Details

Time bar (total: 11.1s)

sample28.0ms

Algorithm
intervals
Results
14.0ms256×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

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (/ 1.0 3.0))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
4×*-un-lft-identity
3×fma-def add-log-exp
2×add-sqr-sqrt add-cube-cbrt
1×pow1 add-exp-log +-commutative expm1-log1p-u flip3-+ sum-log add-cbrt-cube flip-+ log1p-expm1-u distribute-lft-out
Counts
1 → 17
Calls
1 calls:
19.0ms
(+ x (/ 1.0 3.0))

series19.0ms

Counts
1 → 3
Calls
1 calls:
19.0ms
(+ x (/ 1.0 3.0))

simplify1.7s

Counts
20 → 20
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
030135
183129
2226119
3628119
41934119
done5001119

prune105.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

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)))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
80×add-sqr-sqrt
62×*-un-lft-identity
57×times-frac
50×add-cube-cbrt
40×prod-diff
20×difference-of-squares
7×add-log-exp
6×associate-/r* distribute-lft-out--
5×add-exp-log add-cbrt-cube
4×flip3-- fma-neg flip-- div-inv associate-/l*
3×pow1 expm1-log1p-u log1p-expm1-u
2×sub-neg diff-log associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-sub div-exp clear-num
Counts
3 → 129
Calls
3 calls:
13.0ms
(- x (/ 1.0 3.0))
9.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
63.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)))

series242.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(- x (/ 1.0 3.0))
64.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
152.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)))

simplify3.3s

Counts
138 → 138
Iterations

Useful iterations: done (3.3s)

IterNodesCost
02513504
16653199
235352504
done50002495

prune517.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize47.0ms

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)))

rewrite680.0ms

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 expm1-log1p-u div-exp prod-exp associate-/r/ cbrt-unprod log1p-expm1-u 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 → 435
Calls
4 calls:
27.0ms
(* x (/ 1.0 3.0))
9.0ms
(pow (/ 1.0 3.0) 3)
455.0ms
(* (/ (- (* 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)))))
128.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- (pow x 3) (pow (/ 1.0 3.0) 3)))

series409.0ms

Counts
4 → 10
Calls
4 calls:
24.0ms
(* x (/ 1.0 3.0))
0.0ms
(pow (/ 1.0 3.0) 3)
316.0ms
(* (/ (- (* 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)))))
69.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- (pow x 3) (pow (/ 1.0 3.0) 3)))

simplify1.3s

Counts
445 → 445
Iterations

Useful iterations: done (1.3s)

IterNodesCost
049115110
1198913676
done500112854

prune2.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes87.0ms

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

sample437.0ms

Algorithm
intervals
Results
208.0ms8000×body80valid