Details

Time bar (total: 6.7s)

sample21.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify6.0ms

Counts
1 → 1
Iterations
IterNodes
done10
210
17
05

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (/ 1.0 3.0))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
3×*-un-lft-identity add-log-exp
2×difference-of-squares
1×pow1 sub-neg times-frac flip3-- add-cbrt-cube diff-log add-exp-log add-cube-cbrt insert-posit16 flip-- distribute-lft-out--
Counts
1 → 16
Calls
1 calls:
10.0ms
(- x (/ 1.0 3.0))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(- x (/ 1.0 3.0))

simplify729.0ms

Counts
19 → 19
Iterations
IterNodes
done2005
41088
3410
2180
183
039

prune45.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ 1.0 3.0))
0.0b
(* (- x (/ 1.0 3.0)) (- x (/ 1.0 3.0)))
0.1b
(* (* (- x (/ 1.0 3.0)) (- x (/ 1.0 3.0))) (- x (/ 1.0 3.0)))
18.6b
(cbrt (* (* (- x (/ 1.0 3.0)) (- x (/ 1.0 3.0))) (- x (/ 1.0 3.0))))

rewrite184.0ms

Algorithm
rewrite-expression-head
Rules
61×flip3-- flip--
60×frac-times
42×add-sqr-sqrt
30×pow1 associate-*l/
27×*-un-lft-identity
26×cbrt-div
18×associate-*r/
12×associate-*r* difference-of-squares
11×add-cbrt-cube add-exp-log
9×add-cube-cbrt
8×swap-sqr distribute-lft-out--
7×pow-plus associate-*l* pow-prod-up
6×times-frac add-log-exp
5×sub-neg
4×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp cbrt-unprod insert-posit16
3×pow2 pow-sqr
2×pow3 *-commutative unswap-sqr
1×cbrt-prod pow1/3 diff-log rem-cbrt-cube
Counts
4 → 164
Calls
4 calls:
6.0ms
(- x (/ 1.0 3.0))
38.0ms
(* (- x (/ 1.0 3.0)) (- x (/ 1.0 3.0)))
77.0ms
(* (* (- x (/ 1.0 3.0)) (- x (/ 1.0 3.0))) (- x (/ 1.0 3.0)))
59.0ms
(cbrt (* (* (- x (/ 1.0 3.0)) (- x (/ 1.0 3.0))) (- x (/ 1.0 3.0))))

series184.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(- x (/ 1.0 3.0))
36.0ms
(* (- x (/ 1.0 3.0)) (- x (/ 1.0 3.0)))
59.0ms
(* (* (- x (/ 1.0 3.0)) (- x (/ 1.0 3.0))) (- x (/ 1.0 3.0)))
54.0ms
(cbrt (* (* (- x (/ 1.0 3.0)) (- x (/ 1.0 3.0))) (- x (/ 1.0 3.0))))

simplify923.0ms

Counts
176 → 176
Iterations
IterNodes
done2002
21842
1566
0206

prune387.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (- (* x (* x x)) (* (* (/ 1.0 3.0) (/ 1.0 3.0)) (/ 1.0 3.0))) (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))
9.5b
(cbrt (* (- x (/ 1.0 3.0)) (* (- (* x (* x x)) (* (* (/ 1.0 3.0) (/ 1.0 3.0)) (/ 1.0 3.0))) (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))))
14.9b
(/ (cbrt (* (- x (/ 1.0 3.0)) (* (- (* x (* x x)) (* (* (/ 1.0 3.0) (/ 1.0 3.0)) (/ 1.0 3.0))) (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))))) (cbrt (* (+ (* (+ (/ 1.0 3.0) x) (/ 1.0 3.0)) (* x x)) (+ (/ 1.0 3.0) x))))
18.6b
(cbrt (* (+ (* (+ (/ 1.0 3.0) x) (/ 1.0 3.0)) (* x x)) (+ (/ 1.0 3.0) x)))

rewrite471.0ms

Algorithm
rewrite-expression-head
Rules
68×frac-times cbrt-div
60×flip3-- flip--
34×associate-*r/
26×associate-/l/
22×associate-*l/
18×add-sqr-sqrt
16×*-un-lft-identity times-frac add-cube-cbrt
12×cbrt-prod flip3-+ flip-+
8×add-exp-log associate-/r/
6×pow1 add-cbrt-cube
4×associate-/r* associate-*r* associate-*l* insert-posit16 associate-/l* add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in pow1/3
1×difference-cubes cbrt-undiv clear-num frac-2neg cube-unmult div-exp pow3 pow-prod-down prod-exp *-commutative cbrt-unprod div-inv difference-of-squares unswap-sqr
Counts
4 → 158
Calls
4 calls:
160.0ms
(* (- (* x (* x x)) (* (* (/ 1.0 3.0) (/ 1.0 3.0)) (/ 1.0 3.0))) (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))
206.0ms
(cbrt (* (- x (/ 1.0 3.0)) (* (- (* x (* x x)) (* (* (/ 1.0 3.0) (/ 1.0 3.0)) (/ 1.0 3.0))) (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))))
82.0ms
(/ (cbrt (* (- x (/ 1.0 3.0)) (* (- (* x (* x x)) (* (* (/ 1.0 3.0) (/ 1.0 3.0)) (/ 1.0 3.0))) (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))))) (cbrt (* (+ (* (+ (/ 1.0 3.0) x) (/ 1.0 3.0)) (* x x)) (+ (/ 1.0 3.0) x))))
20.0ms
(cbrt (* (+ (* (+ (/ 1.0 3.0) x) (/ 1.0 3.0)) (* x x)) (+ (/ 1.0 3.0) x)))

series773.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(* (- (* x (* x x)) (* (* (/ 1.0 3.0) (/ 1.0 3.0)) (/ 1.0 3.0))) (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))
199.0ms
(cbrt (* (- x (/ 1.0 3.0)) (* (- (* x (* x x)) (* (* (/ 1.0 3.0) (/ 1.0 3.0)) (/ 1.0 3.0))) (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))))
293.0ms
(/ (cbrt (* (- x (/ 1.0 3.0)) (* (- (* x (* x x)) (* (* (/ 1.0 3.0) (/ 1.0 3.0)) (/ 1.0 3.0))) (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))))) (cbrt (* (+ (* (+ (/ 1.0 3.0) x) (/ 1.0 3.0)) (* x x)) (+ (/ 1.0 3.0) x))))
185.0ms
(cbrt (* (+ (* (+ (/ 1.0 3.0) x) (/ 1.0 3.0)) (* x x)) (+ (/ 1.0 3.0) x)))

simplify1.1s

Counts
170 → 170
Iterations
IterNodes
done2008
11092
0433

prune1.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes53.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done5
05

end0.0ms

sample509.0ms

Algorithm
intervals
Results
393.0ms8000×body80valid