Details

Time bar (total: 39.6s)

sample51.0ms

Algorithm
intervals
Results
18.0ms53×body1280valid
9.0ms38×body640valid
9.0ms142×body80valid
3.0ms18×body320valid
1.0ms5×body160valid

simplify23.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
23.0ms
(- (cbrt (+ x 1)) (cbrt x))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.4b

localize11.0ms

Local error

Found 3 expressions with local error:

2.8b
(- (cbrt (+ x 1)) (cbrt x))
0.6b
(cbrt x)
0.3b
(cbrt (+ x 1))

rewrite50.0ms

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
46.0ms
(- (cbrt (+ x 1)) (cbrt x))
2.0ms
(cbrt (+ x 1))
1.0ms
(cbrt x)

series415.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
250.0ms
(cbrt x)
107.0ms
(- (cbrt (+ x 1)) (cbrt x))
58.0ms
(cbrt (+ x 1))

simplify2.0s

Counts
32 → 56
Calls
32 calls:
Slowest
310.0ms
(- (+ (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)))))
309.0ms
(- (+ (* 1/3 x) 1) (+ (* 1/9 (pow x 2)) (pow x 1/3)))
264.0ms
(- (+ (* 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)))
252.0ms
(- (+ (* 1/3 (pow (/ 1 (pow x 2)) 1/3)) (pow (/ 1 x) -1/3)) (* 1/9 (pow (/ 1 (pow x 5)) 1/3)))
212.0ms
(- (+ (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))))

prune486.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize47.0ms

Local error

Found 4 expressions with local error:

2.7b
(- (pow (cbrt (+ x 1)) 3) (pow (cbrt x) 3))
0.7b
(pow (cbrt x) 3)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
71×add-sqr-sqrt
52×cbrt-prod
42×unpow-prod-down cube-prod
41×*-un-lft-identity
36×difference-of-squares
13×distribute-lft-out-- sqr-pow
11×add-cube-cbrt
6×add-log-exp
5×pow1 add-exp-log
4×add-cbrt-cube insert-posit16 distribute-lft-out
3×pow-unpow pow1/3
2×pow-pow
1×cube-mult pow-to-exp difference-cubes sub-neg flip3-- diff-log unpow3 pow-exp flip-- rem-cube-cbrt
Counts
4 → 118
Calls
4 calls:
Slowest
109.0ms
(- (pow (cbrt (+ x 1)) 3) (pow (cbrt x) 3))
4.0ms
(pow (cbrt x) 3)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series968.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
313.0ms
(pow (cbrt x) 3)
291.0ms
(cbrt x)
271.0ms
(cbrt x)
91.0ms
(- (pow (cbrt (+ x 1)) 3) (pow (cbrt x) 3))

simplify23.9s

Counts
134 → 130
Calls
134 calls:
Slowest
560.0ms
(- (pow (sqrt (cbrt (+ x 1))) 3) (sqrt (pow (cbrt x) 3)))
430.0ms
(+ (pow (sqrt (cbrt (+ x 1))) 3) (pow (cbrt x) (/ 3 2)))
427.0ms
(+ (pow (cbrt (+ x 1)) (/ 3 2)) (pow (sqrt (cbrt x)) 3))
380.0ms
(+ (pow (cbrt (sqrt (+ x 1))) 3) (pow (cbrt (sqrt x)) 3))
379.0ms
(+ (pow (cbrt (+ x 1)) (/ 3 2)) (pow (cbrt x) (/ 3 2)))

prune1.6s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.4b
(* (cbrt x) (cbrt x))

rewrite10.0ms

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

series1.2s

Counts
4 → 12
Calls
4 calls:
Slowest
313.0ms
(* (cbrt x) (cbrt x))
311.0ms
(cbrt x)
278.0ms
(cbrt x)
277.0ms
(cbrt x)

simplify864.0ms

Counts
63 → 89
Calls
63 calls:
Slowest
141.0ms
(* (pow (* x -1) 1/3) (cbrt -1))
123.0ms
(* (pow (* x -1) 1/3) (cbrt -1))
100.0ms
(* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (cbrt x)) (cbrt (cbrt x))))
94.0ms
(* (pow (* x -1) 1/3) (cbrt -1))
86.0ms
(* (pow (pow x 2) 1/3) (pow (cbrt -1) 2))

prune934.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize63.0ms

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)

rewrite4.0ms

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

series1.4s

Counts
4 → 12
Calls
4 calls:
Slowest
426.0ms
(cbrt (cbrt x))
396.0ms
(cbrt (cbrt x))
346.0ms
(cbrt (cbrt x))
273.0ms
(cbrt x)

simplify2.5s

Counts
33 → 69
Calls
33 calls:
Slowest
802.0ms
(* (pow (* x -1) 1/9) (pow (cbrt -1) 1/3))
744.0ms
(* (pow (* x -1) 1/9) (pow (cbrt -1) 1/3))
674.0ms
(* (pow (* x -1) 1/9) (pow (cbrt -1) 1/3))
124.0ms
(* (pow (* x -1) 1/3) (cbrt -1))
31.0ms
(pow (/ 1 x) -1/9)

prune798.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

regimes176.0ms

Accuracy

0% (0.4b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch6.0ms

end0.0ms

sample1.8s

Algorithm
intervals
Results
724.0ms1255×body640valid
497.0ms1693×body1280valid
260.0ms4123×body80valid
89.0ms597×body320valid
77.0ms332×body160valid