Details

Time bar (total: 8.7s)

sample17.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify23.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (/ 1.0 3.0))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
3×*-un-lft-identity add-log-exp
2×difference-of-squares
1×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- times-frac diff-log add-cbrt-cube flip-- distribute-lft-out--
Counts
1 → 15
Calls
1 calls:
17.0ms
(- x (/ 1.0 3.0))

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(- x (/ 1.0 3.0))

simplify1.6s

Counts
18 → 18

prune47.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
12.8b
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
16×times-frac
12×add-sqr-sqrt add-cube-cbrt
6×difference-of-squares
5×distribute-lft-out
4×add-exp-log associate-/r* add-cbrt-cube associate-/l* add-log-exp
2×pow1 flip3-- associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-sub div-exp clear-num flip-+ div-inv
Counts
2 → 54
Calls
2 calls:
16.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
43.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))

series184.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
124.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))

simplify603.0ms

Counts
60 → 60

prune138.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
0.1b
(* (+ x (/ 1.0 3.0)) (+ (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))
0.1b
(* (* x x) (* x x))
21.6b
(/ (- (* (* x x) (* x x)) (* (* (/ 1.0 3.0) (/ 1.0 3.0)) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (* (+ x (/ 1.0 3.0)) (+ (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))))

rewrite608.0ms

Algorithm
rewrite-expression-head
Rules
117×pow1
36×pow-prod-up
24×pow-prod-down
23×add-exp-log add-cbrt-cube
22×pow-sqr
18×pow-plus
13×pow2 flip3-+ flip-+
10×add-sqr-sqrt *-un-lft-identity prod-exp cbrt-unprod
8×frac-times add-cube-cbrt associate-/r/
6×add-log-exp
5×associate-*l*
4×times-frac associate-*r/ associate-*r* associate-*l/ associate-/l*
2×cbrt-undiv div-exp *-commutative associate-/l/ difference-of-squares unswap-sqr
1×+-commutative distribute-rgt-in flip3-- frac-2neg distribute-lft-in div-sub swap-sqr clear-num associate-/r* sum-log flip-- div-inv distribute-lft-out
Counts
4 → 137
Calls
4 calls:
14.0ms
(+ (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
89.0ms
(* (+ x (/ 1.0 3.0)) (+ (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))
53.0ms
(* (* x x) (* x x))
444.0ms
(/ (- (* (* x x) (* x x)) (* (* (/ 1.0 3.0) (/ 1.0 3.0)) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (* (+ x (/ 1.0 3.0)) (+ (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))))

series405.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(+ (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
39.0ms
(* (+ x (/ 1.0 3.0)) (+ (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))
40.0ms
(* (* x x) (* x x))
276.0ms
(/ (- (* (* x x) (* x x)) (* (* (/ 1.0 3.0) (/ 1.0 3.0)) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (* (+ x (/ 1.0 3.0)) (+ (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))))

simplify1.6s

Counts
149 → 149

prune275.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x (/ 1.0 3.0)))
0.0b
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
1.9b
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))
4.9b
(/ (/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))) (sqrt (+ x (/ 1.0 3.0))))

rewrite163.0ms

Algorithm
rewrite-expression-head
Rules
490×times-frac
367×*-un-lft-identity
292×sqrt-prod
222×add-sqr-sqrt
221×add-cube-cbrt
73×distribute-lft-out
65×difference-of-squares
38×associate-/l*
22×sqrt-div
20×associate-/r/
14×associate-/r*
11×add-exp-log flip3-+ add-cbrt-cube flip-+
10×div-inv
6×add-log-exp
5×pow1
4×cbrt-undiv div-exp
3×div-sub associate-/l/
2×flip3-- frac-2neg clear-num flip--
1×sub-neg rem-sqrt-square sqrt-pow1 pow1/2 diff-log
Counts
4 → 382
Calls
4 calls:
17.0ms
(sqrt (+ x (/ 1.0 3.0)))
10.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
39.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))
72.0ms
(/ (/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))) (sqrt (+ x (/ 1.0 3.0))))

series323.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(sqrt (+ x (/ 1.0 3.0)))
54.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
114.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))
123.0ms
(/ (/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))) (sqrt (+ x (/ 1.0 3.0))))

simplify1.3s

Counts
394 → 394

prune792.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes52.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify20.0ms

end0.0ms

sample424.0ms

Algorithm
intervals
Results
236.0ms8000×body80valid