Details

Time bar (total: 8.5s)

sample16.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
155
done55

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ x (+ x y))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×times-frac
10×add-sqr-sqrt add-cube-cbrt
4×associate-/r* distribute-lft-out
3×add-exp-log add-cbrt-cube associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv add-log-exp
Counts
1 → 33
Calls
1 calls:
14.0ms
(/ x (+ x y))

series69.0ms

Counts
1 → 3
Calls
1 calls:
69.0ms
(/ x (+ x y))

simplify1.2s

Counts
36 → 36
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
059324
1128305
2416287
32208287
done5002287

prune81.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (+ x y))
0.1b
(pow (/ x (+ x y)) 3)
11.9b
(cbrt (pow (/ x (+ x y)) 3))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
78×*-un-lft-identity
60×times-frac
46×add-sqr-sqrt add-cube-cbrt
42×cbrt-prod
36×unpow-prod-down cube-prod
16×distribute-lft-out
10×associate-/r/
8×add-exp-log add-cbrt-cube
5×flip3-+ flip-+ div-inv
4×pow1 associate-/r*
3×pow-unpow associate-/l* add-log-exp
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp rem-cube-cbrt sqr-pow
1×pow-to-exp cbrt-div pow-pow frac-2neg pow1/3 clear-num rem-cbrt-cube
Counts
3 → 141
Calls
3 calls:
17.0ms
(/ x (+ x y))
27.0ms
(pow (/ x (+ x y)) 3)
22.0ms
(cbrt (pow (/ x (+ x y)) 3))

series209.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ x (+ x y))
106.0ms
(pow (/ x (+ x y)) 3)
54.0ms
(cbrt (pow (/ x (+ x y)) 3))

simplify1.7s

Counts
150 → 150
Iterations

Useful iterations: 2 (443.0ms)

IterNodesCost
01472035
15141617
230271467
done50001467

prune282.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (pow (/ x (+ x y)) 3) 3)
0.1b
(pow (/ x (+ x y)) 3)
5.2b
(cbrt (pow (pow (/ x (+ x y)) 3) 3))
11.9b
(cbrt (cbrt (pow (pow (/ x (+ x y)) 3) 3)))

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
273×cbrt-prod
252×unpow-prod-down cube-prod
211×*-un-lft-identity
168×times-frac
127×add-sqr-sqrt add-cube-cbrt
42×distribute-lft-out
28×associate-/r/
14×flip3-+ flip-+ div-inv
11×add-exp-log
10×cube-mult unpow3 sqr-pow
8×pow-exp add-cbrt-cube
7×cube-div
6×pow-unpow
5×pow1
4×add-log-exp
3×pow-to-exp cbrt-div rem-cube-cbrt
2×pow-pow pow1/3 div-exp
1×cbrt-undiv rem-cbrt-cube
Counts
4 → 363
Calls
4 calls:
31.0ms
(pow (pow (/ x (+ x y)) 3) 3)
22.0ms
(pow (/ x (+ x y)) 3)
44.0ms
(cbrt (pow (pow (/ x (+ x y)) 3) 3))
37.0ms
(cbrt (cbrt (pow (pow (/ x (+ x y)) 3) 3)))

series641.0ms

Counts
4 → 12
Calls
4 calls:
337.0ms
(pow (pow (/ x (+ x y)) 3) 3)
97.0ms
(pow (/ x (+ x y)) 3)
155.0ms
(cbrt (pow (pow (/ x (+ x y)) 3) 3))
51.0ms
(cbrt (cbrt (pow (pow (/ x (+ x y)) 3) 3)))

simplify3.0s

Counts
375 → 375
Iterations

Useful iterations: 2 (930.0ms)

IterNodesCost
02357513
18695518
246494664
done50004664

prune469.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes52.0ms

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
045
155
done55

end0.0ms

sample504.0ms

Algorithm
intervals
Results
226.0ms8000×body80valid