Details

Time bar (total: 8.2s)

sample21.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify25.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (/ 1.0 3.0))

rewrite23.0ms

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))

simplify1.8s

Counts
18 → 18

prune35.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ 1.0 3.0))
0.0b
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
19.1b
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))

rewrite80.0ms

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:
17.0ms
(+ x (/ 1.0 3.0))
9.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
51.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))

series217.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(+ x (/ 1.0 3.0))
74.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
120.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))

simplify611.0ms

Counts
75 → 75

prune205.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ 1.0 3.0))
0.0b
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
0.0b
(/ 1 (+ x (/ 1.0 3.0)))
19.2b
(* (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (/ 1 (+ x (/ 1.0 3.0))))

rewrite173.0ms

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:
17.0ms
(+ x (/ 1.0 3.0))
16.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
35.0ms
(/ 1 (+ x (/ 1.0 3.0)))
100.0ms
(* (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (/ 1 (+ x (/ 1.0 3.0))))

series237.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(+ x (/ 1.0 3.0))
65.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
29.0ms
(/ 1 (+ x (/ 1.0 3.0)))
117.0ms
(* (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (/ 1 (+ x (/ 1.0 3.0))))

simplify1.1s

Counts
120 → 120

prune269.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ 1.0 3.0) (- (/ 1.0 3.0) x))
1.0b
(pow (/ 1.0 3.0) 3)
19.1b
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (/ (+ (pow x 3) (pow (/ 1.0 3.0) 3)) (+ (* (/ 1.0 3.0) (- (/ 1.0 3.0) x)) (pow x 2))))
25.1b
(/ (+ (pow x 3) (pow (/ 1.0 3.0) 3)) (+ (* (/ 1.0 3.0) (- (/ 1.0 3.0) x)) (pow x 2)))

rewrite593.0ms

Algorithm
rewrite-expression-head
Rules
332×*-un-lft-identity
323×times-frac
150×add-sqr-sqrt
140×add-cube-cbrt
95×distribute-lft-out
89×unpow-prod-down cube-prod
36×associate-/r* difference-of-squares
19×add-exp-log sum-cubes add-cbrt-cube
13×associate-*l* associate-/r/ associate-/l*
10×div-inv
7×pow1 flip3-+ flip-+
6×cbrt-undiv div-exp associate-*r*
4×associate-/l/ add-log-exp
3×pow-unpow flip3-- flip--
2×distribute-rgt-in frac-times sub-neg frac-2neg distribute-lft-in associate-*r/ pow-exp prod-exp clear-num cbrt-unprod rem-cube-cbrt unswap-sqr
1×cube-div cube-mult pow-to-exp pow-pow unpow3 div-sub pow-prod-down associate-*l/ *-commutative distribute-lft-out-- sqr-pow
Counts
4 → 331
Calls
4 calls:
93.0ms
(* (/ 1.0 3.0) (- (/ 1.0 3.0) x))
10.0ms
(pow (/ 1.0 3.0) 3)
219.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (/ (+ (pow x 3) (pow (/ 1.0 3.0) 3)) (+ (* (/ 1.0 3.0) (- (/ 1.0 3.0) x)) (pow x 2))))
240.0ms
(/ (+ (pow x 3) (pow (/ 1.0 3.0) 3)) (+ (* (/ 1.0 3.0) (- (/ 1.0 3.0) x)) (pow x 2)))

series562.0ms

Counts
4 → 10
Calls
4 calls:
61.0ms
(* (/ 1.0 3.0) (- (/ 1.0 3.0) x))
0.0ms
(pow (/ 1.0 3.0) 3)
308.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (/ (+ (pow x 3) (pow (/ 1.0 3.0) 3)) (+ (* (/ 1.0 3.0) (- (/ 1.0 3.0) x)) (pow x 2))))
193.0ms
(/ (+ (pow x 3) (pow (/ 1.0 3.0) 3)) (+ (* (/ 1.0 3.0) (- (/ 1.0 3.0) x)) (pow x 2)))

simplify739.0ms

Counts
341 → 341

prune968.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes29.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify14.0ms

end0.0ms

sample448.0ms

Algorithm
intervals
Results
228.0ms8000×body80valid