Details

Time bar (total: 9.1s)

sample21.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0482
1582
done582

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ x (+ x y))

rewrite11.0ms

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-cbrt-cube add-exp-log associate-/l*
2×associate-/r/
1×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 35
Calls
1 calls:
10.0ms
(/ x (+ x y))

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(/ x (+ x y))

simplify1.9s

Counts
38 → 38
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
0617280
11316583
24256478
321586478
done50006478

prune172.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
8.6b
(cbrt (/ x (+ x y)))
8.6b
(cbrt (/ x (+ x y)))
8.6b
(cbrt (/ x (+ x y)))

rewrite84.0ms

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-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 188
Calls
4 calls:
57.0ms
(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
5.0ms
(cbrt (/ x (+ x y)))
5.0ms
(cbrt (/ x (+ x y)))
5.0ms
(cbrt (/ x (+ x y)))

series767.0ms

Counts
4 → 12
Calls
4 calls:
203.0ms
(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
189.0ms
(cbrt (/ x (+ x y)))
207.0ms
(cbrt (/ x (+ x y)))
167.0ms
(cbrt (/ x (+ x y)))

simplify1.5s

Counts
200 → 200
Iterations

Useful iterations: done (1.5s)

IterNodesCost
016772827
129367127
2118166961
done500166281

prune1.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x y))
0.0b
(* (* (/ x (+ x y)) (/ x (+ x y))) (/ x (+ x y)))
0.1b
(* (/ x (+ x y)) (/ x (+ x y)))
14.9b
(cbrt (* (* (/ x (+ x y)) (/ x (+ x y))) (/ x (+ x y))))

rewrite285.0ms

Algorithm
rewrite-expression-head
Rules
113×*-un-lft-identity
89×times-frac
72×add-sqr-sqrt
59×add-cbrt-cube add-exp-log
57×add-cube-cbrt
36×associate-*r*
30×pow1
25×distribute-lft-out
24×swap-sqr
22×prod-exp cbrt-unprod
19×associate-*l*
18×cbrt-undiv div-exp
12×associate-/r/
11×frac-times associate-*l/
7×cbrt-div pow-plus associate-*r/ pow-prod-up
6×flip3-+ flip-+ div-inv unswap-sqr
4×expm1-log1p-u associate-/r* pow-prod-down log1p-expm1-u add-log-exp
3×pow2 pow-sqr associate-/l*
2×pow3 *-commutative
1×cbrt-prod clear-num frac-2neg pow1/3 rem-cbrt-cube
Counts
4 → 213
Calls
4 calls:
17.0ms
(/ x (+ x y))
108.0ms
(* (* (/ x (+ x y)) (/ x (+ x y))) (/ x (+ x y)))
58.0ms
(* (/ x (+ x y)) (/ x (+ x y)))
86.0ms
(cbrt (* (* (/ x (+ x y)) (/ x (+ x y))) (/ x (+ x y))))

series316.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(/ x (+ x y))
103.0ms
(* (* (/ x (+ x y)) (/ x (+ x y))) (/ x (+ x y)))
90.0ms
(* (/ x (+ x y)) (/ x (+ x y)))
62.0ms
(cbrt (* (* (/ x (+ x y)) (/ x (+ x y))) (/ x (+ x y))))

simplify1.3s

Counts
225 → 225
Iterations

Useful iterations: done (1.3s)

IterNodesCost
020755217
172549110
done500145701

prune947.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes131.0ms

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
0482
1582
done582

end0.0ms

sample482.0ms

Algorithm
intervals
Results
223.0ms8000×body80valid