Details

Time bar (total: 7.3s)

sample21.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
165
done65

prune4.0ms

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))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
3×*-un-lft-identity add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt flip3-+ sum-log add-cbrt-cube flip-+ distribute-lft-out
Counts
1 → 12
Calls
1 calls:
19.0ms
(+ x (/ 1.0 3.0))

series25.0ms

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

simplify1.1s

Counts
15 → 15
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
028123
178118
2209108
3564108
41595108
done5000108

prune80.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

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)))
13.1b
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
30×times-frac
27×*-un-lft-identity
20×difference-of-squares
15×add-cube-cbrt
7×add-log-exp
6×associate-/r* distribute-lft-out--
5×add-exp-log add-cbrt-cube
4×flip3-- flip-- associate-/l*
3×pow1
2×sub-neg diff-log associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv
Counts
3 → 79
Calls
3 calls:
26.0ms
(- x (/ 1.0 3.0))
17.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
75.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)))

series253.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(- x (/ 1.0 3.0))
75.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
147.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)))

simplify1.0s

Counts
88 → 88
Iterations

Useful iterations: done (1000.0ms)

IterNodesCost
01311858
13441757
215081487
done50011485

prune311.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (/ 1.0 3.0))
1.0b
(pow (/ 1.0 3.0) 3)
13.2b
(* (/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- (pow x 3) (pow (/ 1.0 3.0) 3))) (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))
18.2b
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- (pow x 3) (pow (/ 1.0 3.0) 3)))

rewrite634.0ms

Algorithm
rewrite-expression-head
Rules
529×add-sqr-sqrt
365×times-frac
283×difference-of-squares
195×*-un-lft-identity
175×unpow-prod-down cube-prod
141×associate-*l*
105×add-cube-cbrt
91×sqr-pow
45×distribute-lft-out--
33×associate-/r*
19×add-exp-log add-cbrt-cube
16×associate-*r*
9×pow1 difference-cubes
5×div-inv
4×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l* add-log-exp unswap-sqr
3×pow-unpow flip3-- associate-*r/ flip--
2×frac-times flip3-+ pow-prod-down pow-exp *-commutative flip-+ associate-/l/ rem-cube-cbrt
1×cube-div distribute-rgt-in cube-mult pow-to-exp pow-pow frac-2neg distribute-lft-in unpow3 div-sub associate-*l/ clear-num
Counts
4 → 427
Calls
4 calls:
16.0ms
(* x (/ 1.0 3.0))
7.0ms
(pow (/ 1.0 3.0) 3)
435.0ms
(* (/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- (pow x 3) (pow (/ 1.0 3.0) 3))) (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))
140.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- (pow x 3) (pow (/ 1.0 3.0) 3)))

series417.0ms

Counts
4 → 10
Calls
4 calls:
16.0ms
(* x (/ 1.0 3.0))
0.0ms
(pow (/ 1.0 3.0) 3)
319.0ms
(* (/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- (pow x 3) (pow (/ 1.0 3.0) 3))) (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))
82.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- (pow x 3) (pow (/ 1.0 3.0) 3)))

simplify933.0ms

Counts
437 → 437
Iterations

Useful iterations: done (915.0ms)

IterNodesCost
048314962
1196513715
done500112942

prune1.8s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes72.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
165
done65

end0.0ms

sample406.0ms

Algorithm
intervals
Results
206.0ms8000×body80valid