Details

Time bar (total: 6.1s)

sample11.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
057
1117
2147
3167
done167

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- x y) (+ x y))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
6×distribute-lft-out
5×associate-/l* distribute-lft-out-- difference-of-squares
4×associate-/r*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-sub div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 46
Calls
1 calls:
12.0ms
(/ (- x y) (+ x y))

series66.0ms

Counts
1 → 3
Calls
1 calls:
66.0ms
(/ (- x y) (+ x y))

simplify1.9s

Counts
49 → 49
Iterations

Useful iterations: 4 (760.0ms)

IterNodesCost
078600
1187573
2416545
3977545
42499538
done5000538

prune74.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- x y) (+ x y))
0.0b
(cbrt (pow (/ (- x y) (+ x y)) 3))
0.0b
(pow (/ (- x y) (+ x y)) 3)

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
150×*-un-lft-identity
100×times-frac
98×add-sqr-sqrt
58×cbrt-prod
56×add-cube-cbrt
52×unpow-prod-down cube-prod
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
10×associate-/r/
8×add-exp-log add-cbrt-cube
5×flip3-+ flip-+ div-inv associate-/l*
4×pow1 associate-/r*
3×pow-unpow add-log-exp
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp associate-/l/ rem-cube-cbrt sqr-pow
1×pow-to-exp cbrt-div flip3-- pow-pow frac-2neg pow1/3 div-sub clear-num flip-- rem-cbrt-cube
Counts
3 → 186
Calls
3 calls:
11.0ms
(/ (- x y) (+ x y))
16.0ms
(cbrt (pow (/ (- x y) (+ x y)) 3))
12.0ms
(pow (/ (- x y) (+ x y)) 3)

series219.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(/ (- x y) (+ x y))
84.0ms
(cbrt (pow (/ (- x y) (+ x y)) 3))
72.0ms
(pow (/ (- x y) (+ x y)) 3)

simplify699.0ms

Counts
195 → 195
Iterations

Useful iterations: 2 (223.0ms)

IterNodesCost
01773354
14962765
215282550
done50012550

prune235.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (/ (- x y) (+ x y)))
0.0b
(cbrt (pow (/ (- x y) (+ x y)) 2))
0.0b
(* (cbrt (pow (/ (- x y) (+ x y)) 2)) (cbrt (/ (- x y) (+ x y))))
0.0b
(pow (/ (- x y) (+ x y)) 2)

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
149×*-un-lft-identity
142×cbrt-prod
138×add-sqr-sqrt
109×times-frac
84×unpow-prod-down
59×add-cube-cbrt
34×associate-*l*
29×associate-*r*
25×distribute-lft-out
20×distribute-lft-out-- difference-of-squares
18×unswap-sqr
10×associate-/r/
9×add-exp-log
7×pow1 unpow2
6×sqr-pow
5×flip3-+ flip-+ div-inv
4×pow1/3 add-cbrt-cube add-log-exp
3×pow-unpow
2×cbrt-div pow-prod-down pow-exp
1×pow-to-exp pow-pow associate-*r/ div-exp pow3 prod-exp *-commutative cbrt-unprod
Counts
4 → 211
Calls
4 calls:
5.0ms
(cbrt (/ (- x y) (+ x y)))
12.0ms
(cbrt (pow (/ (- x y) (+ x y)) 2))
90.0ms
(* (cbrt (pow (/ (- x y) (+ x y)) 2)) (cbrt (/ (- x y) (+ x y))))
12.0ms
(pow (/ (- x y) (+ x y)) 2)

series471.0ms

Counts
4 → 12
Calls
4 calls:
212.0ms
(cbrt (/ (- x y) (+ x y)))
102.0ms
(cbrt (pow (/ (- x y) (+ x y)) 2))
91.0ms
(* (cbrt (pow (/ (- x y) (+ x y)) 2)) (cbrt (/ (- x y) (+ x y))))
67.0ms
(pow (/ (- x y) (+ x y)) 2)

simplify1.4s

Counts
223 → 223
Iterations

Useful iterations: 3 (783.0ms)

IterNodesCost
02594466
15264212
210894015
334083991
done50013991

prune481.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes33.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
1910
done910

end0.0ms

sample279.0ms

Algorithm
intervals
Results
152.0ms8000×body80valid