt (cbrt x))
373.0ms	(cbrt (cbrt x))
363.0ms	(cbrt (cbrt x))
89.0ms	(- (cbrt (+ x 1)) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))))

simplify844.0ms

Calls

22 calls:

Slowest

273.0ms	(- (+ (* 1/3 x) 1) (+ (* 1/9 (pow x 2)) (pow x 1/3)))
195.0ms	(- (+ (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)))))
115.0ms	(- (+ (* 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)))
111.0ms	(/ (exp (cbrt (+ x 1))) (exp (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)))))
23.0ms	(* (pow (* x -1) 1/9) (pow (cbrt -1) 1/3))

prune688.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize65.0ms

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))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1`
16×	`add-sqr-sqrt`
12×	`pow-pow`
10×	`add-exp-log`
8×	`cbrt-prod` `*-un-lft-identity` `pow1/3`
7×	`pow-prod-up`
6×	`add-cbrt-cube` `add-cube-cbrt` `add-log-exp`
5×	`pow-plus` `pow-prod-down` `difference-of-squares`
4×	`insert-posit16`
3×	`unpow-prod-down` `cube-prod` `pow-exp` `prod-exp` `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

35.0ms	(- (pow (cbrt (+ x 1)) 3) (pow (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) 3))
11.0ms	(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

414.0ms	(cbrt (cbrt x))
393.0ms	(cbrt (cbrt x))
334.0ms	(pow (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) 3)
95.0ms	(- (pow (cbrt (+ x 1)) 3) (pow (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) 3))

simplify1.7s

Calls

52 calls:

Slowest

129.0ms	(+ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (+ (* (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)))) (* (cbrt (+ x 1)) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))))))
126.0ms	(/ (exp (pow (cbrt (+ x 1)) 3)) (exp (pow (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) 3)))
108.0ms	(- (pow (sqrt (cbrt (+ x 1))) 3) (sqrt (pow (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) 3)))
93.0ms	(- (sqrt (pow (cbrt (+ x 1)) 3)) (sqrt (pow (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) 3)))
91.0ms	(- (pow (cbrt (+ x 1)) 3) (pow (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) 3))

prune1.2s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize18.0ms

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))

rewrite6.0ms

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`

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

436.0ms	(cbrt (cbrt x))
427.0ms	(cbrt (cbrt x))
382.0ms	(cbrt (cbrt x))
363.0ms	(cbrt (cbrt x))

simplify146.0ms

Calls

24 calls:

Slowest

24.0ms	(* (pow (* x -1) 1/9) (pow (cbrt -1) 1/3))
16.0ms	(* (pow (* x -1) 1/9) (pow (cbrt -1) 1/3))
13.0ms	(* (pow (* x -1) 1/9) (pow (cbrt -1) 1/3))
13.0ms	(pow (/ 1 x) -1/9)
12.0ms	(* (pow (* x -1) 1/9) (pow (cbrt -1) 1/3))

prune641.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.2b

regimes49.0ms

Accuracy

0% (0.6b remaining)

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

bsearch5.0ms

end0.0ms

sample1.3s

Algorithm

intervals

Results

564.0ms	1682×	body	1280	valid
292.0ms	4078×	body	80	valid
255.0ms	1325×	body	640	valid
86.0ms	620×	body	320	valid
27.0ms	295×	body	160	valid