Details

Time bar (total: 7.6s)

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify24.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (/ 1.0 3.0))

rewrite22.0ms

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:
22.0ms
(- x (/ 1.0 3.0))

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(- x (/ 1.0 3.0))

simplify1.6s

Counts
18 → 18

prune32.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
0.0b
(+ x (/ 1.0 3.0))
16.6b
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
16×times-frac
13×add-sqr-sqrt add-cube-cbrt
7×add-log-exp
6×distribute-lft-out difference-of-squares
5×add-exp-log add-cbrt-cube
4×associate-/r* associate-/l*
3×pow1
2×flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-sub div-exp clear-num sum-log div-inv
Counts
3 → 66
Calls
3 calls:
8.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
11.0ms
(+ x (/ 1.0 3.0))
42.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))

series220.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
27.0ms
(+ x (/ 1.0 3.0))
129.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))

simplify645.0ms

Counts
75 → 75

prune190.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite352.0ms

Algorithm
rewrite-expression-head
Rules
190×add-sqr-sqrt
186×*-un-lft-identity
168×times-frac
94×sqrt-prod
80×add-cube-cbrt
48×associate-*r*
37×distribute-lft-out
34×associate-*l*
32×difference-of-squares
20×add-exp-log add-cbrt-cube
16×distribute-lft-out--
14×associate-/r*
10×associate-/l*
9×pow1 unswap-sqr
8×sqrt-div associate-/r/
6×cbrt-undiv div-exp add-log-exp
5×flip3-+ flip-+
4×prod-exp cbrt-unprod div-inv associate-/l/
2×flip3-- frac-2neg clear-num flip-- pow-div
1×frac-times sub-neg sqrt-pow1 pow1/2 diff-log div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 255
Calls
4 calls:
17.0ms
(- x (/ 1.0 3.0))
198.0ms
(* (/ (+ x (/ 1.0 3.0)) (sqrt (+ x (/ 1.0 3.0)))) (/ (- x (/ 1.0 3.0)) (sqrt (+ x (/ 1.0 3.0)))))
54.0ms
(/ (- x (/ 1.0 3.0)) (sqrt (+ x (/ 1.0 3.0))))
58.0ms
(/ (+ x (/ 1.0 3.0)) (sqrt (+ x (/ 1.0 3.0))))

series232.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(- x (/ 1.0 3.0))
32.0ms
(* (/ (+ x (/ 1.0 3.0)) (sqrt (+ x (/ 1.0 3.0)))) (/ (- x (/ 1.0 3.0)) (sqrt (+ x (/ 1.0 3.0)))))
132.0ms
(/ (- x (/ 1.0 3.0)) (sqrt (+ x (/ 1.0 3.0))))
43.0ms
(/ (+ x (/ 1.0 3.0)) (sqrt (+ x (/ 1.0 3.0))))

simplify1.3s

Counts
267 → 267

prune618.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (+ x (/ 1.0 3.0)))
0.0b
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
0.0b
(+ x (/ 1.0 3.0))
16.6b
(* (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (/ 1 (+ x (/ 1.0 3.0))))

rewrite151.0ms

Algorithm
rewrite-expression-head
Rules
39×*-un-lft-identity
29×add-sqr-sqrt
26×times-frac
22×add-cube-cbrt
18×associate-*r*
17×add-exp-log
11×add-cbrt-cube
8×distribute-lft-out add-log-exp
7×pow1
4×div-exp associate-*l* prod-exp associate-/r* associate-/r/
3×flip3-- flip3-+ flip-- flip-+ associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ cbrt-unprod div-inv difference-of-squares
1×+-commutative sub-neg pow-flip frac-2neg diff-log associate-*r/ pow-prod-down clear-num sum-log un-div-inv *-commutative inv-pow
Counts
4 → 108
Calls
4 calls:
22.0ms
(/ 1 (+ x (/ 1.0 3.0)))
13.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
20.0ms
(+ x (/ 1.0 3.0))
92.0ms
(* (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (/ 1 (+ x (/ 1.0 3.0))))

series208.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(/ 1 (+ x (/ 1.0 3.0)))
50.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
24.0ms
(+ x (/ 1.0 3.0))
109.0ms
(* (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (/ 1 (+ x (/ 1.0 3.0))))

simplify1.1s

Counts
120 → 120

prune303.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes27.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify15.0ms

end0.0ms

sample359.0ms

Algorithm
intervals
Results
181.0ms8000×body80valid