Details

sample28.0ms

Algorithm

intervals

Results

8.0ms	49×	body	1280	valid
6.0ms	47×	body	640	valid
5.0ms	126×	body	80	valid
2.0ms	22×	body	320	valid
1.0ms	12×	body	160	valid

simplify10.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

10.0ms

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.8b

localize11.0ms

Local error

Found 3 expressions with local error:

3.4b	(- (cbrt (+ x 1)) (cbrt x))
0.6b	(cbrt x)
0.3b	(cbrt (+ x 1))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

64×	`cbrt-prod`
56×	`*-un-lft-identity`
42×	`prod-diff`
41×	`add-sqr-sqrt`
33×	`add-cube-cbrt`
9×	`distribute-lft-out`
7×	`fma-neg`
5×	`add-log-exp`
4×	`difference-of-squares`
3×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--`
2×	`cbrt-div` `pow1/3`
1×	`sub-neg` `flip3-+` `flip3--` `diff-log` `flip-+` `flip--`

Counts

3 → 102

Calls

3 calls:

Slowest

30.0ms	(- (cbrt (+ x 1)) (cbrt x))
2.0ms	(cbrt (+ x 1))
1.0ms	(cbrt x)

series473.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

291.0ms	(cbrt x)
134.0ms	(- (cbrt (+ x 1)) (cbrt x))
48.0ms	(cbrt (+ x 1))

simplify8.9s

Counts

166 → 111

Calls

166 calls:

Slowest

376.0ms	(* (* (- (cbrt (+ x 1)) (cbrt x)) (- (cbrt (+ x 1)) (cbrt x))) (- (cbrt (+ x 1)) (cbrt x)))
356.0ms	(- (+ (* 1/3 x) 1) (+ (* 1/9 (pow x 2)) (pow x 1/3)))
297.0ms	(- (+ (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)))))
263.0ms	(- (+ (* 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)))
232.0ms	(- (+ (* 1/3 (pow (/ 1 (pow x 2)) 1/3)) (pow (/ 1 x) -1/3)) (* 1/9 (pow (/ 1 (pow x 5)) 1/3)))

prune982.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.3b	(cbrt (+ 1 x))
0.3b	(cbrt (+ 1 x))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
12×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `cbrt-div` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 62

Calls

4 calls:

Slowest

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

series624.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

288.0ms	(cbrt x)
235.0ms	(cbrt x)
55.0ms	(cbrt (+ 1 x))
46.0ms	(cbrt (+ 1 x))

simplify2.5s

Counts

88 → 74

Calls

88 calls:

Slowest

274.0ms	(- (+ (* 1/3 (pow (/ 1 (pow x 2)) 1/3)) (pow (/ 1 x) -1/3)) (* 1/9 (pow (/ 1 (pow x 5)) 1/3)))
239.0ms	(- (+ (* 1/3 (pow (/ 1 (pow x 2)) 1/3)) (pow (/ 1 x) -1/3)) (* 1/9 (pow (/ 1 (pow x 5)) 1/3)))
226.0ms	(- (+ (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))))
223.0ms	(- (+ (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))))
128.0ms	(* (pow (* x -1) 1/3) (cbrt -1))

prune871.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.3b

localize65.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.3b	(cbrt (cbrt (+ 1 x)))
0.3b	(cbrt (+ 1 x))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
13×	`*-un-lft-identity`
9×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`cbrt-div`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 65

Calls

4 calls:

Slowest

7.0ms	(cbrt (+ 1 x))
3.0ms	(cbrt (cbrt (+ 1 x)))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series629.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

275.0ms	(cbrt x)
264.0ms	(cbrt x)
47.0ms	(cbrt (+ 1 x))
43.0ms	(cbrt (cbrt (+ 1 x)))

simplify2.7s

Counts

94 → 77

Calls

94 calls:

Slowest

289.0ms	(- (+ (pow (/ 1 x) -1/9) (* 1/9 (pow (/ 1 (pow x 8)) 1/9))) (* 4/81 (pow (/ 1 (pow x 17)) 1/9)))
262.0ms	(- (+ (* 1/3 (pow (/ 1 (pow x 2)) 1/3)) (pow (/ 1 x) -1/3)) (* 1/9 (pow (/ 1 (pow x 5)) 1/3)))
227.0ms	(- (+ (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))))
214.0ms	(- (+ (exp (* 1/9 (- (log -1) (log (/ -1 x))))) (* 1/9 (/ (exp (* 1/9 (- (log -1) (log (/ -1 x))))) x))) (* 4/81 (/ (exp (* 1/9 (- (log -1) (log (/ -1 x))))) (pow x 2))))
151.0ms	(- (+ (* 1/3 x) 1) (* 1/9 (pow x 2)))

prune1.2s

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.2b

localize77.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.3b	(cbrt (cbrt (+ 1 x)))
0.3b	(cbrt (cbrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

32×	`cbrt-div`
22×	`cbrt-prod`
11×	`*-un-lft-identity`
9×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `frac-times` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`associate-l/` `associate-r/`
1×	`distribute-lft-out`

Counts

4 → 71

Calls

4 calls:

Slowest

7.0ms	(cbrt (cbrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))))
5.0ms	(cbrt (cbrt (+ 1 x)))
2.0ms	(cbrt x)
1.0ms	(cbrt x)

series605.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

252.0ms	(cbrt x)
252.0ms	(cbrt x)
61.0ms	(cbrt (cbrt (+ 1 x)))
41.0ms	(cbrt (cbrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))))

simplify4.3s

Counts

106 → 83

Calls

106 calls:

Slowest

307.0ms	(- (+ (* 2/27 (pow (/ 1 (pow x 25)) 1/27)) (pow (/ -1 x) -2/27)) (* 25/729 (pow (/ 1 (pow x 52)) 1/27)))
297.0ms	(- (+ (pow (/ 1 x) -1/9) (* 1/9 (pow (/ 1 (pow x 8)) 1/9))) (* 4/81 (pow (/ 1 (pow x 17)) 1/9)))
295.0ms	(- (+ (* 2/27 (pow (/ 1 (pow x 25)) 1/27)) (pow (/ 1 x) -2/27)) (* 25/729 (pow (/ 1 (pow x 52)) 1/27)))
249.0ms	(- (+ (exp (* 1/9 (- (log -1) (log (/ -1 x))))) (* 1/9 (/ (exp (* 1/9 (- (log -1) (log (/ -1 x))))) x))) (* 4/81 (/ (exp (* 1/9 (- (log -1) (log (/ -1 x))))) (pow x 2))))
202.0ms	(cbrt (cbrt (* (cbrt (+ (pow 1 3) (pow x 3))) (cbrt (- (* 1 1) (* x x))))))

prune1.4s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.2b

regimes161.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch3.0ms

end0.0ms

sample1.8s

Algorithm

intervals

Results

924.0ms	1705×	body	1280	valid
366.0ms	1220×	body	640	valid
269.0ms	4123×	body	80	valid
104.0ms	658×	body	320	valid
31.0ms	294×	body	160	valid