Details

Time bar (total: 10.5s)

sample22.0ms

Algorithm
intervals
Results
8.0ms256×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))

rewrite19.0ms

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 expm1-log1p-u frac-2neg flip3-+ div-exp clear-num flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 35
Calls
1 calls:
18.0ms
(/ x (+ x y))

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(/ x (+ x y))

simplify1.5s

Counts
38 → 38
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
061336
1131317
2433299
32441299
done5001299

prune98.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

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)))

rewrite152.0ms

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×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 188
Calls
4 calls:
97.0ms
(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
12.0ms
(cbrt (/ x (+ x y)))
12.0ms
(cbrt (/ x (+ x y)))
12.0ms
(cbrt (/ x (+ x y)))

series718.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
160.0ms
(cbrt (/ x (+ x y)))
147.0ms
(cbrt (/ x (+ x y)))
212.0ms
(cbrt (/ x (+ x y)))

simplify1.2s

Counts
200 → 200
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01673130
12932901
211822813
done50002733

prune767.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (pow (/ x (+ x y)) 1/3) (cbrt (/ x (+ x y))))
6.5b
(cbrt (/ x (+ x y)))
6.5b
(cbrt (/ x (+ x y)))
7.1b
(pow (/ x (+ x y)) 1/3)

rewrite167.0ms

Algorithm
rewrite-expression-head
Rules
77×*-un-lft-identity
75×add-sqr-sqrt
67×times-frac
62×cbrt-prod
47×add-cube-cbrt
42×unpow-prod-down
22×associate-*l*
21×associate-*r*
15×add-exp-log distribute-lft-out
12×unswap-sqr
10×associate-/r/
5×pow1 flip3-+ pow1/3 add-cbrt-cube flip-+ div-inv sqr-pow
4×expm1-log1p-u pow-exp prod-exp log1p-expm1-u add-log-exp
3×pow-unpow cbrt-div
2×pow-to-exp unpow1/3 div-exp cbrt-unprod
1×pow-pow associate-*r/ pow-prod-down pow-sqr *-commutative pow-prod-up
Counts
4 → 169
Calls
4 calls:
97.0ms
(* (pow (/ x (+ x y)) 1/3) (cbrt (/ x (+ x y))))
10.0ms
(cbrt (/ x (+ x y)))
11.0ms
(cbrt (/ x (+ x y)))
33.0ms
(pow (/ x (+ x y)) 1/3)

series774.0ms

Counts
4 → 12
Calls
4 calls:
203.0ms
(* (pow (/ x (+ x y)) 1/3) (cbrt (/ x (+ x y))))
184.0ms
(cbrt (/ x (+ x y)))
171.0ms
(cbrt (/ x (+ x y)))
216.0ms
(pow (/ x (+ x y)) 1/3)

simplify3.6s

Counts
181 → 181
Iterations

Useful iterations: done (3.6s)

IterNodesCost
02012635
15182240
228642086
done50002050

prune724.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes43.0ms

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

sample499.0ms

Algorithm
intervals
Results
189.0ms8000×body80valid