Details

Time bar (total: 11.1s)

sample23.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
155
done55

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ x (+ x y))

rewrite24.0ms

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:
21.0ms
(/ x (+ x y))

series69.0ms

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

simplify1.5s

Counts
36 → 36
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
059324
1128305
2416287
32208287
done5002287

prune84.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
6.5b
(cbrt (/ x (+ x y)))
6.5b
(cbrt (/ x (+ x y)))
6.5b
(cbrt (/ x (+ x y)))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
150×cbrt-prod
128×*-un-lft-identity
102×times-frac
92×add-sqr-sqrt
68×add-cube-cbrt
27×swap-sqr distribute-lft-out
21×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-+ flip-+ div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 180
Calls
4 calls:
72.0ms
(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
6.0ms
(cbrt (/ x (+ x y)))
11.0ms
(cbrt (/ x (+ x y)))
16.0ms
(cbrt (/ x (+ x y)))

series782.0ms

Counts
4 → 12
Calls
4 calls:
232.0ms
(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
176.0ms
(cbrt (/ x (+ x y)))
191.0ms
(cbrt (/ x (+ x y)))
182.0ms
(cbrt (/ x (+ x y)))

simplify1.5s

Counts
192 → 192
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01633060
12852837
211872749
done50012676

prune720.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
6.5b
(cbrt (/ x (+ x y)))
6.5b
(cbrt (/ x (+ x y)))
7.1b
(pow (/ x (+ x y)) 1/3)

rewrite151.0ms

Algorithm
rewrite-expression-head
Rules
132×cbrt-prod
129×*-un-lft-identity
102×times-frac
93×add-sqr-sqrt
69×add-cube-cbrt
27×swap-sqr distribute-lft-out
21×associate-*r* associate-*l*
18×unpow-prod-down
14×associate-/r/
12×pow1
9×add-exp-log unswap-sqr
8×pow1/3
7×flip3-+ flip-+ div-inv
6×cbrt-div
4×add-cbrt-cube add-log-exp
3×pow-unpow
2×pow-prod-down pow-exp pow-sqr pow-prod-up
1×pow2 frac-times pow-to-exp pow-pow pow-plus unpow1/3 associate-*r/ div-exp associate-*l/ prod-exp *-commutative cbrt-unprod sqr-pow
Counts
4 → 187
Calls
4 calls:
87.0ms
(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
18.0ms
(cbrt (/ x (+ x y)))
7.0ms
(cbrt (/ x (+ x y)))
14.0ms
(pow (/ x (+ x y)) 1/3)

series788.0ms

Counts
4 → 12
Calls
4 calls:
233.0ms
(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
156.0ms
(cbrt (/ x (+ x y)))
209.0ms
(cbrt (/ x (+ x y)))
190.0ms
(pow (/ x (+ x y)) 1/3)

simplify4.1s

Counts
199 → 199
Iterations

Useful iterations: done (4.1s)

IterNodesCost
02113172
15532730
238122324
done50012315

prune677.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes41.0ms

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

sample613.0ms

Algorithm
intervals
Results
274.0ms8000×body80valid